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3 years ago

A right triangle's height is 3 times the length of its base. if the area of the triangle is 600, what is the height?

1 answer:

3 0

a = 1/2 x b x h

h = 3b

so 1/2 x b x 3b = (1/2)(3b^2) = 150

(150 x 2)/3 = b^2

100 = b^2

b = square root of 100 = 10

h = 3b = 3 x 10 = 30

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3 years ago

Which expression is equivalent to 36x2 - 25?

Dimas [21]

Answer:

The equivalent expression is: (6x + 5)*(6x - 5)

Step-by-step explanation:

This expression is called the difference of two squares.

It has the following format: $a^{2} - b^{2}$

It is factored as: $a^{2} - b^{2} = (a-b)*(a+b)$

In this question:

$a^{2} - b^{2} = 36x^{2} - 25$

$a^{2} = 36x^{2}$ , then $a = \sqrt{36x^{2}} = 6x$

$b^{2} = 25$ , then $b = \sqrt{25} = 5$

The equivalent expression is: (6x + 5)*(6x - 5)

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3 years ago

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3 years ago

PLEASE HELP ASAP!!! 98 POINTS FOR ONE MULTIPLE CHOICE QUESTION!!! I DO NOT HAVE PICTURES BUT ANYONE IN FLVS PLEASE ANSWER!!!

sladkih [1.3K]

y = −2x + 13

y = 2x − 3

Set the equations to equal and solve for x:

-2x + 13 = 2x -3

Add 2X to each side:

13 = 4x -3

Add 3 to each side:

16 = 4x

Divide both sides by 4:

x = 16/4

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Now replace x with 4 in one of the equations and solve for y:

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Both numbers are positive values, so the second graph is correct.

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3 years ago

Read 2 more answers

A rack of 15 billiard balls is shown. If one ball is selected at random, determine the odds against it containing a number grea

andre [41]

Using the probability and odds concepts, it is found that the odds against it containing a number greater than or equal to 7 is $\frac{2}{3}$ .

A probability is the number of desired outcomes divided by the number of total outcomes.
An odd is the number of desired outcomes divided by the number of non-desired outcomes.

In the rack, there are 15 balls, numbered from 1 to 15. Of those, 6 are less than 7(against it containing a number greater than or equal to 7 is equivalent to it containing a number less than 7), thus:

There are 6 desired outcomes.
There are 9 non-desired outcomes.

The odd is:

$\frac{6}{9} = \frac{2}{3}$

The odds against it containing a number greater than or equal to 7 is $\frac{2}{3}$ .

A similar problem is given at brainly.com/question/21094006

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3 years ago