The perimeter of a rectangle is 24 inches. If the length of

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

6 0

Answer:

Step-by-step explanation:

its more than likely to be C

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Find the value of the following expression: (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whol

koban [17]

Answer:

$\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}$

Step-by-step explanation:

$\left(2^8\cdot5^{-5}\cdot19^0\right)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot228\\\\\text{use}\ a^{-n}=\dfrac{1}{a^n}\ \text{and}\ a^0=1\ \text{and}\ (a^n)^m=a^{nm}\\\\=\left(2^8\cdot\dfrac{1}{5^5}\cdot1\right)^{-2}\cdot\left(\dfrac{\frac{1}{5^2}}{2^3}\right)^4\cdot228=\left(\dfrac{2^8}{5^5}\right)^{-2}\cdot\left(\dfrac{1}{2^35^2}\right)^4\cdot228$

$=\dfrac{(2^8)^{-2}}{(5^5)^{-2}}\cdot\dfrac{1^4}{(2^3)^4(5^2)^4}\cdot228=\dfrac{2^{-16}}{5^{-10}}\cdot\dfrac{1}{2^{12}5^8}\cdot228\\\\\text{use}\ a^n=\dfrac{1}{a^{-n}}\to\dfrac{1}{a^n}=a^{-n}\\\\=2^{-16}\cdot5^{10}\cdot2^{-12}\cdot5^{-8}\cdot228\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=2^{-16+(-12)}\cdot5^{10+(-8)}\cdot228=2^{-28}\cdot5^2\cdot228\\\\=2^{-28}\cdot5^2\cdot4\cdot57=2^{-28}\cdot5^2\cdot2^2\cdot57=2^{-28+2}\cdot5^2\cdot57\\\\=2^{-26}\cdot5^2\cdot57=\dfrac{5^2\cdot57}{2^{26}}$

$\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}$

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3 years ago

Max measures the diagonal of a square room to be 32feet find the perimeter and area of the room round answers to the nearest ten

Rasek [7]

Hello!

To find the side length of a square with the diagonal you use the equation

$a = \sqrt{2} \frac{d}{2}$

a is side length
d is diagonal length

Put in the values you know

$a = \sqrt{2} * \frac{32}{2}$

Divide

$a = \sqrt{2} * 16$

Multiply

a = 22.6

All the sides are 22.6 feet

Add all the sides

22.6 + 22.6 + 22.6 + 22.6 = 90.4

The answer is 90.4

Hope this helps!

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4 years ago

Is AJKL = AMNO? If so, name the congruence postulate that applies.

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Answer:A that is what I think the answer is

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3 years ago

Each tire on your bicycle has a diameter of 26 inches.About how far will you travel when the tires make on complete revolution?

ValentinkaMS [17]

Circumference of a circle is an equation

c = (pie) x d or ........ c = 2(pie) × r
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d is the diameter and r is radius

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3 years ago

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A classmate estimated square root of 397 to be about 200 explain the mistake and correct it

Arturiano [62]

They probably thought square rotting was dividing by 2. The correct answer is about 20

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3 years ago