Answer:
The area of the sector is [tex]\frac{\pi}{2}\ units^2[/tex]
Step-by-step explanation:
step 1
Find the area of complete circle
[tex]A=\pi r^2[/tex]
we have
[tex]r=3\ units[/tex]
substitute
[tex]A=\pi 3^2\\A=9\pi\ units^2[/tex]
step 2
Find the area of the sector
we know that
The area of complete circle subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector by a central angle of 1/9 pi radians
[tex]\frac{9\pi}{2\pi}=\frac{x}{\frac{1}{9}\pi} \\\\x=9\pi(\frac{1}{9}\pi})/2\pi\\\\x=\frac{\pi}{2}\ units^2[/tex]
Select the statement that can be represented by −10 dollars.
A) Joe found $10 on the sidewalk.
B) Sally withdrew $10 from her checking account.
C) Kyle earned $10 mowing his neighbors yard.
D) Janet deposited $10 into her savings account.
Answer:
B
Step-by-step explanation:
Answer:
B) Sally withdrew $10 from her checking account
Step-by-step explanation:
A, C, and D all describe someone gaining money, therefore they would be positive. B is the only option showing money being taken away, which is why it is -10.
Use the graph below to answer the question. Select all of the zeroes of the function f(x)
Answer:
C.
Step-by-step explanation:
The zeros of the function is or are your x-intercepts. The x-intercept is (2,0), so it is x=2.
PLEASE ANSWER ASAP!!!
WHAT SHOULD 2.33 BE MULTIPLIED BY TO MAKE IT INTO A WHOLE NUMBRR??
Answer:
2.331 = (2.33 × 100)(1 × 100) = 233100. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 233100 is also equal to 233100 when expressed as a mixed number.
Step-by-step explanation:
or mutilpy by 100
Answer:
2.33 * 100 because
2.33*100=233
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Answer:
x^2 + (y – 3)^2 = 36
Step-by-step explanation:
The standard equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2.
If the center lies on the y-axis, then h = 0: (x - 0)^2 + (y - k)^2 = r^2
If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36
So, among the given equations, your
x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).
The equations that represent circles with a diameter of 12 units and a center on the y-axis are x² + (y - 6)² = 36 and x² + (y + 6)² = 36.
Explanation:The equations that represent circles with a diameter of 12 units and a center on the y-axis are:
x² + (y - 6)² = 36x² + (y + 6)² = 36To determine if an equation represents a circle, we need to check if the equation follows the standard form of a circle equation, which is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius. In this case, since the center lies on the y-axis, the x-coordinate of the center is 0, and we only need to consider the y-coordinate.
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the highest point in argentina is 6960 meters above sea level. the lowest point is 105 meters below sea level. What is the difference in meters between the highest and lowest elevation points?
Answer:
Step-by-step explanation:
It will be 6855 because it’s telling you the difference of them so you subtract to see
The difference in meters between the highest and lowest elevation points 7065 meters.
What are integers?Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043. A set of integers, which is represented as Z, includes:
Positive Numbers: A number is positive if it is greater than zero. Example: 1, 2, 3 . . .
Negative Numbers: A number is negative if it is less than zero. Example: -1, -2, -3 . . .
Zero is defined as neither a negative number nor a positive number. It is a whole number.
Z = {... -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, ...}
Given:
highest point= 6960 meters above sea level.
lowest point = 105 meters below sea level.
Considering integers
highest points= +6960
lowest point= -105
So, difference in meters between the highest and lowest elevation points
= 6960 - (-105)
=6960+ 105
= 7065 meters
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A race begins with 2 1/2 miles through town, continues through the park for 2 1/3 miles, and finishes at the track after the last 1/6 mile. A volunteer is stationed every quarter mile and at the finish line to pass out cups of water and cheer on the runners. How many volunteers are needed?
What is the value of the expression-7 3/4 + 3 1/2
Answer:
45/4 or 11.25 or 11 1/4
Step-by-step explanation:
Answer:
Step-by-step explanation:-15/4
-15/4
The amount of money that Li spends on a video game depends on how many game he purchases. if Li has at most $90 to spend on games for his Xbox 360 and the games cost $22.50 each, what is the domain of this function?
_______________________
Answer:
Hence Domain set for function is {0,1,2,3,4}
Step-by-step explanation:
Given:
Total amount spend =90
22.5 $ each game cost
To Find:
What is domain for the function
Solution:
Now domain mean all possible value for input so that it gives real output as per condition mentioned
So Our condition is that li spends money on video game depends on how many game he purchases
so total money spent on game is output
i.e in order to get that much amount of games.
If he spends 22.5 $ for each game and Total amount spent is 90
So 90/22.5=4 Now amount of game he would purchase will be 4
i.e range for lil is 0 to 4 wiht 90 $ in hand
So Domain set will be ranging from{0,1,2,3,4}
What is the volume of metal in the pipe? Use 3.14 for a and
round the answer to the nearest tenth of a cubic millimeter.
O 282.6 mm
O 271.3 mm
0553.9 mm
O 836.5 mm
Answer:271.3mm^3
Step-by-step explanation:
What is the value of (Negative three-fourths) Superscript negative 4?
The value of (-3/4[tex])^{-4[/tex] is 256/81.
What is Exponents and Power?Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power.
We have to find the value of (-3/4[tex])^{-4[/tex]
First of all make the power positive by reciprocate the number
= (-3/4[tex])^{-4[/tex]
= (-4/ 3 [tex])^4[/tex]
Now, expanding the number we get
= (-4 x -4 x -4 x -4) / (3 x 3 x 3 x 3)
= 256 / 81
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Joanne buys a rectangular rug with an area of 35/4 square meters. The length of the rug is 7/2 meters. What is the with, in meters, of the rug? Answer in fraction pls!!
Answer: 5/2 meters
Step-by-step explanation:
You can find the area of a rectangle using this equation:
A = bh, where b is the base (length) and h is the height.
So, your rectangle is:
[tex]\frac{35}{4} = \frac{7}{2}h[/tex]
You can then divide both sides by 7/2 to find h.
[tex]\frac{\frac{35}{4}}{\frac{7}{2}}[/tex]
To divide, you can flip the fraction in the denominator to multiply:
[tex]\frac{35}{4}*\frac{2}{7}[/tex]
So, your width is 70/28. You can divide both sides by 14 to get 5/2.
The deli made a 6 foot hero for the party. They need to cut it into 1 /3 inch slices. How many slices
will they get?
Answer:
6 ft = 72 inches
72*1/3=24
24
They will get 24 slices if they cut the 6 foot hero into 1/3 inch slices.
What is a fraction?A fraction is a numerical figure that represents a portion of a total.
Total length of the hero = 6 foot
1 foot = 12 inches
Total length of hero = 72 inches
Length of the slice cut = 1/3 inch
Total no. of slices = (1/3 * 72) = 24 slices
Hence the total no. of slices they will get is 24.
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Takuya's parents gave him $100dollar as a birthday gift. Since he loves board games, he spent $20dollar out of his present on board games at the end of each month until his money ran out. Let f(n) be the amount of money that remained from Takuya's present during month n, where n=1 represents the month he received his present.
f is a sequence. What kind of sequence is it?
p.s" tell me if it is a geometric sequence or arithmetic and find the explicit formula
The amount of money that remained from Takuya's presence during month n is expressed as an=120-20n and the sequence is an arithmetic sequence.
What is an arithmetic sequence?The arithmetic sequence is the sequence where the common difference remains constant between any two successive terms. Let us recall what is a sequence. A sequence is a collection of numbers that follow a pattern. The general form of an arithmetic sequence is an=a+(n-1)d.
