Answer:
96
Step-by-step explanation:
Formulas for area: Parallelogram= Base * Height
Triangle= Base * Height / 2
1st triangle to the left: 8*6=48/2=24
2nd triangle to the right:
<u>1st step: </u>6²+b²=10²
36-36+b²=100-36
√b²=√64²
b=8
2nd step: 6*8=48/2=24
only parallelogram:
6*8=48
Final step: 24+24+48=96
Answer:
<em>Both trains will meet at 2.2 hours (2 hours and 12 minutes).</em>
Step-by-step explanation:
<u>Relative Speed</u>
If two moving objects are traveling through the same line and have speeds v1 and v2 respectively, their relative speed is vr = v1-v2.
Both trains travel toward each other, which means their speeds are of opposite signs.
Let's assume the first train has a positive speed of 65 mph, and the second train has a negative speed of -85 mph. Then, the relative speed is vr = 65 + 85 = 150 mph.
To calculate the time they take to meet, we apply the formula:
Both trains will meet at 2.2 hours (2 hours and 12 minutes).
-(1)x + 5 = 10
-5 -5
----------------
-x = 5
+1 +1
----------
x = 6
We need 30 glass spheres whose TOTAL volume = 3,392.92 cubic inches.
Therefore each of the 30 spheres must have a volume of 3,392.92 / 30 =
<span>
<span>
<span>
113.0973333333
</span>
</span>
</span>
cubic inches
Sphere Volume = <span> 4/3 • <span>π <span>• r³
radius^3 = </span></span></span>Sphere Volume / <span>(4/3 • <span>π)
</span></span>radius^3 = 113.0973333333 /
<span>
<span>
<span>
4.1887902048
</span>
</span>
</span>
radius^3 =
<span>
<span>
<span>
26.9999994758
</span>
</span>
</span>
radius = 3 inches
diameter = 6 inches
The slope would be 58.
Slope = (change in y) / (change in x)
That relationship is established by the fixed cost of each ticket ($58). The handling fee is a constant that would shift the curve upward by $5, but would have no effect on the slope of the line since it is completely independent from the number of tickets being purchased (x).
