Answer:
<h2>The area of the base is 144 square inches.</h2><h2>The area of each triangular face is 66 square inches.</h2><h2>Grabiel needs 408 square inches of paint.</h2>
Step-by-step explanation:
The complete problem is attached.
Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of

The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face

But there are four triangle faces, so
.
Therefore, the area of each triangular face is 66 square inches.
So, the total surface area would be the sum

Therefore, Gabriel needs 408 square inches to paint the whole model.
Total cost = 62 + (6% of 62) + (20% of 62)
- Find 6% of 62:
1% = 62 / 100 = 0.62
0.62 x 6 = 3.72
- Find 20% of 62:
10% = 6.2
6.2 x 2 = 12.4
Add everything together:
62 + 12.4 + 3.72 = 78.12
The total cost was $78.12
Answer:
1/-5 should be the answer
Answer: 118 feet
Step-by-step explanation:
For a rectangular shape: Area = W × L
450 = 9 × L
450 ÷ 9
L = 50
Perimeter of a rectangular shape = 2L + 2W
Perimeter = (2 × 50) + (2 × 9)
= 100 + 18 = 118 feet
Answer:
17.96m/s
Step-by-step explanation:
Based on law of conservation of momentum;
m1u1 +m2u2 =(m1+m2)v
v is the velocities of the car after impact
Substitute the given values
1300(20)+900(15) = (1300+900)v
26000 + 13500 = 2200v
39500 = 2200v
v = 39500/2200
v = 17.96m/s
Hence the speed of the cars after impact is 17.96m/s