You have a 300 feet side length square and you need to calculate the length of the diagonal. When you split the square along one diagonal you get triangles, so you can apply Pythagoras' Theorem, with the hypotenuse as the needed diagonal.
a²+b²=c²
300²+300²=c²
2*300²=c²
√(2*300²)=c
√(2) * √(300²)=c
√(2) * 300=c
c~424.26 ft which is the solution/option c
8) v=1/3 x 6^2 x 11
= 132cm^3
10) 80ft^3
11) 72km^3
Hope this helps!!
The answer is 7
hope this helps!
Answer:
x = - 8, x = - 4
Step-by-step explanation:
Given
x² + 15x + 30 = 3x - 2 ( subtract 3x - 2 from both sides )
x² + 12x + 32 = 0 ← in standard form
Consider the factors of the constant term (+ 32) which sum to give the coefficient of the x- term (+ 12)
The factors are + 8 and + 4 , since
8 × 4 = + 32 and 8 + 4 = + 12 , then
(x + 8)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x + 4 = 0 ⇒ x = - 4
Factored it would be (2x + 3)(5x - 9)
