Stan's lawn mower had ⅛ of a gallon of gasoline in the tank. Stand started mowing and used all of the gasoline. He put 6/10 of a gallon of gasoline in the tank. After he mowed, ¼ of a gallon was left in the tank. What was the total amount of gasoline Stan used? *

Answers

Answer 1

Answer:Stan used 19/40 of a gallon of gasoline.

Step-by-step explanation:

At first, Stan's lawn mower had 1/8 of a gallon of gasoline in the tank. When it got finished, he put 6/10 of a gallon of gasoline in the tank. It means that the number of gallons of gasoline that he has already put in the tank is

1/8 + 6/10 = 29/40 of a gallon.

After he mowed, 1/4 of a gallon was left in the tank. Therefore, the total amount of gasoline Stan used is

29/40 - 1/4 = 19/40 of a gallon

Answer 2

Final answer:

Stan used a total of 0.475 gallons of gasoline for mowing, calculated by adding the initial and added amounts of gasoline and then subtracting what was left after mowing.

Explanation:

To calculate the total amount of gasoline Stan used, we will first need to know the total gasoline added to the mower and then subtract the amount left after mowing.

Firstly, Stan started with ⅛ of a gallon (which is the same as 0.125 gallons) and added ⅔ of a gallon (0.6 gallons) to the tank. To find out how much gas was in the tank after refilling, we add these two amounts together:

0.125 + 0.6 = 0.725 gallons (total gas in the tank after refilling).

Once Stan finished mowing, he had ¼ of a gallon left in the tank. We need to subtract this amount from the total gas in the tank after refilling to find out the amount of gas used:

0.725 - 0.25 = 0.475 gallons (total gas used by Stan while mowing).

Therefore, Stan used a total of 0.475 gallons of gasoline for mowing.


Related Questions

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

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

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

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:

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.

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

HELP TIMED TEST!!!!!!
For what values of x is x2-36=5x true?

-9 and -4
-4 and 9
4 and -9
9 and 4

Answers

Answer:

-4 and 9

Step-by-step explanation:

factored

(x - 9)(x + 4) = 0

with   this  x*x - 5x - 36 = 0

so  x = 9  or  x = -4

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)

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%.

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

PLEASE HELP ME ANSWER BOTH OF THESE QUESTIONS! IT WOULD REALLY HELP THANKS! a. How far away can a person live from a radio station and hear its broadcast if the signal covers a circular area of 40,000 square miles? Write your answer as a whole number.



b. What circular area is covered by the signal if the circumference is 754 miles?

Answers

Answer:

approximately 112.86 away from any direction away from the radio station.

A= 4521.07mi²

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).

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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

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%

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.

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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

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

The teachers of the two classes want to compare the heights of their students. Which statements about the data sets are accurate? Select three options. Because the sets are symmetrical, the mean should be used to compare the data sets. Because the sets do not contain outliers, the MAD should be used to compare the data sets. Because the sets are not symmetrical, the IQR should be used to compare the data sets. Because the sets contain outliers, the median should be used to compare the data sets. The mean and mode cannot be accurately determined based on the type of data display.

Answers

This question is incomplete.

Complete question

The sets of data below show the heights, in inches, of students in two different preschool classes.

A) a box plot titled class 1.

The number line goes from 38 to 49. the whiskers range from 39 to 48, and the box ranges from 40 to 43. a line divides the box at 41.

class 1

B) A box plot titled class 2.

The number line goes from 38 to 49. the whiskers range from 38 to 49, and the box ranges from 39 to 42. a line divides the box at 41.

class 2

The teachers of the two classes want to compare the heights of their students. Which statements about the data sets are accurate? Select three options.

• Because the sets are symmetrical, the mean should be used to compare the data sets.

• Because the sets do not contain outliers, the MAD should be used to compare the data sets.

•Because the sets are not symmetrical, the IQR should be used to compare the data sets.

•Because the sets contain outliers, the median should be used to compare the data sets.

•The mean and mode cannot be accurately determined based on the type of data display.

Answer:

• Because the sets are not symmetrical, the IQR should be used to compare the data sets.

• Because the sets contain outliers, the median should be used to compare the data sets.

• The mean and mode cannot be accurately determined based on the type of data display.

Step-by-step explanation:

In the above question, we can see that a teacher intends to compare the heights of students from two different classes.

Because the data sets to be obtained would contain heights from different classes the results obtained would be non symmetrical.

Hence the best statistical analysis to use to solve for or to compare a set of non symmetrical data is known as either the Median or an Interquartile range.

It is important to note that a non symmetrical data would most likely contain or include the presence of outliers.

Answer:

C, D, E.

Step-by-step explanation:

If your seeing this it means your finnaly doing your 67 missing assignments. I'm proud

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.

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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.

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.

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

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.

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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.

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.

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:

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.

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.

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°

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.

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