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Taya2010 [7]
2 years ago
10

A girl flying a kite lets out 130 feet of string that makes an angle of 52° with the ground. If the string forms a straight line

, how high is the kite above the ground? Hint: Draw a picture (triangle) and label. 80.04 feet 102.44 feet 166.39 feet 164.97 feet

Mathematics
1 answer:
Ket [755]2 years ago
4 0

Answer:

The height of the kite above the ground is 102 .44 feet

Step-by-step explanation:

To find the height of the kite above the ground, we will follow the steps below:

let h represent the height of the kite above the ground

we will use trigonometric ratio to solve

SOH CAH TOA

sinФ = opposite/hypotenuse

cosФ=adjacent / hypotenuse

tanФ=opposite / adjacent

from the diagram below

opposite = h

hypotenuse = 130 feet

Ф = 52°

The best trig ratio to use is sin

sin Ф = opposite / hypotenuse

sin52° = h / 130

cross-multiply

h = 130 sin 52°

h=102.44°

The height of the kite above the ground is 102 .44 feet

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Last year Baron Enterprises had $800 million of sales, and it had $270 million of fixed assets that were used at 65% of capacity
Svetllana [295]

Answer: B. $430.80

Step-by-step explanation:

Given : Last year Baron Enterprises had $800 million of sales.

It had $270 million of fixed assets that were used at 65% (=0.65) of capacity last year.

Now, the used asset = 0.65\times270=\$175.5million

Now, Baron Enterprises had $800 million of sales in $175.5 million of assets , if we use all of $270 million of fixed assets , then the sales will be :-

\dfrac{800}{175.5}\times270=1230.76923077\approx1230.80\text{ million}

Now, the increase in Baron's sales before it is required to increase its fixed assets = \$1230.80-$800=\$430.80\text{ millions}

Hence, the increase in Baron's ( in million ) sales before it is required to increase its fixed assets = $430.80

8 0
3 years ago
2x + y = -2
cupoosta [38]
Answer is A
if x+y=5
y= -x+5
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5 0
2 years ago
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Fiesta28 [93]
2x² + 3x + 1
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8 0
2 years ago
Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively.
TiliK225 [7]

Answer:

d. 200 and 2

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

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Sample size: 81

Standard error: s = \frac{18}{\sqrt{81}} = 2

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3 years ago
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Please answer and use statement reason
masha68 [24]

Answer:

x = 15

Step-by-step explanation:

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Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.

x + 8x + 3x = 180°

12x = 180°

12x/12 = 180/12

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