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mixer [17]
3 years ago
11

Work out 5^-2 x 3 square root 8

Mathematics
1 answer:
Serjik [45]3 years ago
5 0

Answer:

6root(2)/25

Step-by-step explanation:

5^-2 = 1/25

3(root(8)) = 6(root(2))

so you get 6(root(2))(1/25)

= 6(root(2))/25

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Step-by-step explanation:

36 ÷ 6 = 6

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John is looking up at the top of the Empire State Building from 1 mi. away and measures the angle of elevation to be 11 degrees.
torisob [31]

Refer to the attached image.

Let the height of the Empire State Building = BC = 'x'

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The angle of elevation = 11°

In triangle ABC,

Consider \tan 11^{\circ}= \frac{Perpendicular}{Base}

\tan 11^{\circ}= \frac{BC}{AB}

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5 0
3 years ago
Charlie knows that 3 blocks are needed to make a tower that is 0.5 foot high.
iogann1982 [59]

Answer:

24 blocks will be needed to make the tower that is 4 feet high

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ Charlie knows that 3 blocks are needed to make a tower that is

   0.5 foot high

∵ He needs to make a tower that is 4 feet high

→ By using the ratio method

→  Blocks  :  height (ft)

→   3          :   0.5

→   x          :   4

→ By using the cross multiplication

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→ Divide both sides by 0.5 to find x

∵ \frac{0.5x}{0.5} = \frac{12}{0.5}

∴ x = 24

∵ x represents the number of blocks

∴ 24 blocks will be needed to make the tower that is 4 feet high

7 0
2 years ago
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