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pychu [463]
3 years ago
12

The flagpole in Terry's schoolyard is 42 ft tall. On a sunny day, the flagpole casts a shadow 20 ft long. What is the angle of e

levation of the sun at that moment? Round to the nearest tenth of a degree.

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

64.5°

Step-by-step explanation:

angle of elevation is the angle from the point where the shadow ends. this create a right angle triangle. using tan, you can find the angle.

tan theta = opposite/adjacent

angle = tan^-1(42/20)

angle = 64.5°

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What is the measure of angle x? Use what you know about vertical angles and complementary angles to help you.
guajiro [1.7K]

Answer:

the answer should be 133 for the measure of angle x because first of all to find the answer you need to know that vertical and complementarty equals always 180 degrees so you set up this equation x+47=180

x+47-47= 180 - 47

x= 133

if you want to check the work you add 133 plus 47 getting an answer of 180 degrees so 133 is the correct answer and have a great day.

Step-by-step explanation: :DDDDDDD

5 0
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Musya8 [376]

Answer:

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Step-by-step explanation:

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3 years ago
You get GPS units from two manufacturers, A and B. You get 43% of your units from A and 57% of your units from B. In the past, 2
defon

Answer:

0.5015 = 50.15% probability that it came from manufacturer A.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: From manufacturer A.

Probability a unit is defective:

2% of 43%(from manufacturer A)

1.5% of 57%(from manufacturer B). So

P(A) = 0.02*0.43 + 0.015*0.57 = 0.01715

Probability a unit is defective and from manufacturer A:

2% of 43%. So

P(A \cap B) = 0.02*0.43 = 0.0086

What is the probability that it came from manufacturer A?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0086}{0.01715} = 0.5015

0.5015 = 50.15% probability that it came from manufacturer A.

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Number form for 525.048
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How to graph y=-x+4 and the table for it
Soloha48 [4]

Answer:

Here are pictures of the graph and corresponding table. Hope this helps!

Step-by-step explanation:

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3 years ago
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