What is the area of this shape can someone please help

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Answer 1

Answer:

Answer 10x8=80+3

Step-by-step explanation:

i.d.k 83?????

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Prove the identity
cos(A+B+C)=cosAcosBcosC-cosAsinBsinC-sinAcosBcosC-sinAsinBcosC

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Hello !

cos (a+b) = cos a cos b - sin a sin b
sin (a+b) = sin a cos b + sin b cos a

cos (a+b+c) = cos (a+(b+c))
cos (a+b+c) = cos a cos (b+c) - sin a sin (b+c)
cos (a+b+c) = cos a (cos b cos c - sin b sin c) - sin a (sin b cos c + sin c cos b)
cos (a+b+c)=cos a cos b cos c - cos a sin b sin c - sin a sin b cos c - sin a cos b sin c

Find the equation of the circle that satisfies the given conditions. Radius 2 and center (4, -7)?

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$The\ equation\ of\ the\ circle:\n\n(x-a)^2+(y-b)^2=r^2\n\nwhere\n\ncenter:(a;\ b)\n\nradius:r$

$Center:(4;-7);\ radius:r=2\n\n(x-4)^2+(y+7)^2=2^2\n\n(x-4)^2+(y+7)^2=4$

7. PQ contains points Rand S such that PR, RS and SQ are respectively three consecutive evenintegers. If PQ is 54, find the length of the middle segment, RS

Answers

The length of the middle segment RS is determined as 18.

How to calculate the middle segment?

Let's assume that the three consecutive even integers are x, x + 2, and x + 4

So, the length of PR (x) + the length of RS (x + 2) + the length of SQ (x + 4) equals the total length of PQ (54).

Mathematically, this can be represented as:

x + (x + 2) + (x + 4) = 54

Now, let's solve for x:

3x + 6 = 54

Subtract 6 from both sides:

73x = 48

Now, divide by 3:

x = 16

So, the first even integer (PR) is 16, the second even integer (RS) is 16 + 2 = 18, and the third even integer (SQ) is 16 + 4 = 20.

Thus, the length of the middle segment RS is 18.

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Answer:

RS = 18

Step-by-step

PR = x

RS = x+2

SQ = x+4

x+(x+2)+(x+4)=54

3x+6=54

3x=48

x=16

PR = 16

RS = 18

SQ = 20

Maisha is using special paint for her artwork.The art supply store chargers $ 1.50 per cup of paint.Maisha needs 2 pints of blue paint, 3 cups of green paint, 1 1/2 quarts of orange paint,and 1/2 cup of yellow paint.How much will she pay?

Answers

Maisha can calculate the total cost by multiplying the total amount of paint by the price per cup, Maisha will pay $71.25 for the paint she needs.

What is multiplication?

Multiplication is an arithmetic operation in mathematics that involves combining two or more quantities to form a product. It is a way of finding the total amount or size when there are multiple equal groups or units of the same size.

Maisha needs to calculate the total cost of the paint she needs to buy for her artwork.

First, she needs to convert the units of paint to cups since the price is given in terms of cups of paint:

2 pints of blue paint = 2 x 2 x 8 = 32 cups of blue paint (1 pint = 2 cups, and 1 cup = 8 ounces)

1 1/2 quarts of orange paint = 1.5 x 4 x 2 = 12 cups of orange paint (1 quart = 4 cups, and 1 cup = 8 ounces)

1/2 cup of yellow paint = 0.5 cups of yellow paint

Now, Maisha can add up the total amount of paint she needs:

32 cups of blue paint

3 cups of green paint

12 cups of orange paint

0.5 cups of yellow paint

The total amount of paint is:

32 + 3 + 12 + 0.5 = 47.5 cups

Finally, Maisha can calculate the total cost by multiplying the total amount of paint by the price per cup:

47.5 x $1.50 = $71.25

Therefore, Maisha will pay $71.25 for the paint she needs.

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In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left? and also what is the area of the part left