In 4 months, the water level changed in the lake by -3.5 ft.
We want to know the change in one month knowing that the change is the same for all months.
To do that, we can simply do a cross multiplication as follows:
change per month=(1*-3.5)/4 = -0.875 ft
Answer:
48.6 quart of fertilizer
Step-by-step explanation:
The directions say to use 4/5 of a quart of fertilizer for each acre of land.
Alan has two fields,
Field 1
22 1/2 acre of land
1 acre of land = 4/5 quart
22 1/2 acre of land = x
Cross Multiply
x = 22 1/2 × 4/5
x = 45/2 × 4/5
x = 18 quart of fertilizer
Field 2
38 1/4 acres of land
1 acre of land = 4/5 quart
38 1/4 acre of land = x
Cross Multiply
x = 38 1/4 × 4/5
x = 153/4 × 4/5
x = 30.6 quart of fertilizer
The total fertilizer that Alan will need for his two fields is calculated as:
18 quart of fertilizer + 30.6 quart of fertilizer
= 48.6 quart of fertilizer
Vertices of the triangle:
<span>J (-2,1), K (4,3), and L (-2,-5) </span>
<span>Area of triangle: 18
or
</span>determinant=
<span>4,3,1 </span>
<span>-2,1,1 </span>
<span>-2,-5,1 </span>
<span>determinant= 4(1+5)-3(-2+2)+1(10+2) = 36 </span>
<span>A = determinant/2
</span>36/2=18
Notice that one side is vertical. Use that side as base.
<span>Area is 18.</span>
Answer:
11033
Step-by-step explanation:
