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natulia [17]
3 years ago
13

A wooden board is leaning against a house

Mathematics
1 answer:
kobusy [5.1K]3 years ago
6 0

Answer:

24.4 feet

Explanation:

Let x be the length of the wooden board as shown in the diagram.

Using trigonometry ratio, we can write

\cos(35)=\frac{20}{x}

\implies0.819= \frac{20}{x}

cross multiplying we get:

0.819 \times x = 20

Diving through by 0.819, we obtain

x = 24.42

To the nearest tenth, x=24.4 feet.

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a club has 36 members. if each member donates 12 items to an auction, how many items will there be in the auction
Inga [223]

Answer:

432

Step-by-step explanation:

36×12= 432

usjxjdjxh

8 0
3 years ago
A survey was done of 902 students. The mean of their results was 26 and the standard deviation was 4. How many students responde
Natali5045456 [20]

Answer:

11 students out of 902 responded above 35

Step-by-step explanation:

Using z-score we can find what percentage of student will be above 35. Using this percentage we can calculate how many students out of 902 scored above 35.

Mean = u = 26

Standard deviation = s = 4

Target Value = x = 35

Formula for the z score is:

\frac{x-u}{s}

Using the values in this formula, we get:

\frac{35-26}{4} =2.25

Using the z table we can find the percentage of values that would be 2.25 standard deviations above the mean in a normal distribution. Using the z-table we get this value to be 0.0122 or 1.22%

Thus 1.22% of the values will be above 35.

1.22% of 902 is 11 (rounded to nearest whole number)

Thus 11 students out of 902 responded above 35

8 0
4 years ago
2x to the third power - 4y to the second power-10
telo118 [61]
The answer is 2(x to the third power-2y to the second power-5) 
3 0
4 years ago
3 out of 4 students like to eat breakfast at school. What percent of students like to eat breakfast?
melomori [17]

Answer:

The answer is that 75% of the student like to eat breakfast.

6 0
3 years ago
Read 2 more answers
6.<br> Which expression is equivalent to<br> 4x +3 - 3x + (-2)?SHOW WORK
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Answer:

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Step-by-step explanation:

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