A = L * W
Given:
L = x + 10 and W = x + 15
So
A = (x + 10)(x + 15)
A = x^2 + 10x + 15x + 150
A = x^2 + 25x + 150
Answer
x^2 + 25x + 150
Answer:
4x^2
Step-by-step explanation:
Call the unknown side y
The area of the figure is
8x^3 *y = 32 x^5
Divide each side by 8 x^3
8x^3 *y / 8x^3 = 32 x^5 / 8x^3
y = 4 x^2
The unknown side is 4 x^2
y ≤ - 1.6x + 6 and pounds inequality: y ≥ - x - 4.
The process of finding out the variable value that makes the equation true is called 'solving' the equation. An equation is a statement that two quantities are equivalent. For exp/example:. x + 1 = 4 mean that when we add 1 to the unknown value, 'x', the answer is equal to 4 .
Answer:
2√6 m
Step-by-step explanation:
The formula for the vol. of a cone is V = (1/3)(area of base)(height).
Here, V = 20π m³ = (1/3)(area of the base)(10 m)
We need to solve for (area of the base).
Multiplying both sides of this equation by (3/10) results in:
(3/10)(20 π m³) = (area of the base)
This simplifies to 6π m² = (area of the base)
We still must find the diameter of the base. Let's find the radius of the base first: The formula for the area of a circle is A = πr². Here we have 6π m² = πr², which tells us that r² = 6 m². Since d = 2r, and r = d/2, r² = d²/4. Then the equation 6 m² = r² becomes:
6 m² = d²/4.
Solve this for d. Multiplying both sides by 4, we get:
24 m² = d²2, and d = √(24 m²) = 2√6 m
The cone diameter is 2√6 m.
