David has 10 yd. Of material that he wiil cut into 15in. Thick mats. How many mats can David make?
1 answer:
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Answer:
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<em>The last option matches the correct solution</em>
Step-by-step explanation:
<u>Equation Solving</u>
We have the following equation:
And it's required to solve it for r.
Solving this equation needs to perform some operations to have the r isolated from any other variables or constants.
It can be done by conveniently operating on both sides as follows:
Eliminate the denominator by multiplying by 3:
Move to the other side by dividing by
:
Swapping sides to have r at the left side:
Finally, take the cubic root and leave r alone:
The last option matches the correct solution
Answer:
A) To ensure the correct and exact straight height
B) 15 inches
C) 24.87 in
Step-by-step explanation:
Hello! Lets start!
First, it asks us to explain why the two bases must be parallel. In order to measure the correct and exact height, we must be sure that the bases are parallel, or else there would be a range of heights; in order to ensure that you are measuring a straight distance, they must be parallel!
Second, it asks us to identify the height of cone. To do this, we must make a slope! We can see that, for every time we go down 5 inches, we lose 1 inch of our base! Our slope in this situation would be -5. So, lets continue to see how long before the cone reaches its tip, in which the base would be equal to 0. At 5 inches, our base is 2 inches. At 10 inches, our base is 1 inch. At 15 inches, we do not have a base, as it equals 0! So therefore, our cone height is 15 inches.
Third, it asks us to identify the volume of the cup, which is also called a <em>circular truncated cone. </em>To do so, we can use the formula:
₁
Lets plug in our information!
Hope this helps! Remember, math is fun!