Answer:
840 cubic inches
Step-by-step explanation:
Given:
The wooden steps have two parts.
Both of which are rectangular prisms.
The top part is 6 inches tall, 5 inches wide and 10 inches long.
The bottom part is 6 inches tall, 9 inches wide and 10 inches long.
Question asked:
What is the volume of the steps?
Solution:
<u>For top part</u>
Length = 10 inches
Width = 5 inches
Height = 6 inches
<u><em>As we know:</em></u>
<u><em /></u>
<u>For bottom part</u>
Length = 10 inches
Width = 9 inches
Height = 6 inches
Similarly
Volume of two steps = 300 + 540 = 840 cubic inches
<em>Therefore, the volume of the steps are 840 cubic inches.</em>
<em></em>
Answer: f(1) = -6
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Answer:
Yes, because as x grows larger so does y, that means to be in a proportional relationship.
Step-by-step explanation:
Answer:
You can see objects, nd buildings that have those shapes, and roof tops.
Step-by-step explanation:
<em>Given - a+b+c = 0</em>
<em>To prove that- </em>
<em>a²/bc + b²/ac + c²/ab = 3</em>
<em>Now we know that</em>
<em>when x+y+z = 0,</em>
<em>then x³+y³+z³ = 3xyz</em>
<em>that means</em>
<em> (x³+y³+z³)/xyz = 3 ---- eq 1)</em>
<em>Lets solve for LHS</em>
<em>LHS = a²/bc + b²/ac + c²/ab</em>
<em>we can write it as LHS = a³/abc + b³/abc + c</em><em>³</em><em>/abc</em>
<em>by multiplying missing denominators,</em>
<em>now take common abc from denominator and you'll get,</em>
<em>LHS = (a³+b³+c³)/abc --- eq (2)</em>
<em>Comparing one and two we can say that</em>
<em>(a³+b³+c³)/abc = 3</em>
<em>Hence proved,</em>
<em>a²/bc + b²/ac + c²/ab = 3</em>
