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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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Answer:

25

Step-by-step explanation:

Once the negative value is taken away, it's the largest number out of the bunch.

7 0
2 years ago
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-(1+7x)=6(-7-x)+36 <br> Alg 2
olganol [36]

Let's solve your equation step-by-step.

−(1+7x)=6(−7−x)+36

Step 1: Simplify both sides of the equation.

−(1+7x)=6(−7−x)+36

−7x+−1=(6)(−7)+(6)(−x)+36(Distribute)

−7x+−1=−42+−6x+36

−7x−1=(−6x)+(−42+36)(Combine Like Terms)

−7x−1=−6x+−6

−7x−1=−6x−6

Step 2: Add 6x to both sides.

−7x−1+6x=−6x−6+6x

−x−1=−6

Step 3: Add 1 to both sides.

−x−1+1=−6+1

−x=−5

Step 4: Divide both sides by -1.

−x

−1

=

−5

−1

x=5

Answer:

x=5

7 0
2 years ago
Use the quadratic formula to find the exact solutions of x2 − 9x + 5 = 0.
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

All those words, when the math is so much clearer!

x = (9±√(9^2-4*1*5))/2 = (9±√101)/2

7 0
3 years ago
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Ami'yan runs every day for exercise at a rate of 1 kilometer every 15 minutes. How many meters does he run in 1 hour? - Thank yo
Alona [7]

Answer:

The total distance covered in 1 hour  is 4000 meters.

Step-by-step explanation:

The distance Ami'yan runs is 15 minutes = 1 kilometer

Using the unit formula,

The distance ran in 1 minute = (\frac{1}{15} ) \textrm{Kilometer}

Now, 1 hour = 60 minutes

⇒The distance covered in 60 minutes =  60 x (Distance run in 1 minute)

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So, the distance covered in 1 hour  = 4 kilometer

1 kilometer = 1000 meters

⇒ 4 km =  4 x 1000 meters = 4000 m

Hence, the total distance covered in 1 hour  = 4000 meters.

6 0
2 years ago
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3/4=0.75
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