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Ulleksa [173]
3 years ago
14

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
geniusboy [140]3 years ago
8 0

Answer:

\frac{9\sqrt{3} }{2}

Step-by-step explanation:

since the triangle is a 30-60-90 triangle:

√3 : 2 = x : 9

=> 2x = 9 √3

=> x = \frac{9\sqrt{3} }{2}

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A rectangle container that has a length of 30 cm,a width of 20 cm,and a height of 24 cm is filled with water to a depth of 15 cm
Ket [755]
<span>V(h 24) = 30 cm*20 cm*24 cm = 14400 cm³ =  14,4 liters</span>
<span>V(h 15) = 30 cm*20 cm*15 cm =    9000 cm³  =  9 liters</span>
<span>                         + 6,5 liters = + 6500 cm³      </span>
9 liters +   6,5 liters = 15,5 liters         =>   15,5 liters -14,4 liters = 1,1 liters
now  15500 cm³   =>    1100 cm³ =1,1 liters  too much !!
Answer:  1,1 liters of water overflow the container.<span>
</span>
7 0
3 years ago
Read 2 more answers
6x + 12 -3x =51. <br> Step by step
Liula [17]
Start by combing like terms. You will get 3x+12=51. Now subtract 12 from both sides (3x=39). Divide both sides by 3 (x=13). The answer is 13.
8 0
4 years ago
3/8 x 2/6 x 4/8 x 5/12
Hatshy [7]

Answer:

\frac{5}{192}

Step-by-step explanation:

\frac{3}{8}*\frac{2}{6}*\frac{4}{8}*\frac{5}{12}\\\\\frac{3}{8}*\frac{1}{3}*\frac{1}{2}*\frac{5}{12}\\\\\frac{1}{8}*\frac{1}{3}*\frac{1}{2}*\frac{5}{4}\\\\\frac{5}{192}

7 0
3 years ago
A triangle with side lengths 13, 30, and 42 is a right triangle. True or False?​
kaheart [24]

Answer:

False

Step-by-step explanation:

42^2-30^2-13^2=695

695 ≠ 0

4 0
3 years ago
Pls work out and give detail. Use the slope formula to determine the slope of each line.
kolbaska11 [484]

Answer:

m=0

Step-by-step explanation:

Given

See attachment

Required

Determine the slope of the line

From the attachment, we have the following points

(x_1,y_1) = (-4,1)

and

(x_2,y_2) = (3,1)

The slope m is then calculated using:

m = \frac{y_2- y_1}{x_2 - x_1}

Substitute values for the x's and y's

m = \frac{1-1}{3 - (-4)}

m = \frac{1-1}{3 +4}

m = \frac{0}{7}

m=0

<em>Hence, the slope is 0</em>

7 0
3 years ago
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