If Takuya's parents gave him $100 as a birthday gift and she spent $20 each month on board games until his money ran out, this means he keeps spending $20 every month and his money keeps reducing by the same amount each month until his money ran out, the following can be inferred;
initial amount = $100
If he spends $20 each month,
Balance at the end of 1st month = $100-$20 = $80
Balance at the end of 2nd month = $80-$20 = $60
Balance at the end of 3rd month = $60-$20 = $40 and so on
Since the amount keeps reducing by the same value i.e $20, then the sequence formed is an arithmetic sequence.
a is the first term of the sequence = 100
d is the common difference = 80-100 = 60-80 = 40-60 = -20
n is the number of terms
Substituting the given values in the formula we have; an=100+(n-1)(-20)
⇒an=100+(-20n+20)
⇒an=100-20n+20
⇒an=120-20n
Therefore, the amount of money that remained from Takuya's presence during month n is expressed as an=120-20n and the sequence is an arithmetic sequence.
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1) Option (A) arithmetic sequence.
2) The recursive formula is f(n) = f(n-1) - 20 with an initial condition of f(1) = 100.
3) The explicit formula is f(n) = 120 - 20n.
Let's address Takuya's birthday gift scenario step by step.
1. Type of Sequence
The sequence described is an arithmetic sequence because the same amount of money, $20, is spent each month, leading to a consistent decrease in the balance.
2. Recursive Formula
Initially, he had $100. So,
f(1) = 100
Given the monthly spending of $20, the recursive formula is: f(n) = f(n-1) - 20
3. Explicit Formula
To find the explicit formula of the arithmetic sequence, we use the initial value and the common difference:
f(n) = 100 - 20(n-1)
Simplifying gives us:
f(n) = 120 - 20n
Thus, the balance remaining after n months can be calculated using this explicit formula.
Complete question:
Takuya's parents gave him $100dollar as a birthday gift. Since he loves board games, he spent $ 20 dollars out of his present on board games at the end of each month until his money ran out. Let f(n) be the amount of money that remained from Takuya's present during month n, where n=1 represents the month he received his present.
1) f is a sequence. What kind of sequence is it?
Choose 1 answer:
A ) Arithmetic sequence
B) Geometric sequence
2) Complete the recursive formula for f(n).
f(1) = □
f(n) = □
3) Find the explicit formula.
Leona saved $102.50 to buy a computer that is on sale. How much more money does she need to save before she can buy the computer?
1.Total cost of the computer: Let's represent the original price as $x. After an 80% sale, it's 0.8× x.
2. Amount Leona saved: $102.50.
3. Remaining amount needed: Total cost - Amount saved = 0.8 × x - $102.50.
So, Leona needs $102.50 more to afford the computer after her savings.
let's break it down step by step:
1. Find the total cost of the computer: Let's say the original price of the computer is $x, and it's currently on sale. Since Leona saved $102.50, this means the amount she has saved is a part of the total cost of the computer.
2.Calculate the remaining amount needed: We subtract the amount Leona saved from the total cost of the computer to find out how much more money she needs to save.
So, let's go through these steps:
1. Total cost of the computer: Let's represent the original price of the computer as $x. Since the computer is on sale, let's say it's now priced at 80% of its original price.
So, the total cost of the computer after the sale = 0.8 ×x.
2. Amount Leona saved = $102.50.
3. Remaining amount needed = Total cost of the computer - Amount Leona saved.
Let's perform the calculation
Total cost of the computer = 0.8 × x
Amount Leona saved = $102.50
Remaining amount needed = Total cost of the computer - Amount Leona = 0.8 × x - $102.50
So, Leona needs to save $102.50 more to buy the computer.
PLEASE HELPPP >>>>> There are twenty classes at Northwestern Middle School and twenty classes at Southeastern Middle School. The number of students in each class at each school is shown in the dot plots below.
Number of Students in Each Class at Northeastern Middle School
A dot plot. A number line going from 20 to 29 labeled Number of Students. There are 3 dots above 20, 5 above 21, 7 above 22, 4 above 23, 1 above 24, and 0 above 25, 26, 27, 28, and 29.
