Answer:
<h2><em><u>16</u></em><em><u> </u></em><em><u>yards</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>,</u></em>
Volume of the rectangular prism = 128 cubic yards
Base area of the prism = 8 square yards
<em><u>Let</u></em><em><u>,</u></em>
Height of the prism be = h
<em><u>As</u></em><em><u> </u></em><em><u>we</u></em><em><u> </u></em><em><u>know</u></em><em><u>,</u></em><em><u> </u></em>
Base area × height = Volume of the given prism
<em><u>Therefore</u></em><em><u>,</u></em><em><u> </u></em>
By the problem,
=> 8 sq. yd × h = 128 cu. yd
=> 8h = 128
- <em>(</em><em>On</em><em> </em><em>dividing</em><em> </em><em>8</em><em> </em><em>from</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

- <em>(</em><em>On</em><em> </em><em>Simplification</em><em>)</em>
=> h = 16
<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>height</u></em><em><u> </u></em><em><u>(</u></em><em><u>h</u></em><em><u>)</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>prism</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>16</u></em><em><u> </u></em><em><u>yards</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
Answer:
perpendicular slope = - 
Step-by-step explanation:
given a line with slope m then the slope of a line perpendicular to it is
= - 
the given slope m = 4, hence
= - 
Answer:
Step-by-step explanation:
A.) 2a+4b-c: Replacing a with 2, b with 3 and c with 4, we get:
2(2) + 4(3) - (4) = 4 + 12 - 4 = 12
B.) 6(a+c)-b: Replacing a with 2 and c with 4, we get 6(2 + 4) - 3.
The work inside parentheses should be done first, resulting in 6(6) - 3.
This comes out to 33.
Step-by-step explanation:
If there are 20 yellow marbles,
there must be 32 - 20 = 12 red marbles.
P(Red marble)
= 12/32
= 0.375.
To find k, divide both sides by 1/4
K = 2/3 / 1/4
When dividing by a fraction flip the second fraction over then multiply:
K = 2/3 x 4/1 = (2 x 4) / (3 x 1) = 8/3
K = 8/3 = 2 and 2/3