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Katena32 [7]
3 years ago
11

Help plz it’s Liberal Arts mathematics

Mathematics
1 answer:
gregori [183]3 years ago
7 0

For #6, x=-3, add 4 to both sides, divide by 2. #7 is 8, #8 is 3, #9 is 3, #10 is -5.

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A diagonal of a cube measures StartRoot 294 EndRoot cm. The diagonal of a face measures 14 cm. What is the length of an edge of
hram777 [196]

The side of the edge of the cube is 9. 9cm

<h3>How to determine the length</h3>

Given that the diagonal of a cube measures the square root of 294cm and the diagonal of a face measures 14cm

To find the edge of the face, we know that the face of the cube is a square

Formula for diagonal of a square = \sqrt{2a}

Where is the side of the square

We then have,

\sqrt{2a}  = 14

Make 'a' the subject

a = \frac{14}{\sqrt{2} }

Simplify the surd

a = \frac{14}{\sqrt{2} } × \frac{14}{\sqrt{2} }

a = \frac{14\sqrt{2} }{2}

a = 7\sqrt{2}

a = 9. 9cm

Therefore, the side of the edge of the cube is 9. 9cm

Learn more about a cube here:

brainly.com/question/1972490

#SPJ1

5 0
1 year ago
Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not draw
Aleonysh [2.5K]

Answer:

x=25

Step-by-step explanation:

we know that

In this problem

The value of x represent the radius of the circle

so

Applying the Pythagoras theorem in the right triangle of the figure, you can find the radius of the circle O

see the attached figure to better understand the problem

x^{2} =20^{2}+15^{2}

x^{2} =400+225

x^{2} =625

square root both sides

x=25

8 0
3 years ago
What is Z +9÷4 = 2 .1
zepelin [54]
The picture below explains how to get your answer 
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3 0
3 years ago
Darin jogs at a rate of 7.5 miles per hour. How many miles per minute does Darin jog?
Svetlanka [38]
It would be 7.5/60 which equals .125
4 0
2 years ago
The Malcolms are taking a trip. Midville is 214 miles
Juliette [100K]

Answer:

642 miles

Step-by-step explanation:

Distance of Midville from their home = 214 miles

Walesburg is 3 times as far.

How far is Walesburg from their home?

Distance of Walesburg from their home = 3 × Distance of Midville from their home

= 3 × 214 miles

= 642 miles

Distance of Walesburg from their home = 642 miles

8 0
3 years ago
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