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3 years ago

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Mathematics

1 answer:

tangare [24]3 years ago

8 0

The answer would be the first phrase.

3x is 3 times x, and +4 is the sum of 3x and 4.

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Dustin is standing at the edge of a vertical cliff, 40 meters high, which overlooks a clear lake. He spots a fluffy white cloud

Licemer1 [7]

Answer:

53.33 meters

Step-by-step explanation:

Let AB represents the height of the cliff,

( where, A is top and B is bottom ),

Also, C and D represents the shadow of the cloud and cloud in the sky respectively,

Suppose E is a point in the segment CD,

Such that,

AB = DE = 40 meters,

According to the question,

$m\angle CAE = 30^{\circ}$

$m\angle EAD = 60^{\circ}$

Since,

$\tan =\frac{\text{Perpendicular}}{\text{Base}}$

$\implies \tan 60^{\circ}=\frac{DE}{AE}$

$\sqrt{3}=\frac{40}{AE}$

$\implies AE = \frac{40}{\sqrt{3}}$

Now,

$\tan 30^{\circ}=\frac{CE}{AE}$

$\frac{1}{\sqrt{3}}=\frac{\sqrt{3}CE}{40}$

$\implies CE = \frac{40}{3}$

Hence,

The height of the cloud above the lake = CE + ED

$=\frac{40}{3}+40=13.33+40 = 53.33\text{ meters}$

3 0

3 years ago

If -7(y-3)= -14 what is the value of y

Serga [27]

The value of y would be 5.

5 0

3 years ago

There are 11 counters in a bag.

-Dominant- [34]

Answer:

For a green and a blue P1 = 8/11 * 3/10 = (80 * 33) / 110^2 = .218

For a blue and a green P2 = 3/11 * 8/10 = (30 * 88) / 110^2 = .218

The probabilities are the same

3 0

3 years ago

Pls help me with this question and explain how u got the answer!!!

Gre4nikov [31]

Answer:

Step-by-step explanation:

There are 26 letters in the alphabet. Take 325 and divide it by 26 to get an answer of 12.5. We can round this number to 13. Therefore, the 13th letter in the alphabet is M and will be your answer.

5 0

3 years ago

Which expression has exactly two terms 4n Ab2 5y2 3x5

mojhsa [17]

The expression 5 y 2 has exactly two terms

4 0

3 years ago

Read 2 more answers