in the Pythagorean Theorem, the sum of the squares of the legs is equal to the square of the

Answers

Answer 1

Answer:

71

Step-by-step explanation:

because the theorem is sum of the square

Answer 2

The answer is d. hypotenuse.

Here's why:

The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (the legs).

So, if you have a right triangle with legs of length a and b, and hypotenuse of length c, the equation would be: a^2 + b^2 = c^2.

Therefore, the sum of the squares of the legs (a^2 + b^2) is equal to the square of the hypotenuse (c^2).

The other options are incorrect because:

a. shorter leg: The theorem doesn't differentiate between the lengths of the legs, it simply states that the sum of their squares is equal to the square of the hypotenuse.

b. longer leg: Same as above, the theorem doesn't consider the individual lengths of the legs, just their squares.

c. sum of the angles: The Pythagorean Theorem deals with the sides of a right triangle, not its angles. The sum of the angles in any triangle is always 180 degrees.

Complete Question:

In the Pythagorean Theorem, the sum of the squares of the legs is equal to the square of the

a. shorter leg

b. longer leg

c. sum of the angles

d. hypotenuse


Related Questions

how can u change this rhombus so that its also a square
A.make to sides longer
B.make all right angles
C.make all sides longer
D.make all angles wider

Answers

Answer:

Make all sides right angles

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

A square must have 4 right angles and perpendicular congruent diagonals which already meets the requirements of a rhombus.

What method can be used to write the equation of a line in slope-intercept form given two points?
A. Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.
B. Find the slope using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.
C. Find the y-intercept using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope.
D. Find the y-intercept using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope.

Answers

Answer:

The Answer is the first one, A                                            

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.

F(x)=x^2 - 1/x - 4
Can someone please help me with this

Answers

That is a really hard one so I think that you should just do a new one honestly keeping it a buck 100 witcha lil brah

Nina opened a savings account and deposited $300.00. The account earns 4% interest, compounded monthly. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?

Answers

Answer:

up to $338.18

Step-by-step explanation:

Use the compound amount formula:

A = P(1 + r/n)^(n*t), where r is the interest rate as a decimal fraction and n is the number of compounding periods per year.

Here, A = $300(1 + 0.04/12)^(12*3), or

          A = $300(1.0033333)^*36, or

          A = $300(1.127) = $338.18

Nina will be able to spend up to $338.18 on a new bike.

turn 4% into a decimal by dividing it by 100
4/100=0.04
0.04times300=$12 in interest
12months times 3yrs=36 months
36times$12=$432

nina will be able to spend $432 on the bike

deon buys candy that cost $6 per pound. he will buy at most 7 pounds. write answer as inequality

Answers

Answer:

x ≤ 42 dollars

Step-by-step explanation:

Deon will buy at most 7 pounds, and we know that it costs 6 per pound, so we multiply 7 and 6 to get 42. Deon will not buy over 7 pounds, so that means less than or equal to.

In a large city, 46% of adults support the local football team building a new stadium. If a poll is taken from a random sample of 80 adults in the large city, which of the following properly describes the sampling distribution of the sample proportion of adults who support the stadium?*

Answers

Answer: 0.46, 0.056, the distribution is approximately normal

Step-by-step explanation: The shape is approximately normal since the expected number of successes equals 36.8 and the expected number of failures equals 43.2 are both larger than 10

PLS HELPP Mr. Clark needed to rent a moving van. Company A charges a rate of $90 per hour plus a $50 truck
fee. Company B charges $70 per hour plus a $90 truck fee. For what number of rental hours is the cost
for both companies the same?​

Answers

Answer:

2 hours

Step-by-step explanation:

According to the information provided you can say that for company A, the total cost is equal to 90 for the number of hours plus the 50 fee. For company B, the total cost is equal to 70 for the number of hours plus 90.

90x+50= 70x+90

x= number of rental hours

Then, you have solve for x:

90x-70x=90-50

20x=40

x=40/20

x= 2

The cost for both companies is the same for 2 rental hours.

Answer:

h = 2 hrs

Step-by-step explanation:

Mr Clark needed to rent a moving Van.

Company A charges

cost = 50 + 90(h)

where

h = number of hours used

Company B charges

cost = 90 + 70(h)

where

h = number of hour used

The number of rental hours when both companies cost is same is when both the cost equation is equal to each other.

