Based on the Roni using a lawn mower and Allie pushing one, Roni would be able to mow 0.71 of the field.
<h3>How much of the field would Roni mow?</h3>
Assume that the part of the field that Roni would mow is x.
The relevant equation would be:
x/30 + x/75 = 1
5x/150 + 2x/150 = 1
7x / 150 = 1
x = 21.43
In 30 minutes, Roni would have mowed:
= 21.43 / 30
= 0.71
Full question is:
Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.
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The given expression is
![|y|+4-y\cdot x](https://tex.z-dn.net/?f=%7Cy%7C%2B4-y%5Ccdot%20x)
Let's replace x = 7 and y = -2.
![\begin{gathered} |-2|+4-(-2)\cdot7 \\ 2+4+14 \\ 20 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%7C-2%7C%2B4-%28-2%29%5Ccdot7%20%5C%5C%202%2B4%2B14%20%5C%5C%2020%20%5Cend%7Bgathered%7D)
<h2>Therefore, the value of the expression is 20.</h2>
Step-by-step explanation:
first of all, your teacher wrote nonsense in the answer options : an area is always given in squared units. never in cubed units (which would be volume).
the area is : 1/2 × perimeter × apothem
the perimeter is simply 12 × 5 = 60 meters.
apothem = (a/2)×cot(pi/12) = 5/2 × cot(pi/12) =
= 9.330127019... meters
so the area is
1/2 × 60 × 9.330127019... = 279.9038106... m²
therefore, the third answer option is correct (although it is m², and not m³).
by the way, you have question 3 wrong. I answered this with the correct apothem calculation in the explanation for question 4.
REVISED
Answer:
x = 15.33
Step-by-step explanation:
3y is equal to 2x + 13. The reason why is because they are corresponding angles, (right next to each other). From there, you would have to substitute y into 3y. The equation should look like: 3(23) = 2x + 13. All that is left is to solve for x.
Answer:
no because there are more than 1 X inputs.
Step-by-step explanation: