Find the length of side w.

Hey there! I'm happy to help!

To find this other side given an angle and a side, we will use a trigonometric function. The three basic ones are sine, cosine, and tangent. You can remember these and what what they are using the mnemonic "soh cah toa".

SOH: Sine= Opposite/Hypotenuse

CAH: Cosine= Adjacent/Hypotenuse

TOA: Tangent= Opposite/Adjacent

We see that the sides involved are the opposite and hypotenuse.

Therefore, we can write this equation.

sin40= w/28

We multiply both sides by 28 to isolate the w.

28×sin40=w

Now, we find the sine of 40 on our calculator and then we multiply it by 28.

w≈18

Therefore, the answer is 18 cm.

I hope that this helps! Have a wonderful day!

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.