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2 years ago

What is the perimeter, to the nearest inch, of the kite?

Mathematics

1 answer:

Lemur [1.5K]2 years ago

7 0

Step-by-step explanation:

In order to calculate the height (distance BC in the diagram) you need to know the distance from point D (the closer of the two measurement points to the kite) to the point directly under the kite, B. Once you know this distance then multiplying this by the tangent of angle b will give you the height.

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A fountain, 3 ft in diameter, sits in the center os a circular duck pond. The pond measures 3 ft from the fountain to its edge.

umka2103 [35]

Answer:

$56.55\ ft^2$

Step-by-step explanation:

We know that the diameter of the fountain is 3 feet and that it is in the center of the pond.

We know that the area of a circumference is:

$\pi(r)^2$

where r is the radius of the circumference.

further

d = 2r

Where d is the diameter of the circumference.

Then the radius $r_1$ of the source is 1.5 ft.

The radius $r_2$ of the pond is 1.5 + 3 = 4.5 ft

Finally the area of the pond is equal to the area of the ring that is shown in the image

$A = \pi(r_2)^2 - \pi (r_1)^2\\\\A = \pi(4.5)^2 - \pi(1.5)^2\\\\A = \pi(4.5^2 - 1.5^2)\\\\A = 18\pi = 56.55\ ft^2$

5 0

2 years ago

5x+12=44 then value of 5x-12=?

KATRIN_1 [288]

Answer:

If 5x+12=44 then value of 5x-12 is 20

Step-by-step explanation:

5x + 12 = 44

The first step, we have to find the value of x

5x + 12 = 44

5x = 44 - 12

5x = 32

x = 32/5

x = 6.4

After that, insert the value of x into 5x - 12

5x - 12 = ...

5 ( 32/5 ) - 12

= 32 - 12

= 20

3 0

3 years ago

During the mayoral election,two debates were held between the canidates. The first debate lasted 1 4/5 hours. The second one las

Andrews [41]

Answer:

$3\frac {6}{25} hrs \ or \ 3 hrs\ 14 mins \ 24 sec$

Step-by-step explanation:

The question calls requires one to get the product of the given time. Since first debate lasted for :

$1\frac {4}{5} \ hrs$

-and the second lasted

$1\frac {4}{5} hrs$ times more than the first then the second took then the first step will involve converting the mixed fractions into improper fraction which will be: