The area of the shaded sector is 5 pi square meters. What is the area of the entire circle? Express your answer in terms of Pi.

A circle. The shaded section has an angle measure of 100 degrees.

Recall that StartFraction Area of sector over area of circle EndFraction = StartFraction n degrees over 360 degrees EndFraction.

A) 12 pi
B) 14 pi
C) 18 pi
D) 20 pi

Answer:

2y + 10 / 5

Step-by-step explanation:

Quotient tells you you're dividing. Sum of 10 means add that to whatever else they say. Twice y = 2y.

Please lmk if you have questions.

Answer: Gina and Rhonda work for different real estate agencies. Gina earns a monthly salary of $5,000 plus a 6% commission on her sales. Rhonda earns a monthly salary of $6,500 plus a 4% commission on her sales. How much must each sell to earn the same amount in a month?

Step-by-step explanation:

$5,000 + 6% + $6,500 + 4% = 11500.1 or 11500

Answer:

1.33333 hours

Step-by-step explanation:

Given :

Time taken by Libby = 2 hours

Time taken by Ethan = 4 hours

rate = 1 / time taken

Libby's rate = 1 /2

Ethan's rate = 1/4

Combined rate = Libby's rate + Ethan's rate

Combined rate = 1/2 + 1/4 = 3/4

Time taken = 1 / combined rate

Time taken = 1 / (3/4)

Time taken = 4 /3

Time taken = 1.33333 hours

Answer:

10a-3b is your answer

Step-by-step explanation:

7a - 3(b - a)

7a-3b+3a

10a-3b

Answer:

By substituting the values of A, C, and D the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

Step-by-step explanation:

From the given information, we have;

The vertical stretch of the sine function = 3 × The parent function

∴ A = 3

Given that the horizontal shift left = π/2 units, (from an online source with similar question)

The vertical shift down = 4 units

The given function, g is g(x) = A·sin(x + C) + D

Where;

A = The amplitude = The maximum displacement from the rest or equilibrium position = 3

C = The horizontal shift = -π/2 (The negative sign is for the shifting to the left)

D = The vertical shift = -4 (The negative sign is for a shift in the downward direction)

Therefore, the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

Answer:

g(x) = 3·sin(x + π/2) - 4

Step-by-step explanation:

shifted left, it will be positive inside the parentheses

Answer:

9√2

Step-by-step explanation:

To do this, we need to use the Pythagoras' Theorem. Which is a^2+b^2=c^2

In this case, we need to solve for C. So, we do 9^2 (A) +9^2 (B), assuming a and b are the same. So we end up with 81+81=c^2. Now, we find the square root of 162. Around 13 or 9√2

Answer:

12

Step-by-step explanation:

To determine the number of discs, divide the area of the metal sheet by the area of the discs

The metal sheets are in the shape of a rectangle, thus the area of a rectangle would be used to determine the area of the sheet

Area of a rectangle = length x breadth

56 x 33 = 1848 cm^2

The disc is in the shape of a circle.

area of a circle = πr²

π = 3.14

r = radius

3.14 x 7² = 153.86 cm²

Number of discs = 1848 /153.86 = 12

Answer:

1. (-125 a - 5.75) x + b c (605 x - 550 x^2) + 10.75

2. -125 a x + x (-550 b c x + 605 b c - 5.75) + 10.75

3. 0.25 (-500 a x - 220 b c (10 x - 11) x - 23 x + 43)

Step-by-step explanation:

Answer:

45 and 13…......

Step-by-step explanation:

devide

Answer:

17x

Step-by-step explanation:

so first 2x is 2 x x = 2x

then +10 =12x then 5 + x = 5x so 5x + 12x = 17x

Answer:

Answer:

15.3125

Step-by-step explanation:

i gotchu

Answer:

IT's d!!!!!

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Answer:

20 is the greatest common denominator. You can find this by listing the factors of each number. The highest number that can fit into both individual numbers is the common denominator. Since 40 is just 20 doubled, and 20 is just 20 once, it fits into both numbers and is also the highest number that can fit.

Answer:

3 bagel recipe and 2 doughnut recipes are needed

Step-by-step explanation:

Given the expression

3d + 5b = 21 .. 1

d + b = 5 .... 2

We can use the expression to look for the amount of doughnut recipe and bagel recipe needed by solving the equations simultaneously

Multiply equation 1 by 1 and 2 by 3 to have;

3d + 5b = 21 .. 3

3d + 3b = 15 .... 4

Subtract 3 from 4

5b - 3b = 21 - 15

2b = 6

b = 6/2

b = 3

Substitute b = 3 into equation 2;

From 2,

d = b = 5

d + 3 = 5

d = 5 - 3

d = 2

Hence 3 bagel recipe and 2 doughnut recipes are needed

Answer:

12

Step-by-step explanation:

1/5 mint = 6

30 - 6 = 24

Half of 24 is 12

12 is chocolate

so 12 must be vanilla

Answer:

3, 1/2

Step-by-step explanation:

x + 2y = 4

2x - 2y = 5

_______________ +

2x + x + 2y + (-2y) = 4 + 5

3x + 0 = 9

3x = 9

x = 9/3

x = 3

if you want to find the value of y, you just have to choose one of the equation. I will choose x + 2y = 4, even if you choose 2x - 2y = 5 the result remains same

x + 2y = 4

3 + 2y = 4

2y = 4 - 3

y = 1/2

x, y = 3, 1/2

i'm sorry, i'm not good at english ^^

Answer: 96 oz

Step-by-step explanation:

Answer:

7/17

Step-by-step explanation:

you add the number of students which is 34. Then you take the number of boys and put it over 34 which would be 14/34. when you reduce it the answer will be 7/17.

let me know if this helps!

Answer:

164

Step-by-step explanation:

15(5)

2(7)

15(5)

add em up

75 plus 14 plus 75

Answer:

i) a) 4 lines

b) 1 line

c) 3 line

d) 2 line

ii) don't know

Answer:

A & C

Step-by-step explanation:

If you substitute the first coordinate (which is the x coordinate) for x in the function and set it equal to the y, options A and C should satisfy the function.

Answer:

What do you need help with?

What doth thee needeth help with?

您需要什么？

Answer: B - one who cannot decide between two sides, as in war or argument

Step-by-step explanation:

Answer:

w=8

Step-by-step explanation:

[tex]72=7w+2w\\72=9w\\\frac{72}{9} =w\\w=8[/tex]

proof:

[tex]72=7(w)+2(w)\\72=7(8)+2(8)\\72=56+16\\72=72[/tex]

Answer:

Simplest-9w=72, w=8

Step-by-step explanation:

7w+2w=9w

72/9=8

w=8

Answer:

I think the answer is 49in^2