F(x)=x^2. what is g(x)?

From the diagram below, of the distance between the tree and point B is 125 meters, and the angle of depression from the top of

ankoles [38]

Answer:

a. 129 meters

Step-by-step explanation:

The given parameters of the tree and the point B are;

The horizontal distance between the tree and point B, x = 125 meters

The angle of depression from the top of the tree to the point B, θ = 46°

Let h represent the height of the tree

The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point B is parallel to the horizontal distance from the point B to the tree, therefore;

The angle of depression = The angle of elevation = 46°

By trigonometry, we have;

tan(θ) = h/x

∴ h = x × tan(θ)

Plugging in the values of the variables gives;

h = 125 × tan(46°) ≈ 129.44

The height of the tree, h ≈ 129 meters

3 0

2 years ago

Does someone mind helping me with this problem? Thank you!

faltersainse [42]

$\frac{10-(3 \cdot 2^2 - 23)}{(1 + 10^2)-2^2 \cdot 5^2} =$

$10-\left(3\cdot \:2^2-23\right) =10-\left(-11\right) =21$

$\left(1+10^2\right)-2^2\cdot \:5^2 = 101-2^2\cdot \:5^2 = 101-4\cdot \:5^2 =101-4\cdot \:25 =101-100 = 1$

$=\frac{21}{1}$

$\frac{a}{1}= a$

$=21$

I hope I helped you!

4 0

1 year ago

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Maria want to make a footstool in the shape of a cylinder, as show below. She wants to fill the footstool with foam and cover it

dexar [7]

Answer:

She'll need 8143 cubic inches of foam and 1,809.6 square inches of fabric.

Step-by-step explanation:

Assuming you want to know how much foam and fabric she will need...

First the foam... so we need to determine the volume of that footstool. The Volume of a cylinder is given by:

V = π * r² * h

So, we plug in the numbers:

V = π * 12² * 18 = π * 144 * 18

V = 2,592 π = 8143 cubic inches.

Now for the fabric... we'll assume Maria wants to cover the side of the stool and the top, but not the bottom.

The side of the stool is basically a rectangle of width of 18 inches and a length of the circumference of the base of the stool. The circumference is given by: C = 2 π * r of course, so C = 24π = 75.14 inches.

So the lateral surface of the cylinder is:

LS = 18 * 75.14 = 1,357.2 sq inches.

Then we need to calculate the area of the top... which is easy:

A = π * r² = π * 12² = 144 π = 452.4 sq inches

So, to cover the lateral side of the footstool and its top, she needs to use:

TA = 1,357.2 + 452.4 = 1,809.6 sq inches of fabric.

8 0

3 years ago

Explain what happens to the cross products when the terms of a proportion are cross multiplied.

Temka [501]

Answer:

The cross product is created

Step-by-step explanation:

A proportion is simply a statement that two ratios are equal. ... In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

I hope this helped :)

6 0

3 years ago

What is the slope of the line represented by the equation

marin [14]

Answer:

a). -1/2

Step-by-step explanation:

5 0

2 years ago

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