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viva [34]
3 years ago
14

In the last​ year, a total of 2727 earthquakes occurred in the country. Of​ these, 85.3 % were minor tremors with magnitudes of

3.9 or less on the Richter scale. How many minor earthquakes occurred in the country in the last​ year? Round to the nearest whole number.
Mathematics
1 answer:
Komok [63]3 years ago
3 0

Answer:

Minor earthquakes occurred in the country in the last​ year were<u> 2326</u>.

Step-by-step explanation:

Given:

In the last​ year, a total of 2727 earthquakes occurred in the country.

Of​ these, 85.3 % were minor tremors with magnitudes of 3.9 or less on the Richter scale.

Now, to find the minor earthquakes occured in the country last year.

<em>Total earthquakes occurred in the country = 2727.</em>

<em>The percent of minor earthquakes = 85.3%</em>.

Now, to get the number of minor earthquakes:

85.3% of 2727.

=\frac{85.3}{100} \times 2727.

=\frac{232613.1}{100}

=2326.131

<em>The number of minor earthquakes nearest whole number = 2326.</em>

Therefore, minor earthquakes occurred in the country in the last​ year were 2326.

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The length of a rectangle is twice its width. If the perimeter of the rectangle is 54 in, find its area.
sergiy2304 [10]

Answer: 162 in²

Step-by-step explanation:

The factors of 54 are listed below:

  • 1
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18 and 9 are the two factors that when plugged into the equation below, equals 54:

l+l+w+w=P

This can also be written as:

(l*2)+(w*2)=P

So now that we have our two factors, we need to multiply them by each other to get our answer.

18 times 9 = 162

Our answer is 162

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1. what is the area of the board shown on the scale drawing? explain how you found the area.2. how can Adam use the scale factor
bixtya [17]

Answer:

1. 1800 square cm.

2. See below

3. 45000 square cm.

Explanation:

Part 1

The dimensions of the drawing are 36cm by 50cm.

\begin{gathered} \text{The area of the board}=36\times50 \\ =1800\operatorname{cm}^2 \end{gathered}

Part 2

Given a scale factor, k

If the area of the scale drawing is A; then we can find the area of the actual board by multiplying the area of the scale drawing by the square of k.

Part 3

\begin{gathered} \text{Area of the scale drawing}=1800\operatorname{cm}^2 \\ \text{Scale Factor,k=5} \end{gathered}

Therefore, the area of the actual drawing will be:

\begin{gathered} 1800\times5^2 \\ =45,000\operatorname{cm}^2 \end{gathered}

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