The question is asking you to find the measure of YZ's arc.
The arc of a circle is found by finding the central angle. In this case, that's angle YCZ. Remember that a circle's total degrees is 360. Since the angle that you are trying to find is 16% of the circle, you need to find 16% of 360.
360*0.16 = 57.6
The measure of arc YZ is 57.6 degrees.
Answer:
Step-by-step explanation:
y=x^2-x+1
We want to solve for x.
I'm going to use completing the square.
Subtract 1 on both sides:
y-1=x^2-x
Add (-1/2)^2 on both sides:
y-1+(-1/2)^2=x^2-x+(-1/2)^2
This allows me to write the right hand side as a square.
y-1+1/4=(x-1/2)^2
y-3/4=(x-1/2)^2
Now remember we are solving for x so now we square root both sides:
The problem said the domain was 1/2 to infinity and the range was 3/4 to infinity.
This is only the right side of the parabola because of the domain restriction. We want x-1/2 to be positive.
That is we want:
Add 1/2 on both sides:
The last step is to switch x and y:
53 and 17
Step-by-step explanation:
If you add 53 and 17, you get 70.
If you subtract 17 from 53, you get 36. Hope this helps!
Answer:
Volume= 216 cubic yards
Surface area: 276 square yards
Step-by-step explanation:
Find volume of rectangular prism:
V= lxwxh
V= 3x18x4
= 216 cubic yards
Find surface area:
SA= 2 x (front/back area) + 2 x (right/left area) and 2 x ( bottom/top area)
Front and Back Area:
A= l x w
A = 18 x 3
= 54 square yards
Right/ left Area:
4 x 3
= 12 square yards
Top/ Bottom Area:
18 x 4
= 72 square yards
54^2+12^2+72^2
= 108+24+144
=276 square yards
