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masha68 [24]
3 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]3 years ago
5 0

Answer:

Its 93.8 on ed

melisa1 [442]3 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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The width of a rectangle is 3 3 feet longer than two times its length, and its area is 27 27 . If you use L L to represent the l
Nady [450]

Answer:

The expression representing the width is 3+2L

The width is 9ft

Step-by-step explanation:

Area of a rectangle = Length×width

A = L × W...(1)

Let the length be represented as L

Since the width of the rectangle is 3feet longer than two times its length, this is expressed as:

First, width is twice as long as the length i.e W = 2L

If the resulting width is now 3 feet longer, the final width of the rectangle will be expressed as:

W = 3+2L...(2)

Area (A) = 27ft

Substituting equation 2 into 1, we have;

A = L(3+2L)

A = 3L+2L²

27 = 3L+2L²

2L²+3L-27 = 0

Factorizing the resulting equation

(2L²+9L)-(6L-27) = 0

L(2L+9)-3(2L+9) = 0

L-3 = 0 and 2L+9 = 0

L = 3 and L = -9/2

Disregarding the negative value and substituting L = 3 into equation 2 to get the width

W = 3+2(3)

W = 3+6

W = 9ft

4 0
3 years ago
Read 2 more answers
You paint 13 1 3 of a wall in 14 1 4 hour. At that rate, how long will it take you to paint one wall?
Lady bird [3.3K]

Find the rate at which you work, that is, the # of walls painted per hour:

13 1/3 walls          40/3

------------------  = ---------- wall per hour

14 1/4 hr              57/4

Keep 40/3 as it is; invert the divisor (57/4) and then multiply the result by 40/3:

40        4        160 wall

------ * ------  = --------------- = approx. 0.94 wall in one hour, or 160/171 wall / hr

  3       57        171 hr

4 0
3 years ago
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A piece of electronic equipment is built with 3 cooling fans. The equipment will function only if at least 2 of the 3 fans are w
PolarNik [594]

Answer:

0.66608

Step-by-step explanation:

Equipment = 3 fans

Mortality = 0.098

We are required to find probability that equipment gets to work for 5years

The question says forces of mortality is constant and also equal to 0.098

To calculate p(x>5)

We will do this by calculating exponentially

e^-0.098x5

= 0.612626394

Probability that at least 2 fans out of 3 are working

3(0.612626394)²+(1-0.612626394)+(0.612626394)³

= 1.1259333x0.3873736+0.2299255

= 0.6660823470

This is approximately

<u>0.6608</u>

this is the probability that the equipment will work for at least 5years

8 0
3 years ago
What is (x2 - 7x + 12) / (x-3)<br><br> A. X-4<br> B. X-10<br> C. -4x+12<br> D. X-3
dybincka [34]
The answer is A. x - 4
5 0
3 years ago
Ella swims four times a week at her clubs pool. She swims the same number of laps on Monday,Wednesday,Friday,and 15 laps on Satu
Reika [66]

She swims 12 laps on Monday.

Step-by-step explanation:

Total laps = 51 laps

Laps on Saturday = 15 laps

Let,

x be the number of laps on Monday, Wednesday and Friday each.

According to given statement;

Monday+Wednesday+Friday+Saturday = 51

x+x+x+15=51\\3x=51-15\\3x=36

Dividing both sides by 3

\frac{3x}{3}=\frac{36}{3}\\x=12

She swims 12 laps on Monday.

Keywords: addition, division

Learn more about division at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

7 0
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