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Luda [366]
3 years ago
8

A patio in the shape of a semicircle has a diameter of 21 ft.

Mathematics
1 answer:
nikklg [1K]3 years ago
3 0
The answer is 173 ft²

The area of the patio (A) is half of the area of the circle (A1) with a diameter of 21 ft:
A = A1/2

The area of the circle with radius r is: 
A1 = π * r²
π = 3.14
We do not have the radius, but we know that it is a half of the diameter:
r = 21 ft / 2 = 10.5 ft

A1 = 3.14 * (10.5)² = 346.18 ft²

So, the area of the patio is:
A = A1/2
A = 346.18 ft² / 2
A = 173.09 ft² ≈ 173 ft²
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The table shows how the time it takes a train to travel between two cities depends on its average speed.
Ivahew [28]

Answer:

y=\frac{160}{x}

Step-by-step explanation:

The table shows how the time it takes a train to travel between two cities depends on its average speed.

function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour

y represents the time

and x represents the average speed

WE know distance = speed * times

LEts find the distance using the table

distance = 32* 5= 160

40*4= 160

50*3.2 = 160

Time = distance / speed

times is y , distance is 160  and speed is x

y=\frac{160}{x}

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The ratio of boys to girls in math classes is 5 :7. if there are 60 students in all or her classes, how many are boys
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What may happen if a large number of computer users are attempting to access a Web site at the same time that you are?
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In the figure, △ABC is similar to △DEF. what is m∠1
Nady [450]

Answer:

C. 139°

Step-by-step explanation:

Given:

m<A = 62°

m<B = 77°

Required:

Find m<1

Solution:

Since ∆ABC is similar to ∆DEF, therefore:

<A ≅ <D, which means m<D = 62°

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Therefore, based on exterior angle theorem:

m<1 = m<D + m<E

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