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3 years ago

Write an integer to represent this situation: A boat is sitting at sea level.

Mathematics

1 answer:

Bezzdna [24]3 years ago

8 0

Answer:

0 because 0 is sea level, anything below is negative and anything above is positive.

Step-by-step explanation:

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A rectangle is reduced by a scale factor of One-fourth.

prohojiy [21]

Answer:

$(\frac{4}{16})^2$

$\frac{12}{192}$

$(\frac{3}{12})^2$

Step-by-step explanation:

we know that

If two figures are similar, the the ratio of its areas is equal to the scale factor squared

In this problem

The scale factor is 1/4

Let

z ---> the scale factor

x ---> the area of the smaller rectangle

y ---> the area of the large rectangle

$z^2=\frac{x}{y}$

we have

$z=\frac{1}{4}$

substitute

$z^2=(\frac{1}{4})^2 =\frac{1}{16}$

<u><em>Verify each option</em></u>

a) we have

$\frac{4}{16}$

Compare with $\frac{1}{16}$

$\frac{4}{16} \neq \frac{1}{16}$

This option no show the ratio of the area of the smaller rectangle to the area of the larger rectangle

b) we have

$(\frac{4}{16})^2=\frac{16}{256}=\frac{1}{16}$

Compare with $\frac{1}{16}$

$\frac{1}{16} = \frac{1}{16}$

This option show the ratio of the area of the smaller rectangle to the area of the larger rectangle

c) we have

$\frac{12}{192}=\frac{1}{16}$

Compare with $\frac{1}{16}$

$\frac{1}{16} = \frac{1}{16}$

This option show the ratio of the area of the smaller rectangle to the area of the larger rectangle

d) we have

$(\frac{4}{12})^2=\frac{16}{144}=\frac{1}{9}$

Compare with $\frac{1}{16}$

$\frac{1}{9} \neq \frac{1}{16}$

This option no show the ratio of the area of the smaller rectangle to the area of the larger rectangle

e) we have

$(\frac{3}{12})^2=\frac{9}{144}=\frac{1}{16}$

Compare with $\frac{1}{16}$

$\frac{1}{16} = \frac{1}{16}$

This option show the ratio of the area of the smaller rectangle to the area of the larger rectangle

6 0

4 years ago

Read 2 more answers

A boat travels 20 km upstream in a river

IgorLugansk [536]

Answer:

Speed

Step-by-step explanation:

Speed is given . Divide Speed by time . You will get your answer

7 0

3 years ago

What is the factored form of 3x+24y?

timofeeve [1]

Answer:

3(x + 8y)

Step-by-step explanation:

Find the GCF:

Factors of 3: 3, 1

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Since 3 is the greatest common factor, it is the GCF.

Factor using this number:

3x + 24y

(divide by 3 to see what numbers + variables will be in the parentheses)

3x + 24y

/3 /3

x + 8y

Factor:

3(x + 8y)

7 0

4 years ago

Read 2 more answers

What is the recursive rule for this geometric sequence?

Elodia [21]

I pretty sure this is right

5 0

4 years ago

What is the equation of a line passing through (-3, 7) and having a slope of -1/5?

andrey2020 [161]

Thank you for coming to Brainly with your questions!

I believe the answer is:

$y = - \frac{1}{5} x + 6 \frac{1}{5}$ . The equation to find this is:
y - y1 = m(x - x1). So you plug in the slope for "m", the x coordinate for "x1" and the y coordinate for "y1". After you do that, it should look like this:

$y - 7 = - \frac{1}{5} - 1 \frac{1}{5}$ .

Then you just add 7 to both sides to get y by itself, so that is how I got the answer.

I hope this helps you! Please mark Brainliest! Lemme know if I can help you with any further questions!

-Belle

8 0

3 years ago