<span>343 pi in^3 ; exact volume
1078 in^3 ; Approximate volume
Since it's not specified, I will assume the axis of rotation will be one edge of the square. With that in mind, here's the solution.
Since the shape specified is a square with an area of 49 in^2, the length of any edge will be sqrt(49) = 7 inches.
Since we're rotating along one edge, we will create a cylinder with a radius of 7 inches and a height of 7 inches. The volume will be the area of a circle with a 7 inch radius multiplied by the height of the cylinder. So
V = pi*h*r^2
V = pi*7*7^2
V = pi*7*49
V = pi*343
V = 343pi
V = 1077.56628; approximately.
So the exact volume is 343pi in^3 and an approximate volume is 1078 in^3</span>
Answer:
x = 37/3 = 12.333
Step-by-step explanation:
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
15x - 185 = 5 • (3x - 37)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : 3x-37 = 0
Add 37 to both sides of the equation :
3x = 37
Divide both sides of the equation by 3:
x = 37/3 = 12.333
Answer:
D, E
Step-by-step explanation:
A fraction can also be called a ration so it is in fact a rational number as well as a real number. When you get to imaginary numbers, you'll scream, Trust me.
With the total sales of $2,733, the sales over $2,000 is $733. The commission she will receive is equal to the product of $733 and the decimal equivalent of the commission. That is,
commission = (0.04)($733)
commission = $29.32
The total compensation she will receive is the summation of the commission and weekly salary.
total compensation = $29.32 + $500
<em> total compensation = $529.32</em>
This week, Sandi will receive a total compensation of $529.32.
Answer:
y=x+5
Step-by-step explanation:
it is not a proportional relationship and it starts at 5 and the slope is 1 so just x