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Nady [450]
3 years ago
15

A guy-wire is attached from the ground to the top of a pole for support. If the angle of elevation to the pole is 67° and the wi

re is attached to the ground at a point 137 feet from the base of the pole, what is the heght of the pole (round to 2 decimal places)?
Mathematics
1 answer:
zubka84 [21]3 years ago
4 0
100 and 70 for the 67 and 137
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Perform the indicated operation g(x)=-x-3 h(x) = x 2+X Find (goh) (x)​
Klio2033 [76]

Answer:

(g\circ h)(x)=-x^2-x-3

Step-by-step explanation:

So we have the two functions:

g(x)=-x-3\text{ and } h(x)=x^2+x

And we want to find:

(g\circ h)(x)

This is the same thing as:

=g(h(x))

So, substitute h(x) into g(x):

g(x)=-x-3\\g(h(x))=-(x^2+x)-3

Distribute the negative:

g(h(x))=-x^2-x-3

And we're done!

So:

(g\circ h)(x)=-x^2-x-3

6 0
3 years ago
Read 2 more answers
Please help solve!!<br> -5|x|+4=14
eduard

Answer:

2

Step-by-step explanation:

|x| means absolute value

|x| means if x is positive or negative, its still positive

-5|x|+4=14

-5|x|=10

|x|= -2

answer is 2

3 0
1 year ago
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The table shows the heights and the lengths of several rectangles.
Harman [31]

Answer:

Weak Positive Correlation

Step-by-step explanation: I think that’s correct not 100 percent sure

8 0
2 years ago
Find the length of the rectangle.<br><br> A. 10 in.<br> B. 20 in.<br> C. 27 in.<br> D 70 in.
Dmitriy789 [7]
10 in

This is a answer
6 0
3 years ago
Read 2 more answers
Suppose it takes 4 hours for a certain strain of bacteria to reproduce by dividing in half. If 70 bacteria are present to begin
Sauron [17]

Answer:

1 day: 4480

2 days: 8960

3 days: 13440

f^{-1}(x) = \sqrt{\frac{x -4}{4}} ---- function inverse

Step-by-step explanation:

Given

f(x) = 70 \cdot 64x

Solving (a): The amount present after 1 day.

Here, x =1

So:

f(1) = 70 \cdot 64*1= 4480

Solving (b): The amount present after 2 days.

Here, x =2

So:

f(2) = 70 \cdot 64*2= 8960

Solving (c): The amount present after 3 days.

Here, x = 3

So:

f(3) = 70 \cdot 64*2= 13440

Solving (d): The inverse function of:

f(x)= 4x^2 + 4

Replace f(x) with y

y= 4x^2 + 4

Swap x and y

x= 4y^2 + 4

Rewrite as:

4y^2 = x -4

Divide by 4

y^2 = \frac{x -4}{4}

Take square roots

y = \sqrt{\frac{x -4}{4}}

Replace y with function inverse

f^{-1}(x) = \sqrt{\frac{x -4}{4}}

6 0
2 years ago
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