Answer:
y = 112
Step-by-step explanation:
If y varies directly as the square of x
mathematically;
y ∝ x²
y = kx² where 'k' is the constant of proportionality
let u know the value of k for this equation by making k the subject of the formular from y = kx²
divide both sides by x²
k = y / x²
given that y = 567 x = 9
k = 567/(9)²
k = 567/81
k = 7
now to get the value of y when x = 4
from the equation conneting x, y,
y = kx²
y = 7 × (4)²
y = 7 × 16
y = 112
Answer:
x = 133
y = 43
Step-by-step explanation:
x + 47 = 180
so x is 133
47 + y = 90
so y is 43
Start by finding the area of the base.
A = lw
A = 3 x 3
A = 9 square feet.
Sides use the formula of a triangle: 1/2bh
A = 1/2bh
A = 1/2(3)(5)
A = 1/2(15)
A = 7.5
Next, there are 4 sides, so multiply the side area by 4.
7.5 * 4 = 30 square feet.
Lastly add all surface areas together:
30 + 9 = 39 square feet.
Answer:
Step-by-step explanation:
The basketball and football are spherical in shape.
The formula for determining the volume of a sphere is expressed as
Volume = 4/3 × πr³
Where
r represents radius of the sphere.
π is a constant whose value is 3.14
Considering the basketball,
Radius = 10 inches
Volume = 4/3 × 3.14 × 10³ = 4186.67 inches³
Considering the soccer ball,
Radius = 9 inches
Volume = 4/3 × 3.14 × 9³ = 3052.08 inches³
The difference between the volume of the basketball and the volume soccer ball is
4186.67 - 3052.08 = 1134.6 inches³
