In the diagram below, the circle has a radius of 25 inches. The area of the shaded sector is 125π in^2. Determine and state the measure of angle Q of the shaded sector. Show all your work that leads to the final answer. Please take a CLEAR picture of your work and upload here. Thank you.
Answers
Answer:
72 degrees
Step-by-step explanation:
Area of a sector=(pi*r^2)*(Theta/360)
125*pi=pi*(625)*(theta/360)
(125*360)/625=theta
Theta=72 degrees
The angle theta of the sector of the given circle is 72 degrees.
We have given that,
In the diagram below, the circle has a radius of 25 inches.
The area of the shaded sector is 125π in^2.
What is the formula area of the sector?[tex]Area \ of \ a \ sector=(pi*r^2)*(\Theta/360)[/tex]
Therefore we get,
[tex]125*pi=pi*(625)*(\theta/360)[/tex]
[tex](125*360)/625=\theta[/tex]
[tex]\theta=72 degrees[/tex]
Therefore we get the angle of the sector of the given circle is 72 degrees.
To learn more about the area of sector visit:
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Related Questions
The wholesale price of 6 oz plastic bottles is 6 cents how many plastic bottles can be purchased for $98.41
Answers
Answer:
1640
Step-by-step explanation:
Take the total amount and divide by the amount for one
Make sure to write 6 cent in dollar form (.06)
98.41 / .06
1640.1666
Round down since we need to buy whole bottles
1640
Jim took a loan of R30 000 for 18 months at simple interest rate of 12,5% per year. determine the amount that Jim will pay in 18 months
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Answer:
36151,82923
Step-by-step explanation:
30000* ( 1+12,5%/12)^18
Choose the graph of y = 2 tan x.
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Answer:
The image shows the graph of y = 2 tan x.
I need help with this
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Answer:
D.
Step-by-step explanation:
According to converse of the Pythagorean Theorem, that if the square of the third side (longest side) of a triangle equals the sum of the other two shorter sides, therefore, the triangle formed must be a right triangle.
From the side lengths given, the following satisfies the Pythagorean triple:
5² + 12² = 13².
Therefore, the procedure to use to confirm the converse of the Pythagorean Theorem would be to draw the two shortest side, 5 cm and 12 cm, so that a right angle will be between them. The side measuring 13 cm should therefore fit in to form a right triangle.
Michael drove 210 miles in 3 1/2. Jordan drove 330 miles in 6 hours. Which is an accurate comparison of the rates at which the two people drove?
Answers
Michael = 210 / 3.5 = 60 miles per hour
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Find the medien: 16,12,10,15,7,9,16
Answers
Answer:
12
Step-by-step explanation:
arrange the numbers in ascending order and cross out from either side till you have a middle line
FINAL ANSWER:
12
Step-by-step explanation:
Median is the middle number in the data set.
so first of ... we need to arrange the group of numbers from lower to greater.
16, 12, 10, 15, 7, 9, 16 ⇒ 7, 9, 10, 12, 15, 16, 16
Now that we have arranged the numbers from least to greatest all we need to do is to find the middle number of the data set (data set? they are the group of numbers)
Ok, so what you want to do here is to just count the numbers until you get to the middle number of the data set...
7, 9, 10, 12, 15, 16, 16
the median in the given data set is 12.
I hope this helps you!!! Let me know if my answer is incorrect or not...
HAVE A GREAT DAY AND GOD BLESS YOU ;)!!!
20 slips of paper are put into a bag numbered from 1 to 20. One slip is randomly selected from the bag. We are interested in selecting even numbers. What is the probability of selecting an even number from the bag?
Answers
Answer:
2/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are 10 even numbers from 1 to 20
2 4 6 8 10 12 14 16 18 20
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P(Even) = 10 /20 = 1/2
The value of 33 + 42 = ___.
Numerical Answers Expected!
Answer for Blank 1:
Answers
3^3 + 4^2 = 43
Step-by-step explanation:
Please write the numbers like this 3^3 + 4^2 next time
3^3 + 4^2 =
Solve for 3^3
3^3 = 3 • 3 • 3 = 27
Solve for 4^2
4^2 = 4 • 4 = 16
Add 27 and 16
27 + 16 = 43
[tex] \sf Q) \: {3}^{3} + {4}^{2} = {?}[/tex]
[tex] \sf \to \: {3}^{3} + {4}^{2} [/tex]
[tex] \sf \to \: 27 + 16= 43 [/tex]
Thus, the value is 43.
Use the substitution method to solve the system of equations below.
y = 3x − 2x + 8y = −22
Answers
y=x+8y=-22
y=-22
x+8y=-22
x+8(-22)=-22
x=154
Solution:(154,-22)
Which graph represents y = |xl?
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B
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D
Answers
Answer:
B
Step-by-step explanation:
The equation represented in the question is the parent absolute value question. If you know the different parent functions, then the answer is obvious because absolute value equations always form a V. However, if you do not do this then you can create a table and plugin values. Plugin numbers like 0, -1, and 1 for X and solve for Y. Finally, graph these points and see what graph best fits. If needed you can also plug in more points.
Answer:
B.
Step-by-step explanation:
I got it correct on the warm up
write your answer in simplest radical form
Answers
Which number can be written on the line to make the inequality true?
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b) 3.9
c) 4.1
d) 4.3
Answers
Answer:
[tex]3.7[/tex]
Step-by-step explanation:
[tex]3.9 < 3.7[/tex]
Answer:
answer is A
3.7
Step-by-step explanation:
Using the Time Series Data for the US Nuclear Electric Power Production, calculate the exponential smoothing forecasts for 2005 through 2010 using alpha equals 0.2. Find the forecast error for each time period. If there is n
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Answer:
????????????
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Answers
Answer:
k = - 4
Step-by-step explanation:
The equation representing direct variation is
y = kx ← k is the constant of variation
Given
4x = - y ( multiply both sides by - 1 )
- 4x = y , that is
y = - 4x ← in standard form
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Answers
Answer:
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Step-by-step explanation:
5 + 15 + 12 + 7 = 39
Answer:
39
Step-by-step explanation:
5 + 15 = 20, 12 + 7 = 19, 20 + 19 = 39.
Simplify: 3.5 x 10^-2 + 2.3 x 10^-2
Answers
Given:
The given expression is:
[tex]3.5\times 10^{-2}+2.3\times 10^{-2}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]3.5\times 10^{-2}+2.3\times 10^{-2}[/tex]
It can be written as:
[tex]=(3.5+2.3)\times 10^{-2}[/tex]
[tex]=5.8\times 10^{-2}[/tex]
Therefore, the simplified form of the given expression is [tex]5.8\times 10^{-2}[/tex].
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Answers
Answer:
270 m
Step-by-step explanation:
Add up all the sides
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Answers
Answer:
The sum of the probabilities of all possible outcomes is not 1, which means that a probability distribution is not given.
Step-by-step explanation:
We are given these following probabilities:
[tex]P(X = 0) = 0.6591[/tex]
[tex]P(X = 1) = 0.2872[/tex]
[tex]P(X = 2) = 0.0503[/tex]
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The sum of the probabilities of all possible outcomes is not 1, which means that a probability distribution is not given.
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Question 1 options:
A)
B)
23−−√4
C)
(214)12
D)
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Answers
Answer:
A since A is left blank its A
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Required:
Determine the regression equation. Is the amount spent on fireworks related to attendance at the Fall Festival? Conduct a hypothesis test to determine if there is a problem with autocorrelation.
Answers
Answer:
The complete question and its solution in the attached file please find it.
Step-by-step explanation:
A trough has ends shaped like isosceles triangles, with width 2 m and height 5 m, and the trough is 18 m long. Water is being pumped into the trough at a rate of 8 m3/min. At what rate (in m/min) does the height of the water change when the water is 2 m deep
Answers
9514 1404 393
Answer:
5/9 m/min
Step-by-step explanation:
The depth of the water is 2/5 of the depth of the trough, so the width of the surface will be 2/5 of the width of the trough:
2/5 × 2 m = 4/5 m
Then the surface area of the water is ...
A = LW = (18 m)(4/5 m) = 14.4 m²
The rate of change of height multiplied by the area gives the rate of change of volume:
8 m³/min = (14.4 m²)(h')
h' = (8 m³/min)/(14.4 m²) = 5/9 m/min
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odd numbers more than 100 are infinite.
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Answer:
x ≈ 5.89
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra II
Exponential to Logarithmic: [tex]\displaystyle b^m=x \rightarrow log_bx=m[/tex]Step-by-step explanation:
Step 1: Define
Identify
0.77 = log(x)
Step 2: Solve for x
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Answers
Answer:
D
Step-by-step explanation:
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Answers
Hope your day is going well
The slope form is y2-y1/x2-x1
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Y1=1
X2= -1
X1= 1
Then you plug in those equations 4-1/ -1 -1
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construct an angle that bisect 120°
Answers
Answer:
just make a 120 angle and divide it by 2, 60.
Nadia needs 3/4 cup of orange juice for a punch recipe. She will double the recipe to make
punch for a party. Which statement is true?
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Answer:
she will be using more orange juice
Answer:
she will be using more orange juice
Do number 7 plz finding QR
Answers
Answer:
QR = sqrt(147)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
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QR^2 = 196-49
QR^2 = 147
Taking the square root of each side
QR = sqrt(147)
Find the following images in width and circumference
Answers
Step-by-step explanation:
hey guys how do you put a picture like you did ?
Ms.Griffin has a class of 18 students. She can spend $19 on each student to buy math supplies for each year. She first buys all of her students calculators, which costs a total of 88.02. After buying the calculators, how much does she have left to spend on each student
