Answer:
The circle graph is attached.
Step-by-step explanation:
a) Data and Calculations:
Monthly Expenses for a Family Budget
Expenses Percentage Degree
Housing 35% 130° (360° * 35%)
Food 14% 50° (360° * 14%)
Clothing 17% 60° (360° * 17%)
Entertainment 12% 40° (360° * 12%)
Auto 22% 80° (360° * 22%)
b) The result shows that Housing expense took more than one-third of the circle with auto expenses occupying the next biggest chunk of the circle. Clothing came third to occupy one-sixth of the circle, with food and entertainment trailing behind with less than one-sixth of the circle respectively.
[4 over x equals 5 over 10]
Solve for x, so you need to isolate/get x by itself in the equation.
Multiply x on both sides
Multiply the inverse of 5/10, which is 10/5, to get rid of the fraction and get x by itself
8 = x
Answer:
<h2>A)FIND THE VALUE OF Y.</h2>
Step-by-step explanation:
<h2>#CARRY ON LEARNING</h2><h2>#MARK BRAINLITS</h2>
let's recall the remainder theorem.
we know that (x-1) is a factor, that means x -1 = 0 or x = 1.
since we know that (x-1) is a factor, then dividing the polynomial by it will give us a remainder of 0, which correlates with saying that f(1) = 0, in this case, so we can simply plug in "1" as the argument, knowing it gives 0.
![f(x)=3x^3+kx-11\\\\[-0.35em]~\dotfill\\\\\stackrel{0}{f(1)}=3(1)^3+k(1)-11\implies \stackrel{f(1)}{0}=3+k-11\implies 0=-8+k\implies 8=k](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3%2Bkx-11%5C%5C%5C%5C%5B-0.35em%5D~%5Cdotfill%5C%5C%5C%5C%5Cstackrel%7B0%7D%7Bf%281%29%7D%3D3%281%29%5E3%2Bk%281%29-11%5Cimplies%20%5Cstackrel%7Bf%281%29%7D%7B0%7D%3D3%2Bk-11%5Cimplies%200%3D-8%2Bk%5Cimplies%208%3Dk)
The circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle. so I believe it is A. True..
