Answer:
101.98 yards.
Step-by-step explanation:
Please refer to the diagram that I drew (sorry for the messiness; I do not own a stylus and so I was using my mouse to try to draw it).
Since the triangle is a right triangle, you can use SOH CAH TOA. In this case, you are trying to figure out the opposite length, but you are given the adjacent. So, we will use tangent to solve this (TOA = Tangent, Opposite over Adjacent).
The angle is 22.6 degrees, and the tangent of the angle is equivalent to the opposite length, x, divided by the adjacent length, 245 yards.
tan(22.6) = x / 245
x / 245 = tan(22.6)
x = tan(22.6) * 245
x = 0.4162598242 * 245
x = 101.9836569
So, you are about 101.98 yards from the cabin.
Hope this helps!
Answer:
Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
The radius is 1
Volume =
or 4.19
Step-by-step explanation:
Given
Radius, r = 1
Required
Find the volume of sphere
Volume of a sphere is calculated using the following formula

Where V = Volume and r = radius
By Substitution,

Solving further to get the numerical value of volume;
We have to substitute 3.14 for π

V = 4.19 to the nearest hundredth
-1 is less than 0, so you use the first equation:
3(-1) +2 = -3+2 = -1
f(-1) = -1
For 0 use the 2nd equation:
3(0) + 4 = 0+4 = 4
f(0) = 4
For 2 use the 2nd equation:
3(2) + 4 = 6+4 = 10
f(2) = 10
Step-by-step explanation:
The rule for a 90 degree counterclockwise is
(x,y) -> (-y,x)
so
C(-1,2) -> C'(-2,-1)
D(3,5) -> D'(-5,3)
E(1,2) -> E'(-2,1)