Answer:
240 cubic feet
Step-by-step explanation:
l×w×h
12×4=48
48×5=240
Answer:
Step-by-step explanation:
<u>Pool:</u>
Width = x ft
Length = (x+6) ft
<u>Pool along with walkway:</u>
Width = x + 5 + 5 = (x + 10) ft
Length = x + 6 + 5 + 5 = (x + 16) ft
Total area of the pool with walkway = 950 sq.ft
length * width = 950
(x+16) * (x + 10) = 950
Use FOIL method,
x*x + x *10 + 16*x + 16 *10 = 950
x² + 10x + 16x + 160 -950 = 0 {Add like terms}
x² + 26x - 790 = 0
Answer:
y = 2x² - 5x + 7
Step-by-step explanation:
General form of a quadratic is:
y = Ax² + Bx + C
Using the given points, construct equations and solve for A,B and C.
When x = 0, y = 7
7 = A(0)² + B(0) + C
C = 7
y = Ax² + Bx + 7
When x = -1, y = 14
14 = A(-1)² + B(-1) + 7
A - B = 7
A = 7 + B
When x = 1, y = 4
4 = A(1)² + B(1) + 7
A + B = -3
(7 + B) + B = -3
2B = -10
B = -5
A = 7 + (-5)
A = 2
y = 2x² - 5x + 7
We know that
if <span>the probability of hitting the blue circle is the same as the probability of hitting the green region
then
the area of the blue circle is equal to the area of the green region
Let
x----> diameter of the blue circle
area of the blue circle=pi*(x/2)</span>²----> (pi/4)*x² m²-----> equation 1
area of the green region=area of the larger circle-area of the blue circle
area of the green region=pi*(1/2)²-(pi/4)*x²
=(pi/4)-(pi/4)*x² m²----> equation 2
equate equation 1 and equation 2
(pi/4)*x²=(pi/4)-(pi/4)*x² -----> divide by (pi/4)---> x²=1-x²
2x²=1-----> x²=1/2----> x=1/√2-----> x=√2/2 m
the diameter of the blue circle is √2/2 m
cones
cylinders
spheres
Step-by-step explanation:
The question was worded incorrectly and instead of giving the options it gave you the answers