Number of Students in Each Class at Southeastern Middle School
A dot plot. A number line going from 20 to 29 labeled Number of Students. There is 1 dot above 20, 2 above 21, 2 above 22, 4 above 23, 3 above 24, 2 above 25, 2 above 26, 2 above 27, 1 above 28, and 1 above 29.
Michela says that the modes of the two data are the same so the median and mean must also be the same. What is Michela’s error?
A. The modes are not the same.
B. The means and medians are not the same.
C. Only the modes and the medians are the same.
D. Only the modes and the means are the same.
Answer:
the answer above is incorrect im sorry i dont know the answer i wish i could help more god bless have a wonderful day
Step-by-step explanation:
i need the answer asap
Given:
[tex]\angle A=5 x-18^{\circ}[/tex]
[tex]\angle B=3 x+42^{\circ}[/tex]
To find:
The value of x and measure of angle A
Solution:
Alternate interior angle theorem:
If two parallel lines cut by a transversal, then the alternate interior angles are congruent.
⇒ m∠A = m∠B
[tex]5x-18^\circ=3x+42^\circ[/tex]
Add 18° on both sides.
[tex]5x-18^\circ+18^\circ=3x+42^\circ+18^\circ[/tex]
[tex]5x=3x+60^\circ[/tex]
Subtract 3x from both sides.
[tex]5x-3x=3x+60^\circ-3x[/tex]
[tex]2x=60^\circ[/tex]
Divide by 2 on both sides.
⇒ x = 30°
Substitute x = 30° in ∠A.
m∠A = 5x - 18°
= 5(30°) - 18°
= 150° - 18°
= 132°
The measure of ∠A is 132°.
Ase the points (-1,1) and (1, -1) on the graph of y = 2x -3
Step-by-step explanation:
[tex]y = 2x - 3 \\ plug \: x = - 1 \\ y = 2( - 1) - 3 = - 2 - 3 = - 5 \neq1 \\ hence \: ( - 1, \: 1) \: does \: not \: lie \: on \: the \: \\ graph \: of \: y = 2x - 3. \\ \\ y = 2x - 3 \\ plug \: x = 1 \\ y = 2 \times 1- 3 = 2 - 3 = - 1 \\ hence \: ( - 1, \: 1) \: lie \: on \: the \: graph \: of \: \\ y = 2x - 3. \\ \\ [/tex]
16,000 feet = how many miles and how many feet
Answer:
3.03 miles 160 feet
Step-by-step explanation:
Answer:
3 miles and 3 feetish
A sandwich shop offers two types of breads and 5 types of meat. How many sandwiches that are made of one type of bread and one type of meat are possible
Math math help very urgent please Q5 and Q6
Answer: 10
Step-by-step explanation:
Answer: the answer is 10
Need help ASAP- Due tonight
Answer:
10 ^(R-15)/3 -2= a
Step-by-step explanation:
R = 3 log (a+2) +15
Subtract 15 from each side
R-15 = 3 log (a+2) +15-15
R-15 = 3 log (a+2)
Divide each side by 3
(R-15)/3 = 3/3 log (a+2)
(R-15)/3 = log (a+2)
The opposite of log is to raise each side to the power of 10
10 ^(R-15)/3 = 10 ^ log (a+2)
10 ^(R-15)/3 = (a+2)
Subtract 2 from each side
10 ^(R-15)/3 -2= (a+2-2)
10 ^(R-15)/3 -2= a
Answer:
10 ^(R-15)/3 -2= a
Step-by-step explanation:
i answered this on edge
3. Use an inequality symbol (<, >, 2, =) to compare -26_54
OOOO
O A.<
O B. =
O c.
O D.>
It would be A or < since 54 is positive and -26 isn't, that makes 54 greater than -26.
madison has a budget of $1,483 to spend this month. If she wants to split her money evenly over 4 weeks, how much can she spend each week
Answer:
370.75
Step-by-step explanation:
all you need to do is divide the original amount by 4
Final answer:
Madison can spend $370.75 each week if she divides her $1,483 monthly budget evenly over 4 weeks.
