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WARRIOR [948]
3 years ago
6

A ladder is leaning against a vertical wall. The distance from the top of the ladder to the base of the wall is 17 feet. The dis

tance from the base of the wall to the bottom of the ladder is 7 feet. What is the length of theladder (nearest tenth)?
Mathematics
1 answer:
Gennadij [26K]3 years ago
3 0

Answer:

18.4 feet

Step-by-step explanation:

-use the formula C^2 = A^2 + B^2 for a right triangle, which is made by the ladder and the wall.

-let the ladder be C, the wall be a, the base to the bottom be b.

-substitude into the equation, which will leave us with:

C^2 = 17^2 + 7^2

C^2 = 289 + 49

C^2 = 338

C = square root of 338, which is 18.4 feet!

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Step-by-step explanation

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2 years ago
Find an angle between 0 and 360 degrees that is coterminal with 232
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Step-by-step explanation:

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3 years ago
What is -3/4 + (-3/14) Give your answer as a reduced fraction
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Answer:

- \frac{27}{28}

Step-by-step explanation:

hope this was the answer you were looking for.

4 0
3 years ago
Suppose 12% of students are veterans. From a sample of 263 students, how unusual would it be to have less than 22 veterans?
kkurt [141]

Answer:

Yes, both np and n(1-p) are ≥ 10

Mean = 0.12 ; Standard deviation = 0.02004

Yes. There is a less than 5% chance of this happening by random variation. 0.034839

Step-by-step explanation:

Given that :

p = 12% = 0.12 ;

Sample size, n = 263

np = 263 * 0.12 = 31.56

n(1 - p) = 263(1 - 0.12) = 263 * 0.88 = 231.44

According to the central limit theorem, distribution of sample proportion approximately follow normal distribution with mean of p = 0.12 and standard deviation sqrt(p*(1 - p)/n) = sqrt (0.12 *0.88)/n = sqrt(0.0004015) = 0.02004

Z = (x - mean) / standard deviation

x = 22 / 263 = 0.08365

Z = (0.08365 - 0.12) / 0.02004

Z = −1.813872

Z = - 1.814

P(Z < −1.814) = 0.034839 (Z probability calculator)

Yes, it is unusual

0.034 < 0.05 (Hence, There is a less than 5% chance of this happening by random variation.

7 0
3 years ago
Jenny wants to rent struck for one day she contacted two companies Laguna truck rentals charges $20 plus $2 per mile. Salvatore
Aleks04 [339]
Ok so lets work our way up to see when the price will be the same so..luguna charges $20 plus $2 per mile and Salvatore cost 3 per mile so..

20+2=22+2=24+2=26+2=28+2=30+2=32+2=34+2=36+2=38+2=40+2=42+2=44+2=46+2=48+2=50+2=52+2=54+2

3+3=6+3=9+3=12+3=15+3=18+3=21+3=24+3=27+3=30+3=33+3+36+3=39+3=42+3=45+3+48+3=51+3=54 so it would take 18 miles hope this helped
3 0
3 years ago
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