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2 years ago

Which of the following expressions is equivalent to (–7)5?

Mathematics

1 answer:

Vinvika [58]2 years ago

5 0

Answer:

Step-by-step explanation:

(-7)5 is the same as saying you're multiplying -7 5 times by its self.

Hope this helps!!

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Solve for T: R = X - T please help Me!!

777dan777 [17]

The answer to the question

3 0

3 years ago

The altitude of an equilateral triangle is 5 cm. what is the length of a side of the triangle?

Grace [21]

Answer:

The length side of the triangle is $\frac{10\sqrt{3}}{3}\ cm$

Step-by-step explanation:

we know that

The equilateral triangle has three equal sides and three equal internal angles of measure of 60 degrees each.

Let

b------> the length side of the equilateral triangle

Applying Pythagoras theorem

$b^{2}=(b/2)^{2}+5^{2}\\\\ b^{2}-(b/2)^{2}=25\\\\ (3/4)b^{2}=25\\ \\b^{2} =25*4/3\\ \\b=\frac{10}{\sqrt{3}}\ cm\\ \\b=\frac{10\sqrt{3}}{3}\ cm$

3 0

3 years ago

How do i find the volume of these similar solids? round to the nearest tenth HELP

FromTheMoon [43]

Answer:

The volume of the larger solid is $592.6\ mm^3$

Step-by-step explanation:

The question is

If these solids are similar, find the volume of the larger solid

step 1

Find the scale factor

we know that

If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

x ----> the height of the larger solid in mm

y ----> the height of the smaller solid in mm

z ---> the scale factor

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

we have

$x=4\ mm\\y=3\ mm$

substitute

$z=\frac{4}{3}$ ---> scale factor

step 2

Find the volume of the larger solid

we know that

If two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

x ----> the volume of the larger solid in cubic millimeters

y ----> the volume of the smaller solid in in cubic millimeters

z ---> the scale factor

$z^3=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=250\ mm^3$

substitute the values

$(\frac{4}{3})^3=\frac{x}{250}$

solve for x

$(\frac{64}{27})=\frac{x}{250}$

$x=250(\frac{64}{27})$

$x=592.6\ mm^3$

4 0

2 years ago

Which angle is NOT congruent to <4

lions [1.4K]

Hi! Can you try sending a picture of the figure that this is referring to, so I can try answering the question?

7 0

2 years ago

How do you plot 2 2/3 on a number line?

Nastasia [14]

Answer:

find 2 then from 2 and 3 find about 2/3 of the way from 2-3 and plot it there

Step-by-step explanation:

5 0

3 years ago