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elena55 [62]
2 years ago
7

A tower that is 159 feet tall casts a shadow 172 feet long. Find the angle of elevation of the sun to the nearest degree

Mathematics
1 answer:
Sladkaya [172]2 years ago
4 0
Answer in image.

Knowledge point: Trigonometry - tangent concept

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Assume the amount of caffeine extracted from 8 fluid ounces of coffee brewed in a drip machine is normally distributed. On avera
koban [17]

Answer:

2.3%

Step-by-step explanation:

Imagine a standard normal curve with mean at 100 mg.  One standard deviation above the mean would be 110 mg; two standard deviations 120 mg.

Draw a vertical line through x = 120.  To answer this question, we must find the area under the curve to the left of x = 120 and then subtract this result from 1.00:  

Using a calculator with probability distribution functions built in, we find the area to the left of x = 120 as follows:  

normcdf(-100,120,100,10)  = 0.977 => 1.000 - 0.977 = 0.023

The probability of extracting more than 120 mg of caffeine from 8 fluid ounces of coffee brewed in a drip machine is 2.3%

6 0
3 years ago
What is the correct answer of 1/3
serious [3.7K]
The correct answer of 1/3 is the decimal form of it which is 0.3 repeated (you can put a line on top of the 3). If not just leave it as 1/3 it is simplified as a fraction.
8 0
3 years ago
The perimeter of a rectangle is 42 inches. If the width of the rectangle is 9 inches, what is the length?
Leona [35]

Answer:

12 inches

Step-by-step explanation:

let length be L

formula for perimeter of rectangle = 2( length + width )

2( L + 9) = 42

2L + 18 = 42

2L = 24

L = 12 inches

8 0
2 years ago
Read 2 more answers
What is the constant of proportionality in the equation x/y=2/9?​
prisoha [69]

Answer:

x/y=2/9

y = 9/2 x

Step-by-step explanation:

hope it's helpful ❤❤ THANK YOU.

4 0
3 years ago
Find the approximate solution(s) to each of the following equations graphically. Use technology to support your
11Alexandr11 [23.1K]

Answer: x = 3.05

Step-by-step explanation:

The picture shows the graphic solution using technology.

Verifying the approximate solution found on the graph.

x = 3.05

0.5x³ - 4 = 3x + 1

0.5(3.05)³ - 4 = 3(3.05) + 1

0.5*28.373 - 4 = 9.2 + 1

14.2 - 4 = 10.2

10.2 = 10.2 (ok)

3 0
4 years ago
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