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3 years ago

Find the slant height of a square pyramid with base edges of 12 cm and an altitude of 8 cm?

2 answers:

8 0

To find the slant height we must take apart the pyramid first. Let us cut it in half. There we can easily see that the slant height is really just the hypotenuse of the triangle formed by half the base and the altitude.

Half the base length would be 6 cm.

Using the Pythagorean therom:

a² + b² = c²
6² + 8² = c²
36 + 64 = c²
100 = c²
c = 10

The slant height should be 10 cm. Hope this helps!

Mashcka [7]3 years ago

4 0

The answer is 10 centimeters.

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USPshnik [31]

Answer: m = –3±√ 5

−b±√b2−4ac

−(6)±√(6)2−4(1)(4)

2(1)

−6±√20

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3 years ago

Find the slope of the line that passes through (3, 5) and (1, 14).

Advocard [28]

Answer:

- 9/2

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3 years ago

Zar has 3 pizzas cut into 9 slices. Imani has 3 times more slices than Zar. How many more slices does Imani has more then Zar

maks197457 [2]

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3 years ago

Order these objects from heaviest to lightest. (Note: 1 pound = 16 ounces, 1 kilogram ≈ 2.2 pounds ,and 1 Tom = 2,000 pounds) it

Leya [2.2K]

Answer:

Ordering of objects from heaviest to lightest are ⇒ <u> school bus weight 9 tons, elephant 5,500 kilograms, horse 1,100 pounds and grand piano 15,840 ounces.</u>

Step-by-step explanation:

Given:

School bus weight = 9 tons.

Horse = 1,100 pounds.

Elephant = 5,500 kilograms.

Grand piano = 15,840 ounces.

Now, order these objects from heaviest to lightest.

So, we need to take a common unit to order the items:

Thus, we take pounds as a common unit.

16 ounces = 1 pound.

1 kilogram = 2.2 pounds.

1 ton = 2,000 pounds.

Then, we calculate the weight of all items in pounds:

School bus 9 tons $=9\times 2000=18000\ pounds.$

Horse 1100 pounds $=1100\ pounds.$

Elephant 5500 kilograms $=5500\times 2.2=12100\ pounds.$

Grand piano 15840 ounces $=15840\div 16=990\ pounds$

According to question:

Ordering from heaviest to lightest:

<em>School bus = 18000 pounds, elephant = 12100 pounds, horse = 1100 pounds and grand piano = 990 pounds.</em>

Therefore, ordering of objects from heaviest to lightest are ⇒ school bus weight 9 tons, elephant 5,500 kilograms, horse 1,100 pounds and grand piano 15,840 ounces.

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3 years ago