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givi [52]
3 years ago
13

A pole, 4m high, stands, vertically, on

Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

Answer:

Length of the shadow of the pole is 6.93 metres

Step-by-step explanation:

Given:

Height of the pole = 4 m

The angle sun makes with the horizontal = 30 degrees

To Find:

Length of the shadow of the pole = ?

Solution:

The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta

Let x be the length of the shadow

According to the tangent ratio

tan {\theta} = \frac{opposite}{adjacent}

On substituting the values,

ta( {30^{o}) = \frac{4}{x}

x  = \frac{4}{tan ({30^{o})}}

x =\frac{4}{0.57735027}

x  = 6.93 m

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vladimir2022 [97]

Answer:

225\:\text{minutes}

Step-by-step explanation:

To navigate through this problem, start by finding how much each senator can complete in a fixed amount of time. I'll choose 10 as it's the greatest common factor of 30 and 50.

In 10 minutes, the junior senator can complete \frac{10}{50}=\frac{1}{5} of the labyrinth.

In 10 minutes, the senior senator can complete \frac{10}{30}=\frac{1}{3} of the labyrinth.

Therefore, working together, they can complete \frac{1}{5}+\frac{1}{3}=\frac{8}{15} of the labyrinth in 10 minutes. Thus, it will take them \frac{15}{8}\cdot 10 \text{ minutes}=18.75\:\text{minutes} to complete one labyrinth.

The amount of time it take them to complete 12 labyrinths is then 18.75\cdot 12 =\boxed{225\:\text{minutes}}

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2 years ago
Three is added to a number, and then the sum is multiplied by 4. The result is 16. Find the number.
pentagon [3]
x-\ number\\\\
4(3+x)=16\\
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4x=16-12\\
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x=1\\\\ \textbf{Number\ is\ equal\ to\ 1.}
7 0
3 years ago
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Consider U = {x\x is a real number}
zysi [14]

Answer:

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Step-by-step explanation:

Given that,

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B={x| x∈ U and 2x>10}

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Similarly, If 5∈ B, Then it will be satisfies 2x>10 , but 2.5=10.

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If 6∈ A, Then it will be satisfies x+2>10 , but 6+2<10.

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