Answer:
She sold 5.775 kilograms of pears at the farmer's market.
Step-by-step explanation:
Let's first determine the information that the question gives us, and what we need to find.
Given:
The farmer sold 7.7 kilograms of apples and pears
1/4 of the weight is apples
The rest of the weight is pears
Find:
Kilograms of pears that the farmer sold
Start by finding the fraction of the whole weight that was pears...
Now, find 3/4 of 7.7...
She sold 5.775 kilograms of pears at the farmer's market.
Answer:
(x - 12)(x² - 2)
Step-by-step explanation:
Given
x³ - 12x² - 2x + 24 ( factor the first/second and third/fourth terms )
= x²(x - 12) - 2(x - 12) ← factor out (x - 12) from each term
= (x - 12)(x² - 2)
Answer:
• lateral area: 36√3 square units
• total surface area: (36 +36√3) square units
Step-by-step explanation:
The area of an equilateral triangle of side length s is given by ...
A = (√3)/4·s^2
Your pyramid has four (4) such faces of side length 6 units, so the total (lateral) area of the triangular faces is ...
LA = √3·(6 units)^2 = 36√3 square units
___
Of course the area of the square base is simply the square of its edge length, so is ...
A = (6 units)^2 = 36 square units
That means the total surface area, the lateral area plus the base area, is ...
(36 +36√3) square units
Answer:
42
Step-by-step explanation:
First I'm going to assume that C and A are perpendicular.
Because its perpendicular, this creates a 90 degree angle which can be used to create the following equation.
Reduce
11x = 88
x = 8
We then plug in 8 into the equation 6x - 6 in order to solve for that angle.
6(8) - 6
42
