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That is the correct answer
Answer:
2 sides of the patio are 9ft and another 2 sides are 15ft
Step-by-step explanation:
To solve this problem we have to know thata rectangle has 4 sides and 2 of them are equal to each other
This is the formula to calculate perimeter
p = perimeter 48 ft
a = side a = 9 ft
b = side b
p = 2a + 2b
we replace the known values
48ft = 2*9ft + 2b
48ft = 18ft + 2b
48ft - 18ft = 2b
30 / 2 = b
15 = b
2 sides of the patio are 9ft and another 2 sides are 15ft
K=1/3
simplify each bracket, put all numbers on the left hand side, equal it to 0 and solve for k
Answer:
The volume of the prism is 
Step-by-step explanation:
we know that
The volume of the prism is equal to
where
B is the area of the triangular base
L is the length of the prism
we have
<em>Find the area of the base B</em>
The area of a equilateral triangle is equal to
substitute
Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.
