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Evgen [1.6K]
3 years ago
5

What is 900 as an exponent

Mathematics
1 answer:
Komok [63]3 years ago
6 0
30^2= 30×30=900 so 30^2 is the answer
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Use the pythagorean Theorem to prove the three sides of the triangle are the three sides of a right triangle. Show all of your w
weeeeeb [17]

Answer:

2^{2} + (2\sqrt{3}) ^{2} = 4 + 4 * 3 = 16 = 4^{2}

Step-by-step explanation:

The Pythagorean Theorem states that the two shorter sides of a right triangle squared and added together will equal the longest side (hypotenuse) of the right triangle squared. The longest side of this right triangle is 4, 4 squared is 16. The two shorter sides of the right triangle are 2 and 2\sqrt{3}, squared individually would be 4 and 12, and added together they also equal 16. These sides are a valid input for the Pythagorean Theorem, so these three sides are the sides of a right triangle. 2 and 2\sqrt{3} being the legs of the right triangle, and 4 being the hypotenuse.

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3 years ago
At one farmer’s market, bananas cost $0. 80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 p
Minchanka [31]

To find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

<h3>What is cost price per pound?</h3>

The cost price per pound is the amount of money required to buy one pound of a brand or goods.

To find the cost price per pound, divide the total amount of cost of the goods to the total number of goods.

At one farmer’s market, bananas cost $0.80 per pound.

At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. To compare it with first market price, divide the 5 pound bags with $4.50.

The cost of one bag in this market is,

C=\dfrac{4.50}{5}\\C=0.5625

As this cost is less, thus, the cost of this market for one banana is less than the first market and so this is the better buy.

Hence, to find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

Learn more about the cost price per pound here;

brainly.com/question/20333618

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2 years ago
Need help with compound fractions. Please answer both
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\frac{8*( \frac{c}{c} )- \frac{3}{c} }{2*( \frac{7c}{7c})+ \frac{3}{7c}  }  \\  \\  \frac{ \frac{8c-3}{c} }{ \frac{14c+3}{7c} }  \\  \\  \frac{8c-3}{c} * \frac{7c}{14c+3}  \\  \\ =  \frac{56c-21}{14c+3}

Domain restrictions are what x values make the denominator zero.
a² + 5a - 36 = (a + 9)(a - 4)
a ≠ -9 ; a ≠ 4
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3 years ago
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gogolik [260]
3*5=15 15*8=120 Answer: 120m
7 0
3 years ago
NEED URGENT HELP!! WILL GIVE BRAINLIEST
Flauer [41]

1. You need to multiply the denominator by something that will make the content of the radical be a square—so that when you take the square root, you get something rational. Easiest and best is to multiply by √6. Of course, you must multiply the numerator by the same thing. Then simplify.

\displaystyle\frac{2}{\sqrt{6}}=\frac{2}{\sqrt{6}}\cdot\frac{\sqrt{6}}{\sqrt{6}}\\\\=\frac{2\sqrt{6}}{\sqrt{6}\cdot\sqrt{6}}=\frac{2\sqrt{6}}{6}\\\\=\bf{\frac{\sqrt{6}}{3}}

2. Identify the squares under the radical and remove them.

5\sqrt{12xm^3}=5\sqrt{(4m^2)(3xm)}=5\sqrt{(2m)^2}\sqrt{3xm}\\\\=5\cdot 2m\sqrt{3xm}=\bf{10m\sqrt{3xm}}

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3 years ago
Read 2 more answers
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