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2 years ago

12

The length of one leg of a right triangle is 11 and the length of the hypotenuse is 29. Find the length of the missing leg to th

e nearest hundredth.

1 answer:

VladimirAG [237]2 years ago

6 0

Step-by-step explanation:

Let the missing leg or side is x

By Pythagoras theorem

29²=11²+x²

x=√(29²-11²)

x=26.83

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Answer: (x - 3) (2x-1)

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3 years ago

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Is 0.6 repeated irrational?

andriy [413]

Answer:

no. it is not because 0.6 is a decimal

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2 years ago

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3 years ago

Factor the polynomial completely. 4x3 – 12x2 7x – 21 4x2(x – 3) 7(x – 3) Which is the completely factored polynomial? 4x2(x 4) 3

bixtya [17]

Answer:

(d) (4x² +7)(x -3)

Step-by-step explanation:

This polynomial can be factored by factoring pairs of terms.

= (4x³ -12x²) +(7x -21)

= 4x²(x -3) +7(x -3)

= (4x² +7)(x -3)

__

<em>Additional comment</em>

The answer choices suggest we're not interested in irrational or complex factors. The quadratic (4x² +7) could be factored into linear terms involving irrational complex numbers. The form for "difference of squares" would be used for the purpose.

7 0

2 years ago

Original price of a hotel: $240.00 per night.

lawyer [7]

Answer:

$ 929

Step-by-step explanation:

Given: Original price of stay in hotel= $240 per night

Discount= 25%

Total taxes and fee = 29%

Now, finding the price of stay for four night.

Using unitary method to solve:

As we know original price of hotel stay per night is $240

∴ Price of four night stay at original price is $240\times 4 = \$ 960$

Next, 25% discount given on the price of four night stay.

∴ $960 - \frac{25}{100} \times 960 = 960 - 240$

= $\$ 720$

∴Price of four night hotel stay after discount is $\$ 720$

Now, 29% taxes and fees been added to the price.

Price of hotel stay after discount + Taxes paid.

$720 + ( \frac{29}{100} \times 720) = 720 + 209$

= $\$ 929$

∴ $\$ 929$ is the price to be paid for four night stay at hotel after discount and taxes.

5 0

3 years ago