The school drama club had 40 students in it last year. This year, the club has 52 students.

WILL GIVE BRAINLIEST The angle of elevation from Ben to the top of a telephone pole is 62 degrees. If Ben is standing 8 feet fro

MrRissso [65]

Answer: The height of the telephone pole = $15.046

Step-by-step explanation:

Given: Angle of elevation= 62 degrees.

Distance of Ben from the base of the pole = 8 feet

According to trigonometry, we have

$\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}$

i.e.

$\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046$

Hence, The height of the telephone pole = $15.046

4 0

2 years ago

F(x) = 2x2 – 4x – 3

Elanso [62]

Mica should have added 2 to 3 instead of 1

7 0

3 years ago

Read 2 more answers

How many ounces is in a ton

Alenkasestr [34]

32000 ounces = 1 ton

5 0

3 years ago

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50 POINTS!!!

Goryan [66]

9514 1404 393

Answer:

f(x) = x
g(x) = -2x+1
f(x) -(-g(x)) = -x+1
f(x) +g(x) = -x+1
f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not

Step-by-step explanation:

We can define a couple of linear functions as ...

f(x) = x

g(x) = -2x+1

Then the reflected function -g(x) is ...

-g(x) = -(-2x +1) = 2x -1

And the difference from f(x) is ...

f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))

We want to compare that to the sum of the functions:

f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)

The two versions of the function expression have the same value.

These results are <em>a property of addition</em>, so do not depend on the nature of f(x) or g(x). They will hold for every function.

3 0

3 years ago

Please helppp...

Brut [27]

Answer:

Option A is correct

The linear relationship displayed by the scatter plot is; y=x+10

Step-by-step explanation:

Scatter plot states that a set of points that represent data.

To determine the best equation for a set of points from the given figure.

In general, you can use these steps as follows:

First sketch the line that appears to most closely follow the data.

and also try to have the same number of points above and below the line.

You can choose two points on the line and estimate their coordinates.
Then, find the equation of the line that passes through the two points

To find the equation of linear relationship that displayed by the scatter plot

Using Slope-intercept form:

For any two points $(x_1, y_1)$ and $(x_2, y_2)$ the equation of line is given by:

$y-y_1 = m(x-x_1)$ where m is the slope and it is given by:

$m = \frac{y_2-y_1}{x_2-x_1}$

From the figure we choose two points on the line:

i.e, (9 , 19) and ( 15 , 25)

Calculate first slope m :

$m = \frac{y_2-y_1}{x_2-x_1}= \frac{25-19}{15-9}=\frac{6}{6}=1$

Now, using slope intercept form to find the equation of line;

$y-19 = 1 \cdot(x -9)$

or

y-19 = x -9

Add both sides 19 we get;

y -19 + 19 = x -9 + 19

Simplify:

y = x+10

Therefore, the function which best expresses the linear relationship displayed by the scatter plot is; y = x +10

8 0

3 years ago

Read 2 more answers