How do I solve for AB? (rounded to the nearest tenth)

Mathematics

1 answer:

kolbaska11 [484]2 years ago

7 0

Answer:

The answer would be 8.1

Step-by-step explanation:

For the smaller triangle, you use the pythagorean theorem. a squared + b squared = c squared.

To find one of the legs, you do 5 squared - 3 squared = b squared.

25 - 9 = b squared. (BD)

16 = b squared

4 = b

Now for the bigger right triangle. You still use the same tactic.

7 squared + 4 squared = c squared (which is AB)

49 + 16 = c squared

65 = c squared

That means c would equal: square root of 65, which is 8.0622577483 which rounds to 8.1

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Find the island height of a pyramid with a volume of 432 ft^3 if the base is a square with a side length of 12 ft. Round to the

dmitriy555 [2]

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But first, we have to find the height of this pyramid. The volume formula for a square pyramid is $A=\frac{lwh}{3}$ . Since we know its a square pyramid, the length and width are going to be the same (12 ft), and we know that the volume is 432 ft^3. Using this info, we can solve for the height:

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$6^2+9^2=s^2\\ 36+81=s^2\\ 117=s^2\\ 10.8=s$