Answer:
Hence dimension on drawing= 12 in by 6.4 in
Step-by-step explanation:
Actual dimension of the soccer field is 120 ft by 64 ft
Scale during drawing = 1in to 10 ft
Hence dimension on drawing = 120/10 by 64/10 = 12 in by 6.4 in
Answer: Perpendicular because the second line has a 2/3 slope and starts at 4.
1,000 cubic feet because the pyramid is 4000 cubic feet on an area base of 40.
Answer:
$10
Step-by-step explanation:
divide $4 by 8. you get $.50. multiply that by 20 and you get $10
The diagonals are:
diagonal₁=2x+3y
diagonal₂=(x+8)+(2y+5)
We have to solve the following system of equations:
2x=3y
(x+8)=(2y+5)
We solve this system by substitution method:
2x=3y ⇒x=3y/2
(3y/2 +8)=2y+5
3y+16=4y+10
-y=-6
y=6
x=3y/2=3*6/2=9
we obtain the measure of the diagonals:
diagonal₁=2x+3y=2*9+3*6=18+18=36
diagonal₂=(x+8)+(2y+5)=(9+8)+(2*6+5)=17+17=34
Answer: The longest diagonal is 36 units.