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3 years ago

45-45-90...find the value of x?

Mathematics

1 answer:

andrey2020 [161]3 years ago

4 0

Answer:

Step-by-step explanation:

If the angles of a triangle are 45°, 45° and 90°, the the sides of the triangle are x. x and x√2

x√2 = 19√2 ⇔ x = 19

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ASAP HELP QUICK 70 pts Which question is best modeled with a division expression?

aliya0001 [1]

Answer:

The question in option C. is best modeled with a division expression.

Step-by-step explanation:

A. We are asked, how far can you travel using 3/4 gallon of gas in a car that gets 18 miles per gallon?

The answer is $(\frac{3}{4} \times 18) = 13.5$ miles.

So, this is an example of multiplication expression.

B. Now, we are asked, how far can you travel in a car driving at an average rate of 52 miles per hour for 3/4 hours?

The answer is $52 \times \frac{3}{4} = 39$ miles.

So, this is also an example of multiplication expression.

C. Now, we are asked, how fast are you driving, in miles per hour, if you travel 18 miles in m 3/4 hour?

The answer is $18 \div \frac{3}{4} = 24$ miles per hour.

So, this is an example we have used the division model.

D. Again, we are asked, how fast are you driving if you travel 3/4 the speed of a car moving at 52 miles per hour?

The answer is $52 \times \frac{3}{4} = 39$ miles per hour.

Hence, this is an example of multiplication expression.

Therefore, the question in option C. is best modeled with a division expression. (Answer)

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4 years ago

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Simplify 5p2/5p3<br><br> a) p/4<br> b) 3p3<br> c) 1/p<br> d) 6/7p3

Alex73 [517]

To simplify the above expression, we can use the quotient rule.

$\frac{x^a}{x^b} =x^(a-b)$

By using the above property we can subtract the exponents of the same base.

First step is to simplify the above expression, cancel out 5 from both numerator and denominator. Therefore,

$\frac{5p^2}{5p^3} =\frac{p^2}{p^3}$

= $p^{2-3}$

= $p^-1$

= $\frac{1}{p}$

Since $x^-1 = \frac{1}{x}$ .

So, the correct choice is c) 1/p.

I hope this helps you!

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3 years ago