So 1=6/8 minute
1=3/4 minute
multiply both sides by 4
4=3 minutes
3 times what=15
divide by 3
what=5
4=3 minutes
mulitpliy both sides by 5
20=15 minutes
answer is 20 bags
Step-by-step explanation:
If it cost $1200 to install 100 square feet of roofing, then it will cost $13200 to have 1100 square feet installed.
$1200/ 100 square feet multiply 11 on both sides
$13200/ 1100 square feet
<h3><u><em>
Please mark this as brinliest thank you!!!</em></u></h3><h3><u><em>
: )</em></u></h3><h3><u><em>
And as always, </em></u></h3><h3><u><em>
simplify bananas</em></u></h3>
Answer:
9 units
Step-by-step explanation:
By the midsegment theorem,
![AB=\dfrac{KN+LM}{2}](https://tex.z-dn.net/?f=AB%3D%5Cdfrac%7BKN%2BLM%7D%7B2%7D)
Since the ratio
then
and
![18=\dfrac{x+5x}{2}\\ \\18=\dfrac{6x}{2}\\ \\18=3x\\ \\x=6\\ \\LM=6\ units\\ \\KN=30\ units](https://tex.z-dn.net/?f=18%3D%5Cdfrac%7Bx%2B5x%7D%7B2%7D%5C%5C%20%5C%5C18%3D%5Cdfrac%7B6x%7D%7B2%7D%5C%5C%20%5C%5C18%3D3x%5C%5C%20%5C%5Cx%3D6%5C%5C%20%5C%5CLM%3D6%5C%20units%5C%5C%20%5C%5CKN%3D30%5C%20units)
Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.
Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and
![KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units](https://tex.z-dn.net/?f=KE%3DFN%3D%5Cdfrac%7BKN-EF%7D%7B2%7D%3D%5Cdfrac%7B30-6%7D%7B2%7D%3D12%5C%20units)
Consider right triangle KLE. By the Pythagorean theorem,
![KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units](https://tex.z-dn.net/?f=KL%5E2%3DLE%5E2%2BKE%5E2%5C%5C%20%5C%5C15%5E2%3DLE%5E2%2B12%5E2%5C%5C%20%5C%5CLE%5E2%3D15%5E2-12%5E2%5C%5C%20%5C%5CLE%5E2%3D225-144%3D81%5C%5C%20%5C%5CLE%3D9%5C%20units)