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Nadusha1986 [10]

3 years ago

9

A kite flying in the air has a 78-string attached to it, and the string is pulled taut. The angle of elevation of the kite is 52

°. Find the height of the kite. Round
your answer to the nearest tenth.

1 answer:

Basile [38]3 years ago

5 0

Answer:

sine 52 degrees = height / 78

height = 78 * sine 52

height = 78 * 0.78801

height = 61.46478 feet

rounded to nearest tenth 61.5 feet

Step-by-step explanation:

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3 years ago

Convert 12 and a half of 30

tamaranim1 [39]

Answer:

375

Step-by-step explanation:

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7 0

3 years ago

Simplify by combining like terms -17+2(6x-1)+5

earnstyle [38]

$\huge\boxed{12x-14}$

Start with the original expression.

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Use the Distributive Property — multiply $2$ by both $6x$ and $-1$ .

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5 0

3 years ago

Read 2 more answers

If the local linear approximation of f(x) = 2cos x + e^2x at x = 2 is used to find the approximation for f(2.1), then the % erro

yKpoI14uk [10]

<u>Answer-</u>

The % error of this approximation is 1.64%

<u>Solution-</u>

Here,

$\Rightarrow f(x) = 2\cos x + e^{2x}$

$\Rightarrow f'(x) = -2\sin x + 2e^{2x}$

And,

$\Rightarrow f(2) = 2\cos 2 + e^{4}$

$\Rightarrow f'(2) = -2\sin 2 + 2e^{4}$

Taking (2, f(2)) as a point and slope as, f'(2), the function would be,

$\Rightarrow y-y_1=m(x-x_1)$

$\Rightarrow y-(2\cos 2 + e^{4})=(-2\sin 2 + 2e^{4})(x-2)$

$\Rightarrow y=(-2\sin 2 + 2e^{4})(x-2)+(2\cos 2 + e^{4})$

The value of f(2.1) will be

$\Rightarrow y=(-2\sin 2 + 2e^{4})(2.1-2)+(2\cos 2 + e^{4})$

$\Rightarrow y=(-2\sin 2 + 2e^{4})(0.1)+(2\cos 2 + e^{4})$

$\Rightarrow y=64.5946$

According to given function, f(2.1) will be,

$\Rightarrow f(2.1) = 2\cos 2.1 + e^{2(2.1)}$

$\Rightarrow f(2.1) = 65.6766$

$\therefore \%\ error=\dfrac{65.6766-64.5946}{65.6766}=0.0164=1.64\%$

5 0

3 years ago

What is the answer to 5m= -8 +3m

aalyn [17]

5m = -8 + 3m

2m = -8

m = -4

6 0

3 years ago

Read 2 more answers