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cricket20 [7]
2 years ago
8

Yuki bought a drop–leaf kitchen table. The rectangular part of the table is a 2–by–3–foot rectangle with a semicircle at each en

d, as shown.

Mathematics
1 answer:
shusha [124]2 years ago
8 0

Answer:

(a)\ Area = 13.0695

(b)\ Area = 26.139

Step-by-step explanation:

Given

The attached image

Solving (a): The area (one side up)

This is calculated as:

Area= Area of semicircle + Area of rectangle

So, we have:

Area = \pi r^2 + l *w

Where:

l,w =2,3 --- the rectangle dimension

d = 3 --- the diameter of the semicircle

So, we have:

Area = \pi * (3/2)^2 + 2 * 3

Area = \pi * 2.25 + 6

Area = 2.25\pi + 6

Area = 2.25*3.142 + 6

Area = 13.0695

Solving (b): Area when both leaves are up.

Simply multiply the area in (a) by 2

Area = 2 * 13.0695

Area = 26.139

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Answer:

r=4

Step-by-step explanation:

Let's solve your equation step-by-step.

−4(r+2)=4(2−2r)

Step 1: Simplify both sides of the equation.

−4(r+2)=4(2−2r)

(−4)(r)+(−4)(2)=(4)(2)+(4)(−2r)(Distribute)

−4r+−8=8+−8r

−4r−8=−8r+8

Step 2: Add 8r to both sides.

−4r−8+8r=−8r+8+8r

4r−8=8

Step 3: Add 8 to both sides.

4r−8+8=8+8

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Step 4: Divide both sides by 4.

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Answer:

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2 years ago
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katen-ka-za [31]

Answer:

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Step-by-step explanation:

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Root Pair: 11/4 ± 9/4

Factored: f(x) = 2(x - 5)(x - 0.5)

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