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3 years ago

Find the area of the composite shape below.

Mathematics

1 answer:

arlik [135]3 years ago

3 0

Answer: 1106.13 (2 decimal places)

Step-by-step explanation:

To work out the area of this composite shape you would have to put the two semi circles together to form a circle and work out the area of the circle (they have provided the radius which is 11in), then work out the area of the rectangle separately.

The formula for the area of a circle is πr^2 (pi x radius squared).

So when you put the numbers in the formula the area is πx11^2=380.1327111

Then to work out the area of the rectangle you would do base x height.

The height of the rectangle is the same as the diameter of the circle (the diameter is double the radius of a circle) which is 22in.

To find the area of the rectangle you do 22x33=726

So then to find the area of the whole shape you would have to add the area of the circle and the rectangle together.

726+380.1327111=1106.13 (2 decimal places).

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$y = 8x =\ \textgreater \ \frac{y}{x} = 8$

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3 years ago

Read 2 more answers

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3 years ago

Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27,

Tanya [424]

Answer:

A, B and C

Step-by-step explanation:

In the equation: 3y=27x

Making y the subject of the equation, we have:

$y=\frac{27}{3}x\\y=9x$

The constant of proportionality between y and x is 9.

We want to determine which relationships have the same constant of proportionality 9.

Option A

y=9x

The constant of proportionality is 9.

Option B

2y=18x

Divide both sides by 2 to obtain: y=9x

The constant of proportionality is 9.

Option C

x=3, y=1/3

Substitution into y=kx gives:

1/3=3k

k=9

The constant of proportionality is 9.

Option D

x=6, y=2/3

Substitution into y=kx gives:

2/3=6k

k=2/3*6=4

The constant of proportionality is 4.

Option E

When x=2, y=18

Substitution into y=kx gives:

18=2k

k=9

However, when x=4, y=27

Substitution into y=kx gives:

27=4k

k=6.75

This is not a proportional relation since the constant of proportionality is not equal.

The correct options are A, B and C

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3 years ago