Answer:
T.A. = 144 + 36√3 units²
Step-by-step explanation:
∵ The total surface area of the pyramid = the sum of the area of
the four faces (one base and 3 side faces)
∵ The 3 side faces have the same dimensions 12 , 10 , 10
∴ the area of the 3 faces = 3 × 1/2 × 12 × h
∵ The height of each triangle is ⊥ to its base
∵ The triangle are isosceles
∴ The height bisects the base
∴ h² = 10² - 6² = 64
∴ h = √64 = 8
∴ The area of the 3 triangles = 3 × 1/2 × 12 × 8 = 144 units²
∵ The base is equilateral Δ with side length 12
∵ Area equilateral triangle = 1/4 × s² × √3
∴ The area of the base = 1/4 × (12)² × √3 = 36√3 units²
∴ T.A. = 144 + 36√3 units²
The brackets are first, then the multiplication
9. You can easily get rid of the decimal fraction by multiplying by 10. This will move the decimal point one place to the right in each number.
However, since all the decimal fractions are even numbers of tenths, you can also turn them to integers by multiplying by 5:
... 3x +24 = 36
_____
10. If you can't describe what the parts of your equation represent, you have no business writing it. Saying you can't describe your equation is the same as saying you don't understand the problem.
It is important to be able to describe the parts of the equation just as it is important to be able to say what the problem is telling you, what it is asking, and what your strategy is for solving it. The parts of the equation are intimately tied with those things: they embody the given information and the strategy of your solution.
Answer:
G(-6) = -29
Step-by-step explanation:
plug -6 into the equation
G(-6) = 5(-6) +1
multiply
G(-6) = -30+1
add
G(-6) = -29
