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Pavel [41]
3 years ago
7

Write the expression as a square of a monomial 121a^6

Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0
<span>The square root of 121 is 11. The square toot of a^6 is a^3. Therefore 121a^6 can be expressed as (11a^3)^2, and 11a^3 is a monomial since it is a single term with nothing added or subtracted to it or from it. So 121a^6 as a squared monomial is (11a^3)^2.</span>
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Advocard [28]
It is 518400000000 ur welcome
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3 years ago
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Which expression shows the area of the base of each pyramid? (One-fourth x) squared in.2 (One-third x) squared in.2 (One-half x)
777dan777 [17]

Answer:

(a) Area = (\frac{x}{4})^2

Step-by-step explanation:

The question is incomplete. (See comment for complete question).

From the completed question, we have:

Total\ base\ length = x

n = 8 --- number of pyramids

Required

An expression for the area of the base

The total base length of the pyramid represents the perimeter of the base.

And since the base is a square, then the following relationship exist.

Total\ base\ length = 4L

Where L represents the length of each side.

This gives

4L = x

Make L the subject

L = \frac{x}{4}

The area of the base is then calculated as:

Area = L^2

Area = (\frac{x}{4})^2

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3 years ago
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Jada was using square stickers that were 3/4in long to decorate the spine of a photo album. The spine is 10 and 1/2in long. If s
nevsk [136]

Answer:

13

Step-by-step explanation:

Given:

  1. Square stickers that were 3/4 in long
  2. The spine is 10 and 1/2 in long

If she laid the stickers side by side without gaps or overlaps so the number of sticker to cover the length of the spine:

\frac{The length of the spine}{the length of the sticker}

10 : \frac{3}{4} ≈13  

She needs 13 stickers cover the length of the spine

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3 years ago
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P is the incenter of △JKL. Find m∠JKP.<br> &amp; can you please explain
dangina [55]

Answer:

  • m∠MKP = 35°

Step-by-step explanation:

<u>Incenter is the intersection of angle bisectors.</u>

  • ∠MJP = ∠OJP, ∠MKP = ∠NKP, ∠NLP = ∠OLP

<u>First find the value of x:</u>

  • 7x - 6 = 5x + 4
  • 7x - 5x = 4 + 6
  • 2x = 10
  • x = 5

<u>Find the angle MJP:</u>

  • 7*5 - 6 = 29°

<u>We know sum of interior angles of a triangle is 180°. Using this find the missing angle measure:</u>

  • 2*m∠MJP + 2*m∠NJP + 2*m∠MKP = 180°
  • m∠MJP + m∠NJP + m∠MKP = 90°
  • 29° + 26° + m∠MKP = 90°
  • m∠MKP = 90° - 55°
  • m∠MKP = 35°
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3 years ago
What is 43,000 in scientific notation?
ki77a [65]
43,000 in scientific notation is 4.3 x 10^4
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