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3 years ago

13

A triangle has sides measuring 5 inches and 8 inches. If x represents the length in inches of the third side, which inequality g

ives the range of possible values for x?

1 answer:

Arturiano [62]3 years ago

6 0

Answer:

3 less than or equal to x less than or equal to 13

3 ≤ x ≤ 13

Step-by-step explanation:

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Savannah bought a book for 85% of the original price. By what percent of the price was the book reduced

agasfer [191]

Answer:

15%

Step-by-step explanation:

100-85=15

100%= the total cost of the book

85%= price she bought it for

15%= the percentage the book was reduced by

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If you would like to write x^4y - 4x^2y - 5y in a completely factored form, you can do this using the following steps:

x^4y - 4x^2y - 5y = y * (x^4 - 4x^2 - 5) = y * (x^2 + 1) * (x^2 - 5)

The correct result would be <span>y * (x^2 + 1) * (x^2 - 5).</span>

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Find the missing dimension of the prism. Round your answer to the nearest hundredth.

Nitella [24]

Answer:

$x = 6.99in$

Step-by-step explanation:

Given

$l =2in$

$Volume = 72.66in^3$

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

$Base\ Area= \frac{3\sqrt 3}{2}l^2$

This gives:

$Base\ Area= \frac{3\sqrt 3}{2} * 2^2$

$Base\ Area= \frac{3\sqrt 3}{2} * 4$

$Base\ Area= 3\sqrt 3 * 2$

$Base\ Area= 6\sqrt 3$

Side x represents the height.

So, we have:

$Volume = Base\ Area*x$

Make x the subject

$x = \frac{Volume }{ Base\ Area}$

$x = \frac{72.66in^3}{6\sqrt 3 in^2}$

$x = \frac{72.66}{6\sqrt 3}in$

$x = \frac{12.11}{\sqrt 3}in$

$x = 6.99in$ --- approximated

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Answer:

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