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Mnenie [13.5K]
2 years ago
5

La la laaaaa don't answer just for the points -_-

Mathematics
2 answers:
dem82 [27]2 years ago
7 0
<h3>given:</h3>

d = 7 \: ft

<h3>to find:</h3>

the circumference of the circle.

<h3>solution:</h3>

c = \pi \: d

3.14 \times 7

= 21.98 \: ft

<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>circumference</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>circle</u><u> </u><u>is</u><u> </u><u>21.98</u><u> </u><u>feet</u><u>.</u>

<u>answer</u><u>=</u><u> </u><u>option</u><u> </u><u>4</u>

Amiraneli [1.4K]2 years ago
6 0

Answer:

\sf C=21.99~ft.

__________

\sf Steps

  • \sf Given~the~diameter~is~7~ft...
  • \sf We~know~we~must~use~diameter-to-circumference~formula

         \sf Formula:  \pi d = \pi  * (diameter) = [Circumference]

__________

\sf Solve

\pi * 7 = 21.99~ft.

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The angle of elevation to the top of a water tower from point A on the ground is 19.9°. From point B, 50.0 feet closer to the to
zepelin [54]

Answer:

Answer in terms of a trigonometric function :

h = \frac{20tan(19.9)}{0.4-tan(19.9)}

Answer in figures

h = 190.5 feet

Step-by-step explanation:

Consider the sketch attached below to better understand the problem.

Let x be the distance between point B and the base of the water tower.

tan (19.9)=\frac{h}{50+x} ---------------equation 1\\

tan (21.8)=\frac{h}{x}----------------equation 2

From equation 2,

x =\frac{h}{tan21.8}=\frac{h}{0.4}

substituting the value of x into equation 1, we get

tan (19.9)=\frac{h}{50+(\frac{h}{0.4} )}

tan 19.9=h\times \frac{0.4}{20+h}

cross multiplying,

20\times tan(19.9) +htan(19.9)=0.4h

20tan(19.9)= h(0.4-tan(19.9))

h= \frac{20tan (19.9)}{0.4-tan (19.9)}

The height of the tower is h= \frac{20tan (19.9)}{0.4-tan (19.9)} in terms of the trig function "Tan"

The equation can simply be evaluated to get the answer in figures since the angles are given in the question

5 0
3 years ago
A trail around a river is 3 1/4 miles long. What is the length, in feet, of the trail?
bezimeni [28]

Answer: 17160 feet

Step-by-step explanation:

We know that 5280 feet = 1 mile

So all we have to do is multiply 3 1/4 by 5280

Let's split the 3 and 1/4 up to make the multiplication easier

3×5280=15840

\frac{1}{4}×5280=\frac{5280}{4} =1320

Now add them together

15840+1320=17160

4 0
2 years ago
The function f(x)=58(1.6)x represents the possible bird population in a park x years from now. Each year, the expected number of
-BARSIC- [3]

Answer:

  1.6 times   or   60% more than

Step-by-step explanation:

The question seems to be asking about the growth factor in the given exponential function.

<h3>Exponential function</h3>

A generic exponential function will have the form ...

  quantity = (initial value) × (growth factor)^(number of intervals)

Comparing this form to the given formula ...

  f(x) = 58 × 1.6^x

we see the "growth factor" is 1.6. This is the multiplier from one interval (year) to the next.

Each year the expected number of birds is <u><em>1.6 times</em></u> the number the year before.

__

Additional comment

A <em>growth factor</em> is sometimes expressed in terms of a <em>growth rate</em>, usually a percentage.

  growth factor = 1 + growth rate

  1.6 = 1 + 0.60 = 1 + 60%

The growth rate of this bird population is 60% per year. Each year, the population is <u>60% more than</u> the year before.

3 0
2 years ago
What is the quotient of 25.95 divided by 50.25? *
Ainat [17]

Answer:

Quotient: 2

Remainder: 0

50 = 25 × 2 + 0

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%286.52%20%5Ctimes%20%7B10%7D%5E%7B11%7D%20%29%2B%20%288.08%20%5Ctimes%20%20%7B10%7D%5E%7B11%7
andre [41]

Answer:

1460000000000

Step-by-step explanation:


7 0
3 years ago
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