Answer:
Step-by-step explanation:
In order to determine the number of
tiles she will need to cover the pyramid, we would apply the formula for determining the total surface area of a pyramid. It is expressed as
Total surface area = 1/2 × p × l + base area
Where
p represents the perimeter of the base
l represents the slant height of the triangular face
Since the base is a square, the perimeter, p is
12 × 4 = 48 feet
l = 15 feet
Base area = 12² = 144 ft²
Total surface area = (1/2 × 48 × 15) + 144 = 504 ft²
Since the artist decides to cover the metal structure with 1-foot square glass tiles, the number of tiles needed is
504/1 = 504 tiles
Answer:
14x
Step-by-step explanation:
Step 1: Collect like terms by adding their coefficients
(11+3)x
Step 2: Add the numbers
14x
Answer:
m = -1/3
Step-by-step explanation:
y = 3x-4
This is in slope intercept form
y = mx+b m is the slope and b is the y intercept
The slope is 3 and the y intercept is -4
We want the slope of a line that is perpendicular
Perpendicular lines have slopes that multiply to -1
Let m be the slope of the line that is perpendicular
3 * m = -1
Divide each side by 3
3m/3 = -1/3
m = -1/3
See picture for rough graph
Answer:
- a. E = {1, 2, 3, 4, 5, 6, 7, 8}
- b. A ∩ B = {2, 3}
- c. A ∪ B = {1, 2, 3, 4, 5, 7, 8}
Step-by-step explanation:
Locate the designated space on the diagram and list all the numbers in it.
a. E = {1, 2, 3, 4, 5, 6, 7, 8} . . . . all numbers in the rectangle
__
b. A ∩ B = {2, 3} . . . . where the circles overlap
__
c. A ∪ B = {1, 2, 3, 4, 5, 7, 8} . . . . only 6 is outside the circles
