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yanalaym [24]
3 years ago
12

Simplify the below expression.

Mathematics
2 answers:
fgiga [73]3 years ago
6 0

Answer:

1/9

Step-by-step explanation:

When dividing terms with exponents, you subtract the exponents.

3⁰/3² = 3⁰⁻² = 3⁻² = 1/9

Therefore, the simplified expression is 1/9.

irinina [24]3 years ago
4 0

Step-by-step explanation:

3^0=1

3^2=9

\frac{1}{9}

plz mark as brainliest

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A new television set was recently purchased for a common room in a residence hall for $408.00 including tax. If the tax rate is
Nadusha1986 [10]

Answer:

$400

Step-by-step explanation:

To solve this, we need to understand how one reaches the final price. The general formula for final price (with tax) is:

t(c) = p x (1+t)

t(c) is total cost

p is price

t is tax rate as a decimal

To find p, we need to create a new formula. Since we have the total cost ($408) and the tax rate (2% or .02), we can divide the total cost by 1 + the tax rate to solve for the price:

t(c) / (1+t) = p

408 / (1+.02) = $400

I hope this helps!

-TheBusinessMan

7 0
4 years ago
What is an angle?
lys-0071 [83]

Answer:

A .part of a line that has two end points

7 0
3 years ago
Someone please help asap! Thank you!
nekit [7.7K]

Answer:

The answer to your question is:

Perimeter = 26.5 units

Area = 22.5 units²

Step-by-step explanation:

Data

A (5, 9)

B (8, 0)

C (0, 9)

Formula

d = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }

dAB = \sqrt{(8 - 5)^{2} + (0 - 9)^{2} }

dAB = \sqrt{3^{2} + 9^{2} }

dAB = \sqrt{90}

dBC = \sqrt{(0 - 8)^{2} + (9 - 0)^{2} }

dBC = \sqrt{8^{2} + 9^{2} }

dBC = \sqrt{145}

dAC = \sqrt{(0 - 5)^{2} + (9 - 9)^{2} }

dAC = \sqrt{5^{2} + 0^{2} } \\

dAC = \sqrt{25} = 5

Perimeter = \sqrt{90} + \sqrt{145} + 5

Perimeter = 26.5 units

Area = 1/2  [ ( 5x0) + (8x9) + (0 x 9) - (5x 9) - (0x 0) - (8x9)]

        = 1/2 [ 0 + 72 + 0 - 45 - 0 - 72]

        = 1/2 [-45]

        = 45/2

        = 22.5 units²

4 0
4 years ago
Please help me with this question
BartSMP [9]

Answer:

3x-28=2x+25\\x=53

Step-by-step explanation:

Parallel lines cut by a transversal are two lines which do not cross intersected by a third line. Because lines such as m and n are parallel, we have angles which are equal to each other.

  • Corresponding Angles - angles located in the same position in each intersection. Can be shown by translating or sliding the angle down/up.
  • Alternate Interior Angles - angles located inside the parallel lines across the transversal. Can be shown by reflecting and translating or rotation.
  • Alternate Exterior Angles - angles located outside the parallel lines across the transversal. Can be shown by reflecting and translating or rotation.
  • Vertical angles - angles across a vertex from one another. Can be shown by reflection.

The angles shown here are located outside the parallel lines and across the transversal from each other. Therefore we have Alternate Exteroir angles and can set them equal to each other to solve for x.

3x-28=2x+25\\3x-2x-28=2x-2x+25\\x-28=25\\x-28+28=25+28\\x=53

We check our work and should get equal angles:

3(53)-28=2(53)+25\\159-28=106+25\\131=131

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Aiden spent at least $135
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