Therefore,

50 + 90(h) = 90 + 70(h)

50 - 90 = 70h - 90h

-40 = -20h

divide both sides by -20

h = -40/-20

h = 2 hrs

The pie chart shows information about the grades achieved by all of the candidates in Keval's school who took AS Level English in 2015. 8 candidates achieved grade C. Work out the number of candidates in Keval's school who took AS Level English in 2015, showing your working out (2 marks)

Answers

Answer:

you have to put the pie chart to get an answer

Step-by-step explanation:

Suppose that 200 flies are ee, 150 flies are ee, and 150 flies are ee. calculate the frequencies of the 3 genotypes for this population. do not leave your answers as fractions!

Answers

Complete Question

Imagine a large Source [tex](S_o)[/tex] population of 500  files at a particular time we will call [tex]T_s[/tex].The files have brown ebony bodies. Suppose that 200 flies are ee, 150 flies are Ee, and 150 flies are EE. calculate the frequencies of the 3 genotypes for this population. do not leave your answers as fractions!

Answer:

The frequency of  genotype ee is  [tex]f_{ee}= 0.4[/tex]

The frequency of  genotype Ee is [tex]f_{Ee} = 0.3[/tex]

The frequency of  genotype EE is [tex]f_{EE} = 0.3[/tex]

Step-by-step explanation:

From the question we are told that

   The number of files with genotype ee is [tex]ee = 200[/tex]

    The number of files with genotype Ee is [tex]Ee = 150[/tex]

    The number of files with genotype  [tex]EE[/tex] is [tex]EE = 150[/tex]

The frequency of  genotype ee is mathematically evaluated as

      [tex]f_{ee} = \frac{200}{500}[/tex]

      [tex]f_{ee}= 0.4[/tex]

The frequency of  genotype Ee is mathematically evaluated as

      [tex]f_{Ee} = \frac{150}{500}[/tex]

      [tex]f_{Ee} = 0.3[/tex]

The frequency of  genotype EE is mathematically evaluated as

      [tex]f_{EE} = \frac{150}{500}[/tex]

      [tex]f_{EE} = 0.3[/tex]

Find the area of a circle with radius 8.5m to the nearest square unit

Answers

Answer:

Circle Area = PI * radius^2

Area = PI * 8.5^2

Area = 226.98

Area = 227 square meters

Step-by-step explanation:

Given ABC = FGE find m

Answers

Answer:

Step-by-step explanation:

trg CDE ,<C=<E=(180-20)/2=80

trg ABC,<C=80

<A=180-(80+52)=180-132=48

so <F=<A=48 grades

The answer is attached.

When making a batch of orange juice for her basketball team Jackie used 5 times as much water as concentrate. There were 32 more cups of water than concentrate. How much juice did she make in all? She poured the juice in 2 quart containers how many containers could she feel?

Answers

Answer:

48 cups of orange juice,  24 containers.

Step-by-step explanation:

Given:

Jackie used 5 times as much water as concentrate to make orange juice.

There were 32 more cups of water than concentrate.

Question asked:

How much juice did she make in all ?

She poured the juice in 2 quart containers how many containers could she fill ?

Solution:

Let concentrate used in the juice = [tex]x[/tex]

As Jackie used 5 times as much water as concentrate:

Then water  used in the juice = [tex]5x[/tex]

According to question:

To make orange juice 32 more cups of water used than concentrate is equals to to make orange juice, Jackie used 5 times as much water as concentrate, we will write this as:-

[tex]x+5x=x+x+32\\6x=2x+32\\[/tex]

Subtracting both sides by [tex]2x[/tex]

[tex]4x=32\\[/tex]

Dividing both sides by 4

[tex]x=8[/tex]

Concentrate used in the juice = [tex]x[/tex] = 8 cups

Water  used in the juice = [tex]5x[/tex] = [tex]5\times8=40\ cups[/tex]

Total quantity of juice =8 + 40 = 48 cups

Thus, she made 48 cups of orange juice for her basketball team.

Now, as she poured the juice in 2 quart containers, we have to find number of containers could be filled, we will simply divide total quantity of juice by 2 quart

Number of 2 quart containers = 48 cups [tex]\div[/tex] 2 = 24 containers

Thus, she can fill 24 containers.

