<h2>
Answer:</h2>
The area of the top surface of the washer is: 160.14 square mm.
<h2>
Step-by-step explanation:</h2>
The top of the surface is in the shape of a annulus with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)
Now, we know that the area of the annulus region is given by:

where R is the outer radius and r is the inner radius.
Here we have:

Hence, we have:

Hello,
If you are starting with the angle of 40 degrees, you have an adjacent side and hypotenuse. Therefore, it is a cosine relationship.
We can write:
cos(40) = adj / hyp
cos(40) = x / 220
To solve for x, simply multiply 220 by the cos(40).
You can write it as: 220 cos(40)
Good luck,
MrEQ
Step-by-step explanation:
x+13÷2×2=4×2
x+13=8
x+13-13=8-13
x=8-13
x=-5
Answer:
40 in
Step-by-step explanation:
For a width of w, the length is 3w and the area and perimeter are ...
A = LW = (3w)(w) = 3w^2
P = 2(L+W) = 2(3w +w) = 8w
We are given the area, so we can find w to be ...
75 in^2 = 3w^2
25 in^2 = w^2 . . . . . divide by 3
5 in = w . . . . . . . . . square root
Then the perimeter is ...
P = 8w = 8(5 in) = 40 in
Answer:
-4f
Step-by-step explanation:
Hi! Let's work on simplifying this.
f(4) = 4f
f(0) = 0, because anything x 0 is 0
f(-8) = -8f
Our equation is 4f + -8f
We can get rid of the plus negative...
4f - 8f
So we get:
-4f