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Tju [1.3M]
3 years ago
11

A ladder is placed against a wall such that it reaches the top of the wall at a height of 6 meters. The ladder is inclined at an

angle of 60 degrees from the ground. How far is the ladder from the foot of the wall?
(Please show work)

Mathematics
1 answer:
faust18 [17]3 years ago
4 0

Answer:

3.46 meters

Step-by-step explanation:

In the right triangle, Using Trigonometry

\tan 60^\circ = \dfrac{6}{x} \\$Cross multiply\\x\tan 60^\circ =6\\$Divide both sides by \tan 60^\circ\\x=\dfrac{6}{\tan 60^\circ}\\\\x=3.46$ meters

The ladder is 3.46 meters from the foot of the wall.

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Which statements are true regarding the symmetry of the isosceles trapezoid? Check all that apply.
Ad libitum [116K]

Answer:

1, 3, and 5

Step-by-step explanation:

7 0
4 years ago
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Over 6 days jim jogged 6.5 miles 5 miles 3 miles 2 miles 3.5 miles and 4 miles what is the mean distance that jim jogged each da
soldi70 [24.7K]
In order to identify the mean distance jogged by Jim for 6 days, we add up all of the distances and divide the sum by 6. That is,
                           sum = 6.5 + 5 + 3 + 2 + 3.5 + 4 miles 
                            sum = 24 miles
Dividing the sum by 6 will give us an answer of 4 miles. Thus, Jim jogged an average of 4 miles for 6 days. 
5 0
3 years ago
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Yuan makes punch by mixing cranberry juice and pineapple juice. For every 3 cups of punch, he uses 2 cups of cranberry juice. Dr
Aleks [24]

Answer:

10 cups of canberry juice

Step-by-step explanation:

Given that  for every 3 cups of punch, he uses 2 cups of cranberry juice.

we need to find the number of canberry juice needed to make 15 cups of punch

3 cup's of punch ---> 2 cups of canberry juice

15 cups's of punch ----> x cups of canberry juice

on cross multiplication we get

3\times x=15\times2

x = 10

Therefore we need 10 cups of canberry juice

6 0
3 years ago
A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute
Katyanochek1 [597]

Answer:

Step-by-step explanation:

Given that:

sample size n = 36

standard deviation = 10.1

level of significance ∝ = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

H_0 : \sigma = 10

H_1 : \sigma \neq 10

The test statistics can be computed as follows:

X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}

X^2 = \dfrac{(36 -1)10.1^2 }{10^2}

X^2 = \dfrac{(35)102.01 }{100}

X^2 = \dfrac{3570.35 }{100}

X^2 =35.704

degree of freedom = n - 1 = 36 - 1 = 35

Since this test is two tailed .

The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)

P - value = 2 × 0.435163515

P - value = 0.8703      ( to four decimal places)

Decision Rule : To reject the null hypothesis if  P - value is less than the 0.10

Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.

3 0
4 years ago
Paul spent 3/8 of her allowance on clothes in 16 on Entertainement what fraction of her allowance did she spend on other items
nasty-shy [4]

Answer:

11 / 24

Step-by-step explanation:

i'm assuming you mean 1/6


We have to calculate the fraction of Paula`s allowance that she spent on other items if she already had spent 3/8 on clothes and 1/6 on entertainment. First we have to add: 3 / 8 + 1 / 6 = ( LCD is 24 ) = 9 / 24 + 4 / 24 = 13 / 24. Then : 1 - 13 / 24 = 24 / 24 - 13 / 24 = 11 / 24. Answer: She has spent 11 / 24 of her allowance on other items.



6 0
3 years ago
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