The diagram shows AHJK. Which term describes point L?

Answers

5914 1404 393

Answer:

  C.  Incenter

Step-by-step explanation:

The point of intersection of angle bisectors is the incenter. It is the center of an inscribed circle.

__

Other centers are ...

  circumcenter - intersection of side perpendicular bisectors. The center of a circumscribed circle.

  centroid - the intersection of medians

  orthocenter - the intersection of altitudes

Grace is having trouble deciding what to order for dessert. The options are 4 different flavors of ice cream, 3 different flavors of cake, or 2 different flavors pie. If she were to choose one item at random, what is the probability that she will choose a cake?

Answers

Answer: The probability that she would choose cake is 0.33 (or 33%)

Step-by-step explanation: The number of all possible outcomes is given as follows;

4 (ice cream) + 3(cake) + 2(pie), that is 4 + 3 + 2 = 9  

This means there is a possibility of 9 different outcomes if she decided to choose her dessert at random.

However, there are 3 flavors of cake available which means the possibility of choosing cake is 3.

Therefore the probability that she will choose a cake is give as,

P(Cake) = Number of required outcomes/Number of all possible outcomes

P(Cake) = 3/9

P(Cake) = 1/3 or 0.33

Therefore the probability that she would choose cake is 0.33 or 33%

The radius of a circle is 7 ft. Find its area to the nearest tenth.

Answers

The required area of the circle with a radius of 7 ft is given as 153.9 ft².

What is an area circle?

The area of the circle is given by the pie times square of the radius. Or defined as the area enclosed within the circumference of the circle.

here,
Area of the circle = πr²

From the given data radius is 7ft,
plugging the value in the area formula of the circle,
Area of the circle = 3.14 × 7² = 153.9 ft²

Thus, the required area of the circle with a radius of 7 ft is given as 153.9 ft².

Learn more about circle here:

brainly.com/question/11833983

#SPJ6

Find the percent markdown for an $80 jacket that is in sale for $48

Answers

Answer:

40 percent off

Step-by-step explanation:

40 percent off 80.00 is 48.00

Find the simplified product where x=0: √5x (√8²−2√x)

Answers

Answer:

D Is the answer on edge

Step-by-step explanation:

hope this helps!

The product of the polynomials √(5x) and √(x²) - 2√(x) will be 8√(5x) - 2x√5.

What is a polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The polynomials are given below.

√(5x) and √(8²) - 2√(x)

The product of the polynomials √(5x) and √(x²) - 2√(x) will be given as,

⇒ [√(5x)] [√(8²) - 2√(x)]

⇒ √(5x)√(8²) - 2√(x)√(5x)]

⇒ 8√(5x) - 2x√5

The product of the polynomials √(5x) and √(x²) - 2√(x) will be 8√(5x) - 2x√5.

More about the polynomial link is given below.

https://brainly.com/question/17822016

#SPJ5

Select the choice that translates the following verbal phrase correctly to algebra:

8 times the total of x and 3

A. 8(x + 3)
B. 8x + 3
C. (8x) ⋅ 3
D. 8 + x(3)

Answers

Answer:

8(x+3)

Step-by-step explanation:

The Reason being it is the total of x and 3 times 8.

For it to be 8x+3 you would write it eight times x plus three or eight x plus three

Option A - 8 (x + 3) correctly represents the verbal phrase.

We have the following statement -

8 times the total of x and 3

We have to select the choice that translates the above verbal phrase correctly to algebra.

Rephrase the following verbal phrase into mathematical form - ' n times the sum of a and b '.

The mathematical statement for the above phrase is - n x (a + b)

In the question given to us we have - 8 times the total of x and 3

The mathematical statement for the above phrase will be -

8 (x + 3)

Hence, Option A correctly represents the verbal phrase.

To solve more questions on verbal rephrasing, visit the link below-

https://brainly.com/question/1148842

#SPJ5

A row of plaques covers 252 square feet of space along a wall.

If the plaques are 6 feet tall, what length of the wall do they cover?
The length of the wall that the plaques will cover is feet long.

Answers

Answer:

252/6=42

Step-by-step explanation:

BRAINLIEST PLZ

Answer:

The length of the wall that the plaques will cover is 42 feet long.