Explanation:
To find out how much Madison can spend each week, we divide her total monthly budget by the number of weeks in a month. Madison has a budget of $1,483 to spend this month. Since she wants to split her money evenly over 4 weeks, we perform the following calculation:
Total monthly budget: $1,483
Number of weeks in a month: 4
We divide the total budget by the number of weeks to find the weekly budget:
Weekly budget = Total monthly budget ÷ Number of weeks
Weekly budget = $1,483 ÷ 4
Weekly budget = $370.75
Therefore, Madison can spend $370.75 each week.
The area of a rectangular rug is given by the trinomial r^2-4r-21. What are the possible dimensions of the rug?
Answer:
There are two possible values for r (area): r =-7 or r=3
Step-by-step explanation:
Given the rectangular rug area is:
[tex]r^{2} -4r -21[/tex]
We have to convert the above equation into factored form.
So two numbers whose product is -21r² and sum is -4r
<=> [tex]r^{2} -4r -21[/tex]
= [tex]r^{2} -7r + 3r -21[/tex]
= r (r -7) + 3(r -7)
= (r-7)(r+3)
We set [tex]r^{2} -4r -21[/tex] = 0
<=> (r-7)(r+3) = 0
<=> (r-7) = 0 or (r+3) = 0
<=> r =-7 or r=3
So, there are two possible values for r (area): r =-7 or r=3
Final answer:
The possible dimensions of the rectangular rug with the given area trinomial r²-4r-21 are 7 by 3 or 3 by 7.
Explanation:
The possible dimensions of the rectangular rug with area given by the trinomial r²-4r-21 can be found by factoring the trinomial.
Factoring r²-4r-21 results in (r-7)(r+3). Therefore, the dimensions could be 7 by 3 or 3 by 7.
please help PLEASE
Which equations are equal to this equation? 14(8x + 56) = 20
Answer:
x = - 191/28
Step-by-step explanation:
14 (8x + 56) = 20
112x + 784 = 20
112x = 20 - 784
112x = - 764
x = - 764/112
x = - 191/28
Answer:
Here are a few equivalent equations:
112x + 784 = 20
112x = -764
x = -6.82
Step-by-step explanation:
14(8x + 56) = 20
Multiply
112x + 784 = 20
Subtract 784 from both sides of the equation
112x = -764
x = -6.82
Hope this was useful to you!
Which is the equation of a line with a slope of -1/3 and a yintercept at (0, 1)?
Graph the function y =13 6x
Answer:
the graph that's got long lines in the top right and bottom left
2x + 5
Find the val
3x+15
Answer:
Step 1: Find the x
2x + 5: Solve
[tex]2x + 5 - 5 = 0 - 5[/tex]
[tex]2x / 2 = -5 / 2[/tex]
[tex]x = -5/2[/tex]
3x + 15: Solve
[tex]3x + 15 - 15 = 0 - 15[/tex]
[tex]3x / 3 = -15 / 3[/tex]
[tex]x = -5[/tex]
Ángel won 84% of the skating competitions he entered last years. if Ángel entered 250 competitions ,how many did he win?
Answer:
210
Step-by-step explanation:
multipy the percent of the won skating competitions by the total amout of competions to get the result of how mant he won. 84% x 250 competitions= 210 competitions won!
if 8 people share a half pound of pasta how much would each get
Answer: 1/16
Do Keep Change Flip (KCF)
Keep: 1/2
Change: ÷ into ×
Flip: 8/1 into 1/8
Your New Problem Should Be: 1/2×1/8
Multiply
1/2 × 1/8 = 1/16
The amount of pasta each would get is 1/16
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
Do Keep Change Flip (KCF)
Keep: 1/2
Change: ÷ into ×
Flip:
8/1 into 1/8
= 1/2×1/8
Multiply,
1/2 × 1/8 = 1/16
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