Answer:
c = 8.7 inches
Step-by-step explanation:
a^2 + b^2 = c^2
Substitute in the known values for a and b (the order doesn't matter):
(4.8)^2 + (7.3)^2 = c^2
multiply 4.8 times itself, 7.3 times itself:
23.04 + 53.29 = c^2
76.33 = c^2
Now find the square root of both sides of the equation (square root of c^2 = c):
8.736= c
It says round to the nearest tenth, so c = 8.7 inches
Answer:
10 in
Step-by-step explanation:
So we want to consider the surface area of this sphere.
The formula for surface area of a sphere is
.
So we have that the surface area is
.
So I'm going to replace
in
with
.

Now our main objective here is to solve for
:
Divide both sides by
:

This gets us
by itself:

What number squared gives you 25? If you don't know, just take the square root of both sides giving you:

Now you can just put
in your calculator. You should get 5.
5 is the radius
The diameter is twice the radius.
So 2(5) is 10, so the diameter is 10 in.
||cu|| = |c| * |u| = c[ magnitude of vector sum of 5i + 12j ] = 3sqrt(5^2 + 12^2)
= 3sqrt(169) = 3(13) = 39 (answer)
Point slope form is where the second y and x of the equation is a point on the graph. In this problem, the x part would be (y+4) because the 4 is negative in the original point, and the y part would be (x-3), because the y value of the point is positive. The final answer is <span>Y+4=-2(x-3), because the slope is negative, when you try to find the slope, you can tell that the line goes in a negative slope line, </span>