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svp [43]
3 years ago
13

A man is standing near the Washington Monument. At a 60° angle of elevation from the ground, the man sees the top of the 555-foo

t monument. Which measurements are accurate based on the scenario? Check all that apply. The distance from the man’s feet to the base of the monument is feet. The distance from the man’s feet to the top of the monument is feet. The distance from the man’s feet to the top of the monument is 1,110 feet. The distance from the man’s feet to the base of the monument is 277.5 feet. The segment representing the monument’s height is the longest segment in the triangle.
Mathematics
2 answers:
makkiz [27]3 years ago
7 0

The correct answers are the first two options

kompoz [17]3 years ago
3 0
The height of the monument is 555 ft and the angle of elevation from the ground is 60°. If d is the distance from a man`s feet to the base of the monument than:
tan 60° = 555 / d
√3 = 555 / d
d = 555 · √3 = 555 · 1.732 = 320.44 ft.
The distance from the man`s feet to the top of the monument is:
320.44 ft · 2 = 640.88 88 ft.
Answer:
    The distance from the man`s feet to the base of the monument is 320.44 ft ( just that is correct ).
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"Why?" in math has various meanings.

Let's solve

5x +1 > 4x + 1

That's easily solved,

5x - 4x > 1 - 1

x > 0

Since x>1 is included in x>0, it's in the solution set to the above inequality, so all such x make the inequality true.

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Which angle number represents the linear pair of FHC?​
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Answer:

  • 5

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The angle number represents the linear pair of ∠FHC is "5"

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2 years ago
Emilio found that a scarecrow that is 8 feet tall casts a shadow 15 feet long. Then Emilio noticed that a lemon tree nearby cast
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16 feet long

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2 years ago
A particular fruit's weights are normally distributed, with a mean of 275 grams and a standard deviation of 19 grams. If you pic
lakkis [162]

Answer:

0.8913 = 89.13% probability that it will weigh between 244 grams and 305 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 275 grams and a standard deviation of 19 grams

This means that \mu = 275, \sigma = 19

What is the probability that it will weigh between 244 grams and 305 grams?

This is the p-value of Z when X = 305 subtracted by the p-value of Z when X = 244.

X = 305

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

Z = \frac{305 - 275}{19}

Z = 1.58

Z = 1.58 has a p-value of 0.9429.

X = 244

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

Z = \frac{244 - 275}{19}

Z = -1.63

Z = -1.63 has a p-value of 0.0516

0.9429 - 0.0516 = 0.8913

0.8913 = 89.13% probability that it will weigh between 244 grams and 305 grams.

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3 years ago
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