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3 years ago

What is the height of the antenna?

Mathematics

1 answer:

ira [324]3 years ago

7 0

Answer:

14 feet.

Step-by-step explanation:

Use the tangent function:

$tan\alpha = \frac{opposite}{adjacent}$

a = length of antenna:

$tan\70 = \frac{a}{15}$

$a = 15tan\70$

a = 14.09538931 ≈ 14

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One number is twelve greater than another number. Twice the larger plus five times the smaller is 38. Find both numbers.

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Step-by-step explanation:

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3 years ago

There are 24 pictures on a roll of film. Adelle had 84 pictures from her trip home. She said that 12 other pictures were spoiled

galina1969 [7]

The answer is 4.

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1 roll of film has 24 pictures. x rolls of film have 96 pictures.
1 : 24 = x : 96
x = 1 * 96 : 24
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3 years ago

If she was vaping every 15 minutes, assuming she was awake from 7 am- 11 pm (16 hours) how many times in a day would she vape?

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Answer:

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Step-by-step explanation:

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2 years ago

What is the exact time t, in years, needed for the balance of an account that earns 5% annual 8. Interest compounded continuousl

Brums [2.3K]

Answer:

It takes 22.52 years for the balance to triple in value.

Step-by-step explanation:

Continuous compounding:

The amount of money earned using continuous compounding is given by the following equation:

$A(t) = A(0)(1+r)^t$

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

Interest rate of 5%.

This means that $r = 0.05$ , and thus:

$A(t) = A(0)(1+r)^t$

$A(t) = A(0)(1+0.05)^t$

$A(t) = A(0)(1.05)^t$

Time for the balance to triple?

This is t for which $A(t) = 3A(0)$ . So

$A(t) = A(0)(1.05)^t$

$3A(0) = A(0)(1.05)^t$

$(1.05)^t = 3$

$\log{(1.05)^t} = \log{3}$

$t\log{1.05} = \log{3}$

$t = \frac{\log{3}}{\log{1.05}}$

$t = 22.52$

It takes 22.52 years for the balance to triple in value.

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3 years ago

12,<br> Is this a discrete?

a_sh-v [17]

Yes it is a discrete

3 0

3 years ago