The length of the missing side is: ?m

Mathematics

1 answer:

victus00 [196]2 years ago

6 0

Answer:

85 ft

Step-by-step explanation:

for all right triangles, triangles with a 90 degree angle, the sides are equal to $a^{2} + b^{2} = c^{2}$ where c is the hypotenuse, or the longest side.

so... $40^{2} + 75^{2} = c^{2}$

$7225 = c^{2}$

c= 85

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To create a giant gemstone, sara first made two identical square pyramids that each had a base area of 100 square inches. Then s

inysia [295]

Answer:

8 inches.

Step-by-step explanation:

From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.

Ab = s ^ 2 = 100

Therefore each side would be:

s = (100) ^ (1/2)

s = 10

So, side of the square base = 10 inches

Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:

Ap = 520/2 = 260

For an area of the square pyramid we have the following equation:

Ap = 2 * x * s + s ^ 2

Where x is the height of each triangular surface and s is the side of the square base

Replacing we have:

260 = 2 * x * 10 + 10 ^ 2

20 * x + 100 = 260

20 * x = 160

x = 160/20

x = 8

Therefore, the value of x is 8 inches.

5 0