Georgia will use the pattern shown to make a square pyramid out of cardboard. The square pyramid will not have a bottom. How muc
h cardboard will she need if a = 14 in. and b = 9 in.? PLEASE HELP
2 answers:
Answer:
252 square inches
Step-by-step explanation:
Georgia needs 4 triangles, each of which has a base of 9 inches and a height of 14 inches. The area of a triangle is ...
A = (1/2)bh
so one face of Georgia's pyramid will have an area of ...
A = (1/2)(9 in)(14 in) = 63 in^2
Then all four faces will have a total area of ...
(63 in^2) · 4 = 252 in^2
_____
Comment on the pattern
The pattern shown includes the base of the pyramid. The problem text says the base is not included. We have assumed that the base is not included. (For Georgia's pyramid, a different pattern would be more to the point: see attachment.)
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Answer:
Step-by-step explanation:
Check the attachment the solution of the work is given there
The height of the triangle that forms the train track is 145,38 ft
<h3>How to calculate the height of the triangle?</h3>To calculate the height of the triangle we must take into account the information provided by
- Base of the triangle = 1 mile = 5280 feet
- Railroad track expansion = 8 feet
According to the above, we must perform the following operations:
- 5280 ÷ 2 = 2640
- 8 ÷ 2 = 4
- 2640 + 4 = 2644
Subsequently, we must apply the Pythagorean theorem to find the height of the triangle having 2 data:
- Base: 2640ft
- Hypotenuse: 2644 ft
- 2644² = x² + 2640²
- x² = 2644² - 2640²
- x =
.
- x =
- x = 145,38 ft
That makes x approximately 145,38 ft.
Learn more about triangles in: brainly.com/question/2269348