Step-by-step explanation:

Wall is rectangular in shape

So Area = length × width

252 = 6 × length

length = 252/6

length = 42

Purse A which contains $1,000 today. If you leave it alone, it will contain $1,200 tomorrow (by magic). The next day, it will have $1,400. This pattern of $200 additional dollars per day will continue. Purse B which contains 1 penny today. Leave that penny in there, because tomorrow it will (magically) turn into 2 pennies. The next day, there will be 4 pennies. The amount in the purse will continue to double each day. How much money will be in each purse after a week? After two weeks? The genie later added that he will let the money in each purse grow for three weeks. How much money will be in each purse then? Which purse contains more money after 30 days?Purse A which contains $1,000 today. If you leave it alone, it will contain $1,200 tomorrow (by magic). The next day, it will have $1,400. This pattern of $200 additional dollars per day will continue.
Purse B which contains 1 penny today. Leave that penny in there, because tomorrow it will (magically) turn into 2 pennies. The next day, there will be 4 pennies. The amount in the purse will continue to double each day.
How much money will be in each purse after a week? After two weeks?
The genie later added that he will let the money in each purse grow for three weeks. How much money will be in each purse then?
Which purse contains more money after 30 days?

Answers

Answer:

After a Week(7 days)

[tex]Purse \:A: \$2200\\Purse B: \$0.64[/tex]

After 2 Weeks(14 days)

[tex]Purse \:A: \$3600\\Purse B: \$81.92[/tex]

After 3 Weeks(21 days)

[tex]Purse \:A: \$5000\\Purse B: \$10485.76[/tex]

After 30 days

[tex]Purse \:A: \$6800\\Purse B: \$5368709.12[/tex]

Therefore, Purse B contains more money after 30 days.

Step-by-step explanation:

Purse A

The amount of money($1000) in purse A for each consecutive day grows with $200. The sequence is written as:

1000,1200,1400,...

This is an arithmetic sequence with the first term being $1000 and the common difference $200.

Therefore, for any number of day, n, the amount of money in the purse,

[tex]T_n=1000+200(n-1)[/tex]

Purse B

1 Penny=$0.01

The amount of money(1 Penny) in purse B for each consecutive day doubles. The sequence is written as:

0.01,0.02,0.04,...

This is a geometric sequence with the first term being $0.01 and the common ratio 2.

Therefore, for any number of day, n, the amount of money in  purse B,

[tex]T_n=0.01(2)^{n-1}[/tex]

After a Week(7 days)

[tex]Purse \:A: T_7=1000+200(7-1)=\$2200\\Purse B: T_7=0.01(2)^{7-1}=\$0.64[/tex]

After 2 Weeks(14 days)

[tex]Purse \:A: T_{14}=1000+200(14-1)=\$3600\\Purse B: T_{14}=0.01(2)^{14-1}=\$81.92[/tex]

After 3 Weeks(21 days)

[tex]Purse \:A: T_{21}=1000+200(21-1)=\$5000\\Purse B: T_{21}=0.01(2)^{21-1}=\$10485.76[/tex]

After 30 days

[tex]Purse \:A: T_{30}=1000+200(30-1)=\$6800\\Purse B: T_{30}=0.01(2)^{30-1}=\$5368709.12[/tex]

Final answer:

After calculating daily increases for Purses A and B over several time frames, it's evident that Purse B, which doubles its amount every day, holds a vastly greater sum after 30 days, illustrating the power of compound interest.

Explanation:

Calculating Growth in Purses A and B

Let's start by determining the amount in each purse after one week (7 days) and after two weeks (14 days). Purse A gains $200 more each day, starting with $1,000 on day 1. Purse B's amount doubles every day, beginning with 1 penny on day 1.

For Purse A, we can calculate the total after one week as:

$1,000 + (6 days × $200/day) = $1,000 + $1,200 = $2,200

After two weeks (14 days):

$1,000 + (13 days × $200/day) = $1,000 + $2,600 = $3,600

For Purse B, since the amount doubles each day, we use the power of 2 to represent the growth:

After one week (7 days):

1 penny ×  [tex]2^6[/tex] = 64 pennies (because we don't count the first day)

After two weeks (14 days):

1 penny ×  [tex]2^13[/tex]= 8,192 pennies, or $81.92

After three weeks (21 days) for Purse A we get:

$1,000 + (20 days × $200/day) = $1,000 + $4,000 = $5,000

And for Purse B:

1 penny × [tex]2^{20}[/tex] = 1,048,576 pennies, or $10,485.76

Now, let's see which purse contains more money after 30 days:

Purse A: $1,000 + (29 days × $200/day) = $1,000 + $5,800 = $6,800

Purse B: [tex]1 penny \times 2^{29} = 536,870,912 \ pennies \, \ or\ \$\ 5,368,709.12[/tex]

After 30 days, Purse B contains significantly more money due to the power of compound interest.

