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Nikitich [7]
1 year ago
7

What is the height, x, of the equilateral triangle?

Mathematics
1 answer:
e-lub [12.9K]1 year ago
7 0

Using the Pythagorean Theorem, the height of the equilateral triangle is given by:

A. h = 7\sqrt{3} inches.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs l_1 and l_2 of a right triangle with the length of the hypotenuse h, according to the following equation:

h^2 = l_1^2 + l_2^2

For this problem, we have that:

  • The height is one side of the triangle.
  • The other side is half the length, of 7 in.
  • The hypotenuse is the length, of 14 in.

Hence the height is found as follows:

h^2 + 7^2 = 14^2

h = \sqrt{147}

h = \sqrt{49 \times 3}

h = 7\sqrt{3} inches.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

#SPJ1

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What expression is equivalent to -7x+4+3x
Inessa [10]

Answer:

- 4x + 4

Step-by-step explanation:

-7x + 4 + 3x \\-7x + 3x + 4 \\- 4x + 4

8 0
3 years ago
Solve for x: 1 &lt; X + 3 &lt; 4
sveta [45]

Answer:

for soln 1: X < -2; for soln 2: X < 1

Step-by-step explanation:

This is two set problem involving inequality. Therefore, you have to solve for each side of the inequality to know the values of X for each sides.

1 < X + 3 < 4

Soln 1. solve for the first side of the inequality

1 < X + 3

1 - 3 < X

-2 < X

X > -2

soln 2: solve for the second side of the inequality

X +3 < 4

X < 4 - 3

X < 1

Therefore, X > -2; X < 1

6 0
2 years ago
The bed of a pickup truck measures 4 feet by 8 feet to the nearest inch, what is the length of the longest thin metal bar that w
Helga [31]

The bed of the truck is a rectangle, 4-ft wide and 8-ft long.

The diagonal of the rectangle is

                                 √ (4² + 8²)

                             =  √ (16 + 64)

                             =  √ (80)

                             =  8.9442... feet 

                        8.9442... feet =  8 feett  11.33 inches

Rounded to the nearest inch:    8 ft  11 in .   

4 0
3 years ago
52 divided by 5424
VladimirAG [237]

Answer:

52 / 5424 = 0.00958..

198 / 8549 = 0.0231 ..

Step-by-step explanation:

52 / 5424

First of all, you need to add 0 plus a coma → 0.

52 becomes 520, but this value is smaller than 5424, so we need to add another 0

5200 → another 0 → 52000

So now, we have 52000 / 5424.

We start,  5424 . 10 = 54240, we are higher than 52000, so let's try 9

5424 . 9 = 48816, great!

52000 - 48816 = 3184

This is smaller than 5424, so we need a zero, again. But we do not add 0 to the result, because we are in the decimal side

31840 → 31840 / 5424. We would try 6,

5424 . 6 = 32544. It's bigger!, We use 5

5424 . 5 = 27120!

31840 - 27120 = 4720. We get another 0

47200, and we try 8.

5424 . 8 = 43392

47200 - 43392 = 3808.

So we are going to add 0, until we have four digits that can be divided by 5424 and decimals are infinte.

52 / 5424 = 0.00958..

198 / 8549 → Need to add, the first 0 to convert 198 to 1980

1980 = 0. → Another zero

19800 = 0.0 → 19800 / 8549

We try 2 → 8549 . 2 = 17098

19800 - 17098 = 2702 → we add 0

27020 / 8549 → We try 3

8549 . 3 = 25647 → 27020 - 25647 = 1373 → we add 0

13730 / 8549 → We use 1 → 13730 - 8549 = 5181

As decimal are infinite, we can express the result as:

198 / 8549 = 0.0231 ..

7 0
3 years ago
Find the distance from the point (1,4) to the line y = 1/3x - 3.
soldi70 [24.7K]

Answer:

answer

is 6.325.............

3 0
2 years ago
Read 2 more answers
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