Explanation
Answer:
The carpenter can build the triangular frame by cutting the 12 foot piece by 2foot
Step-by-step explanation:
take the base square. find the diagonal
16^2+16^2 = 2*16^2= d^2
d= 16√2
half of the diagonal will form the baSe of right triangle of hypotenuse 10. but the base will be 8√2 which is greater than 10. so I feel the slant hr has to be different and more than 10
we know that
the volume of a solid oblique pyramid is equal to
where
B is the area of the base
h is the height of the pyramid
in this problem we have that
B is a square
where
<u>
</u>
so
substitute in the formula of volume
![V=\frac{1}{3}*x^{2}*(x+2)\\ \\V=\frac{1}{3}*[x^{3} +2x^{2}]\ cm^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%2Ax%5E%7B2%7D%2A%28x%2B2%29%5C%5C%20%5C%5CV%3D%5Cfrac%7B1%7D%7B3%7D%2A%5Bx%5E%7B3%7D%20%2B2x%5E%7B2%7D%5D%5C%20cm%5E%7B3%7D)
therefore
<u>the answer is</u>
![V=\frac{1}{3}*[x^{3} +2x^{2}]\ cm^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%2A%5Bx%5E%7B3%7D%20%2B2x%5E%7B2%7D%5D%5C%20cm%5E%7B3%7D)
Answer:
37 hours and 12 minutes
Step-by-step explanation:
six men completed a task in 24 hours and 48 minutes which means (24 x 60) + 48 = 1488 minutes
x is the number of minutes it would take 4 men to complete
6(1488) = 4x
8928 = 4x
x = 2232
x = 2220 + 12 or 37 hours and 12 minutes
Answer:
30 pounds of hard candy and 30 pouonds of soft candy
Step-by-step explanation:
$2 per pound added with $4 per pound would become $3 per pound
x pounds plus 60 - x pounds will add up to 60 pounds
(multiply the top with the bottom)
2x + 4x = 3(60)
6x = 180
x = 30
60 - 30 = 30