A couple plans on having three children. Which of the following represents the sample space for the genders of the three children? To simplify this question, we will use the binary definition of gender, with representing boy and representing girl. A (68B, BBG, BGG, GGG) B.(B,G) C.(BB, BG, GB, GG) D. (BBB, BBG, BGB, GBB, BGG, GBG, GGB, GGG) E. (BG, BG, BG)

Answers

Your answer is E (BG, BG, BG)

A cube has a volume of 10 cm^3. A larger cube has a volume of x cm^3 . Consider the function f(x) =(x-10)cubed. What do the values f(19) and f(14) represent?

Answers

f(19) represents the volume difference of 729 cm^3, and f(14) represents the volume difference of 64 cm^3 between the larger cube and the smaller cube.

The function f(x) = (x-10)^3 represents the volume difference between a larger cube and a smaller cube.

When we calculate f(19), it means we are finding the volume difference when the volume of the larger cube is 19 cm^3. Similarly, when we calculate f(14), it represents the volume difference when the volume of the larger cube is 14 cm^3.

So, f(19) represents the volume difference when the larger cube has a volume of 19 cm^3, and f(14) represents the volume difference when the larger cube has a volume of 14 cm^3.

If we calculate the values:

- f(19) = (19-10)^3 = 9^3 = 729 cm^3

- f(14) = (14-10)^3 = 4^3 = 64 cm^3

Therefore, f(19) represents the volume difference of 729 cm^3, and f(14) represents the volume difference of 64 cm^3 between the larger cube and the smaller cube.

16x+9=8x+46 can someone help?

Answers

Answer:

37/8

Step-by-step explanation:

Subtract 8x from both sides and get 8x+9=46 subtract 9 from both sides and get 8x=37 divide by 8 and get 37/8

Answer:

x=4.625

Step-by-step explanation:

16x+9=8x+46

-8x

8x+9=46

-9

8x=37

/8

x=4.625

What is 10^3 x 10^9 with a single exponent ?

Answers

10^3 x 10^9 = 10^12

Step-by-step explanation:

Given that,

10^3 x 10^9

The bases of the 2 terms are same (10) and the power of the terms are 3 and 9

As the base of the 2 terms are same and the bases are in multiplication form we can add up the powers.

So,

10^3 x 10^9 = 10^(3+9)

= 10^12

Two lines, R and M, are represented by the following equations:
Line R: 2x + 2y = 18
Line M: x + y = 9
Which statement is true about the solution to the set of equations? (4 points)

A.There is no solution.

B.It is (18,9).

C.There are infinitely many solutions.

D.It is (9, 18).

Answers

Do you still need help!!?!?

The answer is C. There are infinitely many solutions.

least to greatest. 26.2, 262%, 2 3/5 (two and three fifths)
in all decimal or percent form please and i need an answer soon please help!!!

Answers

Answer:

Step-by-step explanation:

BACD

Final answer:

The numbers from least to greatest are 2.62 (262%), 2.6 (2 3/5), and 26.2.

Explanation:

To arrange the numbers 26.2, 262%, and 2 3/5 from least to greatest in all decimal or percent forms, we need to convert them into the same form.

First, we know that 262% as a decimal is 2.62. The mixed number 2 3/5 can be converted to a decimal by dividing the numerator by the denominator and adding it to the whole number, resulting in 2 + 0.6 = 2.6.

Now we have the numbers in decimal form: 26.2, 2.62, and 2.6.

To order them from least to greatest:

2.62 (262%)2.6 (2 3/5)26.2

When converting back to percent form, remember to multiply by 100. Thus, 2.62 is already given as 262%, and 2.6 becomes 260%.

What’s the measure of angle C if tan C = 0.5773

Answers

Answer:

C =29.998°

Step-by-step explanation:

To find the measure of angle C if tan C = 0.5773, we will follow the steps below;

tan C = 0.5773

take the tan⁻¹ of both-side of the equation

that is;

 tan⁻¹ tan C =  tan⁻¹0.5773

On the left-hand side of the equation tan and  tan⁻¹ will cancel-out leaving us with just c

C =  tan⁻¹0.5773

C =29.998°

C≈30°

What is the slope of the line that passes through the points (-9, -3) and (1, -3)?
Write your answer in simplest form.

Answers

Answer:

The slope is 0.

Step-by-step explanation:

m= (y2-y1)/(x2-x1).

y2 is -3, y1 is -3.

x2 is 1 and x1 is -9.

m= -3 -(-3)/ 1- (-9)

m= 0/10

m=0

Final answer:

The slope of the line that passes through the points (-9, -3) and (1, -3) is 0 because the y-coordinates of both points are the same and this results in a 'change in y' of 0.

Explanation:

In mathematics, the slope of a line passing through two given points can be calculated by the formula: (y2 - y1) / (x2 - x1). Where y2 and y1 represent the y-coordinates of the two points and x2 and x1 represent the x-coordinates of the two points. However, in this particular case, we see that the y-coordinates of both points (-9, -3) and (1, -3) are the same as -3.

This means our 'change in y', or (y2 - y1), is equal to zero (-3 - -3 = 0). Any fraction with 0 as the numerator (0 divided by any number) is itself equal to 0. Therefore, the slope of the line that passes through the points (-9, -3) and (1, -3) is 0.

Learn more about Slope here:

https://brainly.com/question/34849567

#SPJ3

Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8 centimeters, and the length of A C is 6.9 centimeters.
Which expressions can be used to find m∠BAC? Select three options.

cos−1(StartFraction 6.9 Over 12 EndFraction)
cos−1(StartFraction 9.8 Over 12 EndFraction)
sin−1(StartFraction 6.9 Over 12 EndFraction)
sin−1(StartFraction 9.8 Over 12 EndFraction)
tan−1(StartFraction 6.9 Over 9.8 EndFraction)

Answers

Final answer:

To find measure of angle BAC in a right triangle, we can use the trigonometric functions cos⁻¹(6.9/12), sin⁻¹(6.9/12), and tan⁻¹(6.9/9.8), corresponding to the sides AC and CB with respect to the hypotenuse AB.

Explanation:

To find the measure of angle BAC in triangle ABC where angle ACB is a right angle, we can use the trigonometric ratios involving the sides of the triangle. Given that AB is the hypotenuse, CB is the adjacent side to angle BAC, and AC is the opposite side to angle BAC, we can use the following expressions:

cos⁻¹(⅓6.9/12): This represents the cosine of angle BAC, since cosine is the ratio of the adjacent side to the hypotenuse.sin⁻¹(⅓6.9/12): This represents the sine of angle BAC, since sine is the ratio of the opposite side to the hypotenuse.tan⁻¹(⅓6.9/9.8): This represents the tangent of angle BAC, since tangent is the ratio of the opposite side to the adjacent side.

Using any of these trigonometric functions, we can calculate the measure of angle BAC by inputting the ratios into a calculator that has the capability to compute the inverse trigonometric functions.

The data set represents the total number of pencils each student in a class needs to sharpen.

0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9

Which box plot correctly represents the data?

a
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.

b
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 3.

c
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 4.

d
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 4.

Answers

Answer:

D

Step-by-step explanation:

Vus vi velt  vike vit

The box plot that represents the data, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9, is shown in the diagram attached below. (Option A).

What is a Box Plot?

A box plot is a graphical representation of the five-number summary of a data set.

The five-number summary comprises of: minimum value, maximum value, lower quartile (Q1), median, and upper quartile (Q3).

Find the five-number summary of the data set, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9:

Minimum = 0

Maximum = 9

Median = 3

Q1 = 1

Q3 = 5

Therefore, the box plot that represents the data, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9, is shown in the diagram attached below. (Option A).

