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lakkis [162]
3 years ago
5

The area of the triangle below is 10.6 square centimeters. What is the length of the

Mathematics
1 answer:
CaHeK987 [17]3 years ago
3 0

Answer:

6 cm

Step-by-step explanation:

The area of a triangle is \frac{bh}{2} = A, where b = base, h = height, and A = area. In this case, we're given the height as 4 cm and the area as 6 cm^2.

Let's plug in these values.

  • \frac{4b}{2} = 6

Now, let's solve this algebraically.

Step 1: Multiply both sides by 2.

  • \frac{4b}{2} * 2 = 6 * 2
  • 4b = 12

Step 2: Divide both sides by 4.

  • \frac{4b}{4} = \frac{12}{4}
  • b = 3

Step 3: Check if solution is correct.

  • \frac{3*4}{2} = 6
  • \frac{12}{2} = 6
  • 6 = 6

Therefore, the base is 6 cm. (but don't put the cm in the box because it's already there)

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Answer:

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Part b) The coordinates of the drummer's final position are (-1,-2)

Step-by-step explanation:

Part a) Write a rule to describe the translation

we know that

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so

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The rule of the translation is equal to

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Part b) What were the coordinates of the drummer's final position?

we know that

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(-2,-5) -----> (-2+1,-5+3)

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therefore

The coordinates of the drummer's final position are (-1,-2)

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4 years ago
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Simplify the following: 7-3[(n^3+8n)/(-n)+9n^2]
Pachacha [2.7K]
If you would like to simplify <span>7 - 3[(n^3 + 8n) / (-n) + 9n^2], you can do this using the following steps:

</span>7 - 3[(n^3 + 8n) / (-n) + 9n^2] = 7 - 3[(-n^2 - 8) + 9n^2] = 7 - 3[-n^2 - 8 + 9n^2] = 7 - 3[ - 8 + 8n^2] = 7 - 3[8<span>n^2 - 8] = 7 - 24n^2 + 24 = - 24n^2 + 31
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The correct result would be <span>- 24n^2 + 31.</span>
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