Answer:
V =1236.4 ft^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
The radius is d/2 =15/2 = 7.5
V = 3.14 (7.5)^2 * 7
V = 1236.375
Rounding to the nearest tenth
V =1236.4 ft^3
Answer:
-4 See Below:
Step-by-step explanation:
When you have a system of equations, you need to solve for one variable, and subsitute that variable into the other equation to solve for the other variables value.
3x +6y = 30 In this case, it would be easier to solve for x.
3x= 30-6y Divide both sides by 3
x= 10-2y
Now we substitute for x in the other equation.
5x- 4y = 22
5(10-2y)-4y=22
50-10y-4y=22
50-14y=22 Add 14y to both sides
50= 14y + 22 Subtract 22 from both sides
28 = 14y Divide by 14 on both sides.
y = 2
Substitute y=2 and solve for x.
x = 10- 2y
x= 10-2*2
x= 10-4
x= 6
Now we know y=2 and x=6, so we can substitute them into x-5y to find its value.
x - 5y
= 6-5*2
=6-10
= -4
Use the quadratic formula:
for equation Ax^2+Bx+C=0
x=(-b +/- sqrt(b^2-4ac))/2a
substituting,
=(6 +/-sqrt(6^2-4*3*1))/(2*3)
=(6 +/- 0)6
=1 multiplicity 2. (both real)
If the complex form is required, then
{1+0i, multiplicity 2}
Answer: c.) 17 rounds to 20, 53 rounds to 50, and 20: 50 = 1.000 seats
Step-by-step explanation:
*5 or more, add one more. 4 or less, give it a rest (leave it alone)*
17 rounds to 20
(the 7 is used to boost the 1 to a 2 since its more than 5, making it 20)
53 rounds to 50
(the 3 is less than 4 so we leave the 5 as is, making it 50).
Therefore, 20x50 = 1000 seats or 20:50=1000
