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yarga [219]
4 years ago
10

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics
1 answer:
klemol [59]4 years ago
5 0
<h3>Answer:   0.6</h3>

=================================================

Work Shown:

x = length of GH

Through the Pythagorean theorem, we can say

a^2 + b^2 = c^2

(FH)^2 + (GH)^2 = (FG)^2

4^2 + x^2 = 5^2

16 + x^2 = 25

x^2 = 25-16

x^2 = 9

x = sqrt(9)

x = 3

GH = 3

---------------

Now compute the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(G) = GH/FG

cos(G) = 3/5

cos(G) = 0.6

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VikaD [51]
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6 0
4 years ago
During a recent drought, a water utility in a certain town sampled 100 residential water bills and found that 80 of the residenc
Anastasy [175]

Answer: 0.893

Step-by-step explanation:

Given : Sample size of residential water bills: n=100

Number of residences had reduced their water consumption over that of the previous year = 80

Then sample proportion: \hat{p}=\dfrac{80}{100}=0.8

Critical value for 98% confidence= z_{\alpha/2}=2.326

The upper bound for confidence interval for population proportion :

\hat{p}+ z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

=0.8+ (2.326)\sqrt{\dfrac{0.8(1-0.8)}{100}}\\\\=0.8+0.09304=0.89304\approx0.893

Hence, the 98% upper confidence bound for the proportion of residences that reduced their water consumption.=0.893

4 0
3 years ago
Is (1,7) a solution to the inequality y &lt; 3x + 3?​
IgorC [24]

Answer:

yes

Step-by-step explanation:

because 7 is equal to 3 so the answer is correct

7 0
3 years ago
Find the amount of the sales tax and the total cost. Cost of Item $200 Tax Rate 8​% How much is the sales​ tax? What is the tota
Mariulka [41]
Cost=$200
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3 0
3 years ago
When sohring the equation, which is the best first step to begin to simplify the equation?
Leno4ka [110]

Answer:

see below

Step-by-step explanation:

-2(x+3)=-10

There are two ways to approach solving this problem

1.  You can distribute -2 to each term in the parentheses

-2x -6 = -10

OR

Divide each side by -2

2. -2(x+3)=-10

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They will both result in the same answer at the end

7 0
4 years ago
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