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Jobisdone [24]
3 years ago
9

AB is a straight line. What is the value of y?

Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0
AB = 180
5y + 3y + 2y + 2y = 180
12y = 180
y = 15

Check the answer by substituting:

5(15) + 3(15) + 2(15) + 2(15)
75 + 45 + 30 + 30 = 180
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The figures below are based on semicircles and squares. Find the perimeter and the area of each shape. Give your answer as a com
irina1246 [14]

Answer:

Part 1) The area of the figure is A=48\ cm^2

Part 2) The perimeter of the figure is P=4(2+3\pi)\ cm

Step-by-step explanation:

Part 1) Find the area of the figure

we know that

The area of the figure is equal to the area of three squares

so

A=3[4^2]=48\ cm^2

Part 2) Find the perimeter of the figure

we know that

The perimeter of the figure is equal to two times the length side of the square, plus the circumference of six semicircles ( or the circumference of three circles)

Remember that

The circumference of a circle is equal to

C=\pi D

where

D is the diameter of the circle

In this problem

D=4\ cm

so

P=2(4)+3[\pi(4)]=(8+12\pi)\ cm

simplify

P=4(2+3\pi)\ cm

8 0
3 years ago
If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be wort
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Answer:

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Step-by-step explanation:

Our equation is p*(1+x)^{t}, with p being the starting amount, x being the interest rate, and t being the time. Plugging our variables in, we get

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