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:
39
Step-by-step explanation:
Angles are supplementary when they add up to 180. So, we know the other angle that isn't 58 is 
. Therefore, 
Answer:
6.75
Step-by-step explanation:
h=hat, s=scarf
5h + 1s = $47 (equation 1)
2h + 2s = $40 (equation 2)
multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)
equation 3 minus equation 2, we get:
8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75
substitute h = $6.75 into equation 2 to find s,
2($6.75) + 2s = $40
$13.5 + 2s = $40
2s = $26.5
s = $13.25 ⇔ 1 scarf cost $13.25
Driving for 2 hours and 45 minutes at an average speed of 60 miles per hour.
2 hours and 45 minutes = 2 hours and 45 minutes 0r 2.75 hrs _________ 60minutes
D = rt = 60mph *2.75hr = 165mi
Factor out the largest perfect square of 32.
( in this example we factored out 16 )
Rewrite
____
/16⋅2
as the product of two radicals.
The square root of 16 is 4.
Divide numerator and denominator by 4.
