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Jet001 [13]
3 years ago
5

The base of a triangle is three times it's height. If the area of a triangle is 54 square inches ,find its height.

Mathematics
1 answer:
Aneli [31]3 years ago
3 0

The height of the triangle is: 6 inches

Step-by-step explanation:

Given

Area = A = 54 square inches

Let be be the base of the triangle and

h be the height

Then

b = 3h

The area of triangle is given by:

Area = 0.5 * base * height\\Putting\ values\\54 = 0.5 * 3h * h\\54 = 1.5h^2\\\frac{54}{1.5} = \frac{1.5h^2}{1.5}\\h^2 = 36

Taking square root on both sides

\sqrt{h^2} = \sqrt{36}\\h = 6

Hence,

The height of the triangle is: 6 inches

Keywords: Linear equations, square roots

Learn more about square root at:

  • brainly.com/question/8811218
  • brainly.com/question/7419893

#LearnwithBrainly

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Calculate the density of the object using the information in the picture. Question 5 options: 0.052 ml/g 19.2 g/ml 19.2 ml/g 139
olga_2 [115]

The density of an object is obtained by taking the ratio of the mass of the object and its volume ; Density = \frac{Mass}{Volume}

There is no picture attached and no picture corresponding to the question could be found.

  • However, the required formular for calculating the density of an object is :

  • Density = \frac{Mass}{Volume}

  • The mass of the object is measured in gram(g) or kilogram(kg)

  • The volume of the object measured in Litre or any equivalent unit.

Therefore, the density of the object is the ratio of its mass and volume.

Learn more :brainly.com/question/24386693?referrer=searchResults

8 0
2 years ago
The Pi Mu Epsilon mathematics honorary society of Outstanding Universitywishes to have a picture taken of its six officers. Ther
boyakko [2]

Answer:

720

Step-by-step explanation:

I will use the following counting principle:

Product rule: if there are n ways of doing something, and m ways of doing another thing, there are n×m ways of doing both things.

First, we have to choose the 3 people that will be in the first row. This is a 3-element subset of  the set of six people, therefore there are \binom{6}{3}=20 ways of doing this.

Now, we have to arrange the order of the 2 lrows. Each one has 3 people, so there are 3!=6 ways to form one rows. Hence, there are 3!²=36 ways of arranging the two rows.

By the product rule, there are 20×36=720 ways of arrange the officers.

8 0
3 years ago
I need the first one ASAP!
alukav5142 [94]
79.023 or 79 cubic inches
6 0
3 years ago
What is the area of the rectangle?
DiKsa [7]

Answer:

Area = 396 units²

Step-by-step explanation:

Let's assume:

Length = 2c - 5

Width = 5c + 9

Perimeter = 2(L + W) = 106 units

Thus:

2[(2c - 5) + (5c + 9)] = 106

Find the value of c

2[2c - 5 + 5c + 9] = 106

2[7c + 4] = 106

14c + 8 = 106

14c = 106 - 8

14c = 98

Divide both sides by 14

c = 98/14

c = 7

✔️Area of the rectangle = Length × Width

Area = (2c - 5)(5c + 9)

Plug in the value of c

Area = (2×7 - 5)(5×7 + 9)

Area = (14 - 5)(35 + 9)

Area = (9)(44)

Area = 396 units²

4 0
3 years ago
This is 20 pts. Please help. I need help on my homework due tomorrow...here are the questions and please show how to work out th
kenny6666 [7]

Answer:

1) 10^2 + 1

2) ?

3) 2(3^3) + 11

4) 16^2 - 79

Step-by-step explanation:

1) 101 = 100 +1 = 10^2 +1

2) ?

3) 173 = 81+81+11 = 3^3+3^3+11 = 2(3^3) +11

4) 177=256-79 = 16^2 -79

Pls mark Brainiest :)

3 0
3 years ago
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