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dedylja [7]
2 years ago
8

An ant looks up at an angle of elevation of 30degrees to the top of a tree. If the ant is 40 feet from the base of the tree, wha

t is the height of the tree, to the nearest tenth?
a.
23.1 feet
b.
25.2 feet
c.
32.8 feet
d.
34.6 feet
Mathematics
1 answer:
Triss [41]2 years ago
3 0

Anaswer Let the height of the tree be  

y

ft. By condition;  

tan

38

=

y

43

or

y

=

43

tan

38

or

y

=

33.6

ft [Ans]

Step-by-step explanation:

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Which expression is equal to x + (y + z)?
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X+(y+z) is equal to saying (x+y)+z

This is called the cumulative property when order doesn’t matter or doesn’t change the equation. As in 1+2 is the same as 2+1. No matter which way we get the same answer. This only works with multiplication and addition though. Hope this helps. Any questions please just ask!! Thank you so much!!
5 0
3 years ago
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A study found that, in 2005, 12.5% of U.S. workers belonged to unions (The Wall Street Journal, January 21, 2006). Suppose a sam
Julli [10]

Answer:

There is not enough evidence to support the claim that union membership increased.  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 12.5% = 0.125

Alpha, α = 0.05

Number of women belonging to union , x = 52

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.125\\H_A: p > 0.125

The null hypothesis sates that 12.5% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.

This is a one-tailed(right) test.  

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{52}{400} = 0.13

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.13-0.125}{\sqrt{\frac{0.125(1-0.125)}{400}}} = 0.3023

Now, we calculate the p-value from the table.

P-value = 0.3812

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Conclusion:

Thus, there is not enough evidence to support the claim that union membership increased.

8 0
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Given ∆ABC, with a = 9 , b = 8 and c =13, find angle c
strojnjashka [21]

Answer:

angle c is 13 as it said in the question

Step-by-step explanation:

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2 years ago
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5.15 x 5 = 25.75

25.75 + 3.75 = 29.5

So your answer is $29.50

Hope it helps! :D

6 0
3 years ago
Why is 3÷0.5 is 6, why is it?​
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

A quick way to divide by 0.5 or ½ is to double the number (or multiply number by 2). The reason for this is that two halves go into a whole.

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3 years ago
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