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zaharov [31]
3 years ago
15

The surface area of a triangular pyramid is 96.6 square centimeters. The side lengths of the base are 6 centimeters, and the hei

ght of the base is 5.2 centimeters. What is the slant height?
Geography
1 answer:
guajiro [1.7K]3 years ago
4 0
<span>Using the formula 1/2*b*h for the area of a triangle, we get 7.8 cm^2 as the area of the base. Now let us assume that the three faces of the pyramid are of the same dimensions. So by subtracting 7.8 from the total surface area and dividing by 3, we get a face area of 29.6 cm^2. We get a height of 19.73 cm (using a "base" of 3 cm). Using half of the face of the pyramid (a right triangle) and applying some trigonometry (19.73 cm/sin 60) we get 22.78 cm as the slant height of the pyramid.</span>
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Elena L [17]

Answer:

1-false, since its shape is only elliptical

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4-true, since elliptical galaxies have new and old stars and irregular ones almost all new stars

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7 0
3 years ago
Tommy and Erin are building a skateboard ramp. They want the ramp to be 3 feet tall and 5 feet long.
BARSIC [14]

Answer:

Full question is attached.

Tommy's reasoning is wrong because the hypotenuse is not 5 feet.

A skateboard ramp resembles a right angles triangle so its sides resemble that of a right angled triangle.

The height of 3 feet would be the height of the triangle.

The length of 5 feet would be the length of the triangle.

The piece of plywood that would cover the top of the frame would be the hypotenuse.

In using the Pythagoras rule, the c is the hypotenuse but Tommy made the mistake of assuming that the hypotenuse was b which is where the error came from.

Instead of solving for b, they should have been solving for c which is the hypotenuse.

a² + b² = c²

3² + 5² = c²

9 + 25 = c²

c² = 34

c = √34

c = 5.83 feet

They should use a plywood of 5.83 feet not 4 feet.

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3 years ago
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Oh gotcha. that would be an anticline.
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