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4 years ago

Regular triangular pyramid has the slant height k=12 cm and lateral area AL = 198 cm2. Find the length of the base edge.

2 answers:

6 0

To find this answer you will use the formula for finding the area of the triangle because that shape is a triangle.

A = 1/2 bh
198 = 1/2 x b x 12
198 = 6b
b = 33 cm

We know the total area and we know the slant height is 12 cm so we substitute these in and solve for h.

The length of the base edge is 33 cm. You should substitute this back in to check.

1/2 x 33 x 12 = 198 square cm.

NNADVOKAT [17]4 years ago

3 0

Answer:

The Answer is: 11 cm

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3 years ago

The Hayes family and the Rodrigues family use their sprinklers last summer. The water output rate for the Hayes family sprinkler

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Answer:

Hayes family: 35 hours
Rodrigues family: 40 hours

Step-by-step explanation:

Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.

15x +30y = 1725 . . . . . total liters of use

x + y = 75 . . . . . . . . . total hours of use

The second equation lets us write an expression for y:

y = 75 -x

This can be substituted into the first equation to give ...

15x +30(75 -x) = 1725

-15x + 2250 = 1725 . . . . . . simplify

-15x = -525 . . . . . . . . . . . subtract 2250

x = 35 . . . . . . . . . . . . . . divide by -15

y = 75 -35 = 40

The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.

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