Answer:
a) Surface area = 616 cm²
b) Volume = V = 1083 cm³
Step-by-step explanation:
Surface area and volume of a regular triangular pyramid that has a base edge of 16 cm and a slant height of 15 cm
a) Formula for surface area = Base area × 1/2(perimeter × slant height)
Base area = Base edge²
=( 16 cm)² = 256 cm²
Perimeter = Base edge × 3
= 16 cm × 3 = 48 cm
Hence:
Surface Area = 256 cm² + 1/2(48 × 15)
= 256 cm² + 360 cm²
= 616 cm²
b) Volume = 1/3 × Base area × Height
1082.758616785cm³
Approximately = 1083 cm³
Answer:

Step-by-step explanation:
we are given that A vegetable garden and a surrounding as a shaped like a square that together a 11 ft wide. The path is 2 feet wide.since together the width of Vegetable garden and path is 11 ft, the width of the vegetables garden will be the difference between the total width and the width of path Thus,

simplify substraction:

recall that, every single side of a square is equal to each other therefore the the area of the garden will be

simplify square:

together the garden and path makes a square of every side length 11 ft saying that the area will be:

simplify square:

the area of path will be the difference between the total area and the garden area therefore,

simplify addition:

to figure out how many bags are needed to cover the path. we just need to divide the area of the path by the area of a bag of gravel and that yields:

simplify division:

hence,
<u>4</u> bags are needed to cover the path.
Answer:
-31
Step-by-step explanation:
a - 8x will change to (-7) - 8(3) = -31
Answer:
(b - 1) (5b - 6)
Step-by-step explanation: