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3 years ago

One afternoon 12 inches of snow fell after 1 1/2 hours. At this rate, how many inches of snow fell in 1 hour?

Mathematics

1 answer:

lidiya [134]3 years ago

8 0

Answer:

8 inches

Step-by-step explanation:

Use a Ratio:

12 inches : 1 1/2 hours

? inches : 1 hours

12/1.5 = x/1

8 = x/1

x = 8 * 1

x = 8 inches

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2) The two rectangles shown are similar.

Citrus2011 [14]

Answer:

$6\ cm$

Step-by-step explanation:

First Rectangle:

$length(l_1)=24\ cm\\\\Width(b_1)=9\ cm$

Second Rectangle:

$length(l_2)=16\ cm\\\\Let\ Width=b_2\ cm$

$Since\ these\ two\ rectangles\ are\ similar\\\\\frac{l_2}{l_1}=\frac{b_2}{b_1}\\\\\frac{16}{24}=\frac{b_2}{9}\\\\16\times 9=24\times b_2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ cross\ multiplication\\\\b_2=\frac{16\times 9}{24}\\\\b_2=6\ cm$

5 0

3 years ago

Solve 169x^2-42.25=0 by using square roots?<br><br> NEED HELP!!!

jekas [21]

Answer:

x = 1/2 , x = -1/2

Step-by-step explanation:

Given equation;

169x² - 42.25

Find:

Solution of equation using square root

Computation:

169x² - 42.25

We know that 13² = 169 and 6.5² = 42.25

So,

[13x]² - [6.5]²

a² - b² = (a + b)(a - b)

So,

[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]

So,

13x + 6.5 = 0 , 13x - 6.5 = 0

x = 6.5 / 13 , x = -6.5 / 13

x = 1/2 , x = -1/2

5 0

2 years ago

The hypotenuse of a 30- 60- 90 triangle has length 17. what is the length of the side opposite the 60 angle? if necessary, round

oksano4ka [1.4K]

Side opposite 30 = 1/2(hypotenuse) ⇒ 1/2(17) = 8.5
Side opposite 60 = $\sqrt{3}$ (side opposite 30) ⇒ $8.5 \sqrt{3}$ = 14.72 when rounded 2 decimal places