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san4es73 [151]
3 years ago
10

An eagle 311 feet in the air spots its prey on the ground. The angle of depression to its prey is 15°. What is the distance betw

een the eagle and its prey? Round to the nearest foot.​
Mathematics
1 answer:
Step2247 [10]3 years ago
3 0
I think the answer is 1,161 feet

Sorry if that’s incorrect, but here’s the explanation in case you need it:

The tangent of a triangle is the opposite leg over the adjacent leg. 311 is the opposite leg, and X would be the adjacent leg. So 311 divided by x is equal to tan 15. If we rearrange this to be equal to X, X equals 311 divided by tan 15. Tan 15 is equal to 0.2679, so 311/0.2679 = 1,160.6. That amount rounds up to 1,161, giving you the answer of 1,161 feet.
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A basketball coach kept stats for his team in free throw percentage and steals (among others). At the last game, Erin's free thr
Setler79 [48]

Answer:

Due to the higher z-score, she did better in the free throw category.

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

She did better in the category that she had the higher z-score:

Free-throws:

Her free throw percentage was 79%, which means that X = 79

The team averaged 87% from the free throw line with a standard deviation of 12, which means that \mu = 87, \sigma = 12. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{79 - 87}{12}

Z = -0.67

Steals:

She had 4 steals, which means that X = 4

Averaged 7 steals with a standard deviation of 3, which means that \mu = 7, \sigma = 3. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{4 - 7}{3}

Z = -1

Due to the higher z-score, she did better in the free throw category.

6 0
3 years ago
You drive a car that holds 15 gallons of gasoline. Your car uses 0.03 gallons per mile. Which equation best represents this info
Marina86 [1]
0.03x + 15 y = 0.03x - 15 y = -0.03x + 15 y = -0.03x - 15
5 0
3 years ago
Read 2 more answers
BRAINLIEST for the correct answer!
Vladimir [108]

Answer:

answer is A

Step-by-step explanation:

(3x^{2}+5x+1) (x^{2}−2x+4)

=(3x^{2}+5x+1)(x^{2}+−2x+4)

=(3x^{2})(x^{2})+(3x^{2})(−2x)+(3x^{2})(4)+(5x)(x^{2})+(5x)(−2x)+(5x)(4)+(1)(x^{2})+(1)(−2x)+(1)(4)

=3x^{4}−6x^{3}+12x^{2}+5x^{3}−10x^{2}+20x+x^{2}−2x+4

=3x^{4} − x^{3} + 3x^{2} + 18x +4

4 0
3 years ago
Anyone can help me out on this? :)
Charra [1.4K]

Answer:

the answer is c, science CANNOT answer all questions

6 0
3 years ago
What is 2/5 divided by 1/4
Virty [35]
The answer for 2/5 divided by 1/4 is 0.1
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