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Naddik [55]
3 years ago
7

A cable 27 feet long runs from the top of a utility pole to a point on the ground 16 feet from the base of the pole. How tall is

the utility pole?
Mathematics
1 answer:
Daniel [21]3 years ago
8 0

Answer:

15^2+x^2=22^2

225+x^2=484

x^2=259

x=16.09 feet

Step-by-step explanation: 15^2+x^2=22^2

225+x^2=484

x^2=259

x=16.09 feet

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Which of the following is a solution of y + x < -5?
dedylja [7]

Answer:

(-4, -2)

Step-by-step explanation:

To find if a point is a solution (or verifies) an inequation (or an equation), you simply have to enter the given values in it and see if it's true.

Let's try with all the 4 given choices:

(-4, -2)  

y + x < -5

-4 - 2 < -5

-6 < -5 TRUE

(-3, -2)

y + x < -5

-3 - 2 < -5

-5 < -5 FALSE

(-2, -3)

-2 - 3 < -5

-5 < -5 FALSE

(-1, -3)

-1 - 3 < -5

-4 < -5 FALSE

6 0
3 years ago
Given the linear equation 5x+3y-9=0. Write another linear equation in two variables such that the geometrical representation of
just olya [345]

Answer:5x+3y+1=0

Step-by-step explanation:

Given

The linear equation is 5x+3y-9=0

The other linear equation parallel to the given line can be represented by

5x+3y+c=0

Here, c can take any value . for example c=1, line becomes

\Rightarrow 5x+3y+1=0

8 0
3 years ago
Need help with this.
Nat2105 [25]

I can’t see your question I wish I could help you

5 0
3 years ago
A lighthouse is located on an island 200 feet from the shore of the mainland as
Deffense [45]

Answer: Approximately d = 208.72

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

Work Shown:

Make sure your calculator is in radian mode

A quick way to check is to compute cos(pi) and you should get -1

cos(angle) = adjacent/hypotenuse

cos(x) = 200/d

cos(0.29) = 200/d

d*cos(0.29) = 200

d = 200/cos(0.29)

d = 208.715135166392 which is approximate

d = 208.72

I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.

4 0
3 years ago
The equation of the line f is y =4/9x+3/2.Line g is perpendicular to f. What is the slope of line g?
tangare [24]

Answer:

-9/4

Step-by-step explanation:

A perpendicular slope is on that is the negative reciprocal. current slope=4/9 and the negative recipocal is -9/4.

7 0
2 years ago
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