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masha68 [24]
4 years ago
5

A tree is growing on a hill. In an attempt to make the tree grow straight up, a 12-foot-long wire is attached to a tree at a poi

nt 6 feet off the ground. The wire is anchored to the ground 10 feet from the base of the tree. At what angle is the tree growing in relation to the hill?

Mathematics
2 answers:
nasty-shy [4]4 years ago
5 0

Answer:

Its 93.8 on ed

melisa1 [442]4 years ago
3 0
For this case what we must do is use the law of cosines.
 We have then:
 12 ^ 2 = 6 ^ 2 + 10 ^ 2 - 2 * (6) * (10) cos (x)
 Clearing we have:
 cos (x) = (12 ^ 2- (6 ^ 2 + 10 ^ 2)) / (- 2 * (6) * (10))
 x = acos ((12 ^ 2- (6 ^ 2 + 10 ^ 2)) / (- 2 * (6) * (10)))
 x = 93.82 degrees
 Answer:
 
The tree is growing in relation to the hill at:
 
x = 93.82 degrees
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Answer:

x=-2 y=0

Step-by-step explanation:

put the second equation in to the first one

-2x+x+2=4

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y=-2+2=0

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3 years ago
5 The Young family is replacing their central air-conditioning with a high- efficiency unit that costs $11798. The family is off
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Step-by-step explanation:

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2 years ago
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule t
MissTica

Answer:

A) 99.7% of people have an IQ between 64 and 136.

B) 5% of people have an IQ score less than 76 or greater than 124.

C) 16% of people have an IQ score greater than 112.

Step-by-step explanation:

The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.

A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.

B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.

C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.

8 0
3 years ago
The base of a parallelogram is 3.2 centimeters and the height is 1.8 centimeters. What is the area of the parallelogram? Do not
jeka94

Answer:

A = 5.76 cm²

Step-by-step explanation:

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3 0
3 years ago
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Answer:

x is given as -1.5. Substitute to confirm

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