Answer:
37.89051724=x
Step-by-step explanation:
We can use similar triangles and proportions to solve. Put the same side of the small triangle over the large triangle.
MA MB
------- = ----------
MN MP
80.5 -35 x
------------- = ----------
70.5 96.6 -x
Simplifying
45.5 x
------------- = ----------
70.5 96.6 -x
Using cross products
45.5 (96.6-x) = 70.5x
Distribute
4395.3 - 45.5 x = 70.5x
Add 45.5x to each side
4395.3 - 45.5 x+45.5x = 70.5x+45.5x
4395.3 = 116x
Divide each side by 116
4395.3/116 = 116x/116
37.89051724=x
Answer:
37 1/2 yards
Explanation:
3/4 as a decimal is .75 so if you multiply 50 by .75 you'll end up with the answer of 37 1/2 yards.
Answer:
25.92 feet
Step-by-step explanation:
In the first minute, the hot air balloon rises 120 feet.
And it is given that, the balloon rises in a minute only 60% of the height it rose in the previous minute.
Therefore, in the second minute, the balloon rises by (120×0.6) =72 feet
And in the third minute, the balloon rises by (72×0.6) =43.2 feet
Hence, in the fourth minute, the balloon rises by (43.2 ×0.6) =25.92 feet (Answer)
Answer:y=6.61,x=-6.46
Step-by-step explanation:
3x+7y=-26(×5)
-
5x+3y=-14(×3)
=15x+35y=-130
-
15x+9y=-42
subtracting the 2 equations =15x-15x+35y-9y=-130-(-42)
=26y=172
y=172÷26
y=6.61
substitute y in the first equation=3x+6.61=-26
3x=-26+6.61=-19.39
x=-19.39÷3
x=-6.46
Answer:
8/27
Step-by-step explanation:
The triplicate ratio of 2:3 is 2^3/3^3 = 8/27
HAVE A GREAT DAY!
