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3 years ago

What is the value of x?

Mathematics

1 answer:

dexar [7]3 years ago

4 0

Answer:

x=28

Step-by-step explanation:

b=a $\sqrt{3}$

c=2a

$14\sqrt{3}$ =b

14=a

28=c

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HACTEHA [7]

Answer:

1. measure of angle E is 90 degrees

2. Measure of angle F + measure of angle G is 90 degrees

Step-by-step explanation:

Angle E is 90 degrees because it is marked as a right angle (the square)

A triangle has 180 degrees so if E is 90 degrees then the other 2 also have to equal 90 degrees

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2 years ago

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galben [10]

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EleoNora [17]

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3 years ago

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism? Show

Tju [1.3M]

Answer:

The volume of the rectangular prism is 19.25 inches³.

Step-by-step explanation:

Given:

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism.

Now, to find the rectangular prism's volume.

We first find the volume of a cube to fill in the rectangular prism.

The side length of the cube = $\frac{1}{2}\ inch.$

Now, to get the volume of cube we put formula:

$Volume=(side)^3\\\\Volume=(\frac{1}{2})^3 \\\\Volume=\frac{1}{8}\ inch^3.$

Thus, the volume of a cube is $\frac{1}{8} \ inch^3.$

Number of cubes = 154.

According to question, it takes 154 cubes to fill the rectangular prism.

So, to get the volume of prism we need to find the volume of 154 cubes.

Now, to get the volume of 154 such cubes we multiply the volume of a cube by number of cubes:

$\frac{1}{8}\times 154\\\\ =\frac{154}{8}\\\\ =19.25\ inches^3.$

Therefore, the volume of the rectangular prism is 19.25 inches³.

3 0

3 years ago

Write an equation in slop intercept form (y=mx+b) for the line that has a slope (m) of 12 and passes though the point (3,20)

navik [9.2K]

Answer:

y=12x-4

Step-by-step explanation:

To find the slope intercept form, we know the m(slope) but we need to find b.

y and x is given to us, so we can find b.

Plug in the numbers provided into the slope intercept form.

y=mx+b

20=(12)(2)+b

20=24+b

To find b, we have to get b by itself. So, we subtract both sides by 24.

-4=b

Now that we found b, we can plug this into the equation.

y=12x-4

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2 years ago