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4 years ago

7

What is

} " align="absmiddle" class="latex-formula">
simplified?

1 answer:

Slav-nsk [51]4 years ago

5 0

Answer:

Step-by-step explanation:

I don't know exactly how simplified it will be, but you can get the square root smaller.

180: 2*2 * 3*3 *5

For every pair of prime factors you can take 1 of the pair outside the the square root and throw the other one away

sqrt(2*2*3*3*5) = 2 * 3 * sqrt(5) = 6*sqrt(5)

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HELP ME I GIVE UP PLEASE HELP ASAP

Anni [7]

<h3>Answer: (T - 3C)/(AC)</h3>

Work Shown:

T = C(3 + AB)

T = 3C + ABC .... distribute

3C + ABC = T

ABC = T - 3C ... subtract 3C from both sides

(AC)*B = T - 3C

B = (T - 3C)/(AC) .... divide both sides by AC

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4 years ago

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Which is the best estimate for the quotient of 198.32 ÷ 9.001?

sukhopar [10]

The best estimate for the quotient of 198.32 divided by 9.001 is 20. Because if you calculate the equation, the exact answer would be 22.0331074325. The number among the choices which is closest to the exact quotient is 20. Therefore, the answer is letter C. 20.

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4 years ago

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Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triang

Vladimir [108]

Answer:

$cos^2\theta + sin^2\theta = 1$

Step-by-step explanation:

Given

$(\frac{b}{r})^2 + (\frac{a}{r})^2$

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2$

Going by the Pythagoras theorem, we can assume the following.

a = Opposite
b = Adjacent
r = Hypothenuse

So, we have:

$Sin\theta = \frac{a}{r}$

$Cos\theta = \frac{b}{r}$

Having said that:

The expression can be further simplified as:

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = 1$

Substitute values for sin and cos

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = 1$ becomes

$cos^2\theta + sin^2\theta = 1$

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4 years ago

Rectangle ABCD has a vertex coordinates A(1,-2) B(4,-2) C(4,-4) and D(1,-4) it is translated 1 unit to the left and 3 units up w

IgorC [24]

Answer:

A'(0, 1), B'(3, 1), C'(3, -1), D'(0, -1)

Step-by-step explanation:

Add (-1, 3) to each of the given points:

A' = A + (-1, 3) = (1-1, -2+3) = (0, 1) . . . . for example

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4 years ago

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Bill bought a table on sale for $630. This price was 72% of the original price.

allochka39001 [22]

Answer:

The original price was $875.

Step-by-step explanation:

a = p * w

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630 / 0.72 = $875

$875 should be the original price, I hope this helps!

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3 years ago