Answer:
29 feet in length, 5 feet in width and 12 feet in height
Step-by-step explanation:
We have that for the volume of a quadrangular prism is:
V = l * w * h
Ie length times width times height
In this case, the height is determined by the squares that you put in each corner, taking into account that a square has all the same sides, the height is 12 inches. h = 12
they tell us that the length is 24 inches more than the width, that is, l = 24 + w
replacing we have:
1740 = (24 + w) * w * 12
1740 = 12 * w ^ 2 + 288 * w
12 * w ^ 2 + 288 * w - 1740 = 0
if we calculate the root, we have w = 5 or w = -29
only works when w = 5
Thus:
l = 24 + 5
l = 29
which means that the dimensions are:
29 feet in length, 5 feet in width and 12 feet in height
Answer:
381.70350741116 inches^3
Step-by-step explanation:
4/3 πr^3 = 4/3 x π x 4.5^3 = 381.70 inches ^3
Answer:
To solve the system below by substitution, replace y in the second equation with 7−6x.
==> False
This statement is false. To solve the system by substitution, replace x in the second equation with 7−6x.
==> False.
This statement is false. To solve the system by substitution, replace y in the first equation with 7−6x.
==> False
This statement is false. To solve the system by substitution, replace y in the second equation with 6x−7.
==> True.
<em>From</em><em> </em><em>the</em><em> </em><em>first</em><em> </em><em>equat</em><em>ion</em><em>,</em><em> </em><em>6</em><em>x</em><em>-</em><em>y</em><em>=</em><em>7</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>y</em><em>=</em><em> </em><em>6</em><em>x</em><em>-</em><em>7</em>
Answer:
360
Step-by-step explanation:
We need to find the LCM of 18,90 and 24.
The prime factorization of 18 = 2 × 3 × 3
The prime factorization of 90 = 2 × 5×3×3
The prime factorization of 24 = 2 × 3×2×2
LCM is least common multiple.
LCM = 2 x 2 x 2 x 3 x 3 x 5
= 360
Hence, the LCM of 18,90 and 24 is 360.