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Arada [10]
3 years ago
14

The angle of elevation from L to K measures 39°. If KL = 12, find JL. Round your answer to the nearest tenth.

Mathematics
2 answers:
WITCHER [35]3 years ago
4 0
Answer is C=9.3

Pls find attached file

umka21 [38]3 years ago
3 0

Answer:

3rd Option is correct.

Step-by-step explanation:

Given:

Angle of elevation from L to K = 39°

J is the vertex of the Right angled triangle.

To find: JL

Figure is attached.

In ΔJKL,

Using Trigonometric ratio,

cos\:39=\frac{JL}{KL}

0.77=\frac{JL}{12}

JL = 0.77 × 12

JL = 9.324

JL = 9.3

Therefore, 3rd Option is correct.

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What is the range of possible sizes for side x
Xelga [282]

Answer:

0.5 < x < 16.5

Step-by-step explanation:

For a triangle (by the triangular inequality theorem), we know that the sum of any two sides must be larger than the other side.

When we have a triangle and we know two sides, let's define the measures of these sides as S1 and S2.   (such that S2 > S1)

By the first property, we will have that S1 + S2 > S3

Where S3 is the third side, the one that we do not know.

But there is also a lower restriction, given by:

S2 - S1 < S3 < S1 + S2

This is because we also must have:

S1 + S3 > S2

and

S2 + S3 > S1

We can rewrite both of these to get:

S2 - S1 < S3

S1 - S2 < S3

Because S2 > S1, the first inequality is more restrictive, so we need to use that one.

Then we get the inequality:

S2 - S1 < S3 < S1 + S2

Ok, in this case, the shorter side is 8.0 then:

S1 = 8.0

And the longer side is 8.5, then:

S2 = 8.5

And the third side is x, S3 = x

Replacing those in our inequality, we get:

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 16.5

This is the range of possible sizes for side x.

3 0
3 years ago
Juan runs a charity run to raise money for a local animal shelter and his friend pledges $0.75 per mile that Juan runs. If Juan
givi [52]

Answer:

2.62 dollars

Step-by-step explanation:

6 0
2 years ago
Rick knows that 1 cup of glue weighs 1/18 pound. He has 2/3 pound of glue. How many cups of glue does he have?
Basile [38]
\begin{array}{ccc}1\ cup&-&\frac{1}{18}\ lb\ (pound)\\\\x\ cup&-&\frac{2}{3}\ lb\ (pounds)\end{array}\ \ \  \ \ \ cross\ multiply\\\\\\\frac{1}{18}x=1\times\frac{2}{3}\\\\\frac{1}{18}x=\frac{2}{3}\ \ \ \ \ \ |multiply\ both\ sides\ by\ 18\\\\18\times\frac{1}{18}x=18\times\frac{2}{3}\\\\x=6\times2\\\\\boxed{x=12}\\\\Answer:He\ has\ 12\ cups\ of\ glue.
6 0
3 years ago
Find the length of the missing angle
amm1812

Answer: x=7.21

Step-by-step explanation: This is a right triangle- remember the Pythagorean theorem: a² + b² = c². To find leg a, you'd use a = √(c² - b²) **leg a would be the side that is labeled with 12. To find leg b, you'd use b = √(c² - a²) *this is the equation we need. To find the hypotenuse, or <em>c</em>, you'd use c = √(a² + b²). This equation works for right triangles only.

Hope this helps :)

4 0
2 years ago
If y =- 5x + 3, find the value of x when y = 13.
zmey [24]

Answer:

x=2

Step-by-step explanation:

You would first subsitute the y with 13. The you would subtract 3 from 3 and 13. Then you would have  10=5x. Then you would divide 5 by 5 and 10. You will get x = 2  

:)

3 0
2 years ago
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