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Crank
2 years ago
5

What is the length of the line?

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
7 0

Answer:

the length of the line is 7

Step-by-step explanation:

it is b. 7

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At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while
aliya0001 [1]

Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is \theta

Thus, by the question,

tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}

\implies tan\theta = \frac{x}{x}    ( at 3pm the height of shadow = height of the pole)

\implies tan\theta = 1

\implies \theta = 45^{\circ}

Again, according to the question,

When the angle of elevation is   (\theta - 12^{\circ}),

The height of shadow = x + 95,

\implies tan(45-12)^{\circ}=\frac{x}{x+95}

\implies tan 33^{\circ}=\frac{x}{x+95}

\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x

\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}

\implies -0.3505924068 x = - 61.6937213538

x=175.969930202\approx 175.97\text{ cm}

4 0
3 years ago
The difference between a number and seven is less than or equal to -3
Scorpion4ik [409]
X-7 < -3
Remember that the less than or equal to has a line underneath it!
6 0
3 years ago
Read 2 more answers
4. Find the total surface area.<br>5.1 in.<br>3 in.<br>8.3 in.​
maw [93]

Answer:

Surface Area  = 165.06 inches 2

Step-by-step explanation:

5.1 in.

3 in.

8.3 in.​

Surface Area = 2×(5.1×3 + 5.1×8.3 + 3×8.3)

                      = 165.06 inches 2

6 0
3 years ago
If f(x) = x^2 -5x +1 and g(x) =5x+4 what is the value of g•f (-2)
Arlecino [84]

Answer:

The value of gof (-2)=79

Step-by-step explanation:

We have

f(x) = x^2 -5x +1 \\\\f(-2) = (-2)^2 -5\times-2 +1 \\\\=15

Now we need to find

gof (-2)=g(15)

g(15) =5\times15+4\\\\=79

5 0
2 years ago
|3x-7|-7=x solve the equation for all values of x
romanna [79]

The solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.

<h3>What are the solutions to the given equation?</h3>

Given the equation in question;

|3x-7| - 7 = x

First, add 7 to both sides.

|3x-7| - 7 + 7 = x + 7

|3x-7|  = x + 7

Next, remove the absolute value term, this creates a ± on the right side of the question.

|3x-7|  = x + 7

3x-7  = ±( x + 7 )

The complete solution is the result of both the negative and positive portions of the solution.

For the first solution, use the positive of ±.

3x-7  = ( x + 7 )

3x - 7  =  x + 7  

3x - x = 7 + 7

2x = 14

x - 14/2

x = 7

For the second solution, use the negative of ±.

3x-7  = -( x + 7 )

3x-7  = -x - 7

3x + x = -7 + 7

4x = 0

x = 0/4

x = 0

Therefore, the solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.

Learn to solve more equation involving absolute value term here: brainly.com/question/28635030

#SPJ1

4 0
1 year ago
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