Nicholas has a map that shows a rectangular park with a circular pond. The scale of the map is 1.5 in: 8 yd. On a map, the width of the park is 2.5 inches and the length is 6.25 inches. The pond has a diameter of 2 inches. Find the actual area of the circular pond.Use the pi key. (Answer to the nearest tenth.)

Answers

Answer 1

Answer:

The actual area of the pond is 88.9 yd^2

Step-by-step explanation:

We know that in the map, 1.5 inches are equivalent to 8 yards in the real park.

We know that in the map, the pond has a diameter of 2 inches.

Now we want to find the actual area of the circular pond.

Then the first step is to find the diameter of the real pond.

We know that:

1.5 in = 8 yd.

Now we need to count how many times we have 1.5 inches in the diameter of the pond in the map, this is:

N = 2 in/ 1.5in = 1.33

Then the actual diameter of the pond is 1.33 times 8 yards, this is:

D = 1.33*8yd = 10.64 yd

Now, we know that for a circle of diameter d, the area is:

A = pi*(d/2)^2

where pi = 3.14

Then the area of the pond is:

A = 3.14*(10.64 yd/2)^2 = 88.9 yd^2


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Hopefully this helps!

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The coordinate of the point B ( -10 , -6 ) after the dilation of -1/2 is given by the coordinate B ' ( -5 , -3 )

What is Dilation?

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

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So , on simplifying the equation , we get

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To learn more about dilation click :

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Anyone wanna help me out??

Answers

Answer:

6955 ft

Step-by-step explanation:

Refer to attached. Point J, segment BJ and angle measures added.

Step 1, find BJ

BJ / AB = sin 20° ⇒ BJ = AB sin 20° ⇒ BJ = 600 sin 20° ≈ 205.2 ft

Step 2, find BP

BJ/BP = cos 75° ⇒ BP = BJ / cos 75° ⇒ BP = 205.2/cos 75° ≈ 792.8 ft

Step 3, find PQ

PQ/BP = sin 35° ⇒ PQ = BP sin 35° ⇒ PQ = 792.8 sin 35° ≈ 454.7 ft

Step 4, find the elevation of peak P

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Please help me please help please help me please thank You

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Answer:

05

Step-by-step explanation:

1

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Given

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Step-by-step explanation:

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