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tester [92]
3 years ago
12

The shadow of a building is 40 ft. long. The angle between the ground and the line to the sun is 35°. Draw a diagram and find th

e height of the building. 22.9 ft. 28.0 ft. 57.1 ft.

Mathematics
2 answers:
grigory [225]3 years ago
7 0
tan35^o =  \frac{BC}{AB} \ \ \to \ \ BC=AB*tan35^o= 40*0.7002 \approx 28.0 \ \text{ft}

pogonyaev3 years ago
7 0

Answer:

28

Step-by-step explanation:

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The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.2 years, with a standard devia
elena-14-01-66 [18.8K]

Answer:

a. z-score = -1.2

b. The age 23 years old is -1.2 standard deviations below the mean

c. The age is not unusual

Step-by-step explanation:

a. Transformation to z-score

Mathematically;

z-score = (x - μ)/σ

where σ and μ are the standard deviation and the mean respectively.

From the question, x = 23, μ = 27.2 and σ = 3.5

Let’s put these into the equation;

z-score = (23-27.2)/3.5 = -1.2

b. Interpretation of result

The interpretation is that 23 years old is -1.2 standard deviations below the mean

c. Determination

The age is not unusual. This is because any z-value below -2 or above 2 is considered unusual

-1.2 is above -2 and thus it is not unusual

7 0
3 years ago
Jennifer had a 7/8- foot board. She cut off a 1/4 foot piece that was for a project. In feet, how much of the board was left
Tems11 [23]

Answer: There was 5/8 of a foot of board left.

Step-by-step explanation:

Step 1. We need to subtract 1/4 from 7/8. To do this make it where both fractions have the same denominator.

Step 2. The easiest way to do this is to multiply 1/4 by 2.

1/4*2/2=2/8.

Step 3. Now all you got to do is subtract 2/8 from 7/8.

7/8-2/8= 5/8.

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
John find 1/5 of the bar chocolate he bought was already eaten by his brother. He eat 3/4 of what was remaining. Find the portio
larisa86 [58]

Answer:

1/5 is left.

Step-by-step explanation:

Portion remaining after the bar was eaten by his brother = 1 - 1/5 = 4/5.

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=  1/5.

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3 years ago
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