Learn more about box plot on::

https://brainly.com/question/16058633

Other Questions
expand and simplify 5(2y+1)^2 -4 How is blood pressure measured?systolic - at restsystolic - heart relaxedsystolic - heart pumpingdiastolic - exercisingdiastolic - heart relaxeddiastolic - heart pumping There are 946 milliliters in a quart. There are 2 pints in a quart. How many milliliters are in 5 pints? Find the approximate perimeter of rectangle FOUR plotted below.Round your final answer to the nearest hundredth.The first to answer correctly will get the brainliest answer Enya Corp. adopted the dollar-value LIFO method on January 1, 2008. Its inventory on that date was $160,000. On December 31, 2008, the inventory at prices existing on that date amounted to $140,000. The price level at January 1, 2008, was 100, and the price level at December 31, 2008, was 112.Instructions(a) Compute the amount of the inventory at December 31, 2008, under the dollar-value LIFO method.(b) On December 31, 2009, the inventory at prices existing on that date was $172,500, and the price level was 115. Compute the inventory on that date under the dollar-value LIFO method. In your homework, you were introduced to a game, called Under-or-Over-Seven. It has many rules. Here is the particular rule that we are going to use for this question: a pair of fair dice is rolled once, and the resulting sum determines whether the player wins or loses his/her bet; the player wins $9 if the result of the roll is exactly equal to 7 and loses $3 otherwise. Compute the expected value of this game (i.e., the expected gain or loss). Demand pull inflation can be started by A. an increase in the price of oil B. a decrease in the quantity of money. C. an increase in government expenditure. D. a decrease in the money price of resources. E. a decrease in net exports 3x + y = 4,9x + 5y = 1find x and y Hey pls answer my simple question. During which of the following processes does a glucose molecule break down into ethanol? Aerobic respiration Alcoholic fermentation Lactic acid fermentation Photosynthesis Find g: 3g + 15 - 12 + 3 - 2g + 4 = 1 Angle KJL measures (7x - 8)o. Angle KML measures (3x + 8)o. Circle N is shown. Angles K J L and K M L intersept arc K L. Angles J K M and J L M intercept arc J M.What is the measure of arc KL?2040 48 96 Anthonia is a senior manager at Buxley Corp., a motorcycle manufacturer. Buxley has entered an equity alliance with Supremo, a moped manufacturer. "Don't worry, Anthonia," her counterpart at Supremo tells her. "I'm going to send you all our guidelines and documentation for manufacturing catalytic converters, and then you'll be all set." What else should Anthonia request from Supremo?A) personnel exchanges to share tacit knowledgeB) a gradual change from an equity alliance to a non-equity alliance to show greater commitmentC) nothing, because the information transfer described is complete and appropriateD) a licensing agreement so that Buxley can exchange codified knowledge with Supremo On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she has assigned the following probability distribution to the number of tubes she will rent on a randomly selected day.(a) Find P(X = 75). (b) Find P(X 75). (c) Find P(X > 50). (d) Find P(X < 100). (e) Which of the probability expressions in parts (a)(d) is a value of the CDF?X 25 50 75 100 TotalP(X) .20 .40 .30 .10 1.00 Which of the following verbs does not have an irregular yo form ending in -go?OOOA. DecirB. TraerC. VenirOD. Querer All cells are not the same because ? How many moles of nitric acid are needed to make 2 liters of a solution of nitric acid in water with a molarity of 1? Required initormation Potential Misstatements in the Revenue Cycle Read the overview below and complete the activities that follow. The revenue cycle is a major cycle for most companies. Accounts receivable, revenue, and other accounts are tested through this cycle. Often there are misstatements found, including errors and/or fraud by the client. CONCEPT REVIEW: It is important in testing any cycle, especially revenue, to realize that misstatements will occur and to try to distinguish between errors and fraud 1. Many instances of misstatement are based on the inappropriate recognition of __________2. One way to avoid misstatement of revenue is to ensure the client has proper ________3. Revenues are deemed to be earned when the company has ____________what it must do to fulfill its obligation 4.Side ___________ can substantially alter the terms of a sale.5. __________ needs to be assured in order to recognize revenue.1.controls,errorsmisstatementrevenuerisk2. cutoff policiesinsurance policiesliability policiesrisk policiessecurity policies3. accomplishedanticipatedauditedconsidereddiscovered4. agreementsauditscompaniesinventoriespolicies5. collectabilitycompletionconfirmationinventoryshipping A plane travels at 3400 miles in 8 hours. How far would it travel in 6 hours? What is the probability that a coin tossed in the air will land heads up?