Answer:
$68.8
Step-by-step explanation:
27.52/2 = 13.76
13.76 x 5 = 68.8
Answer:
Square root of 27/4 rounded to the nearest tenth = 6.8
Step-by-step explanation:
-1400 + 800 - 350 = - 950 meters
Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
Using the formulas here: http://www.1728.org/diamform.htm
A) Volume = <span>π <span>• r² • height
radius^2 = Volume / (PI*height)
</span></span><span>radius^2 = 12,566.4 / (PI * 8)
</span>radius^2 =
<span>
<span>
<span>
500.0011692175
</span>
</span>
</span>
radius =
<span>
<span>
<span>
22.3607059195
</span>
</span>
</span>
radius (rounded) = 22.4 cm
B) Area of base = PI * radius^2
Area of base = 3.14159265 * 500
Area of base =
<span>
<span>
<span>
1,570.7963267949
</span>
</span></span><span><span>Area of base (rounded) =
</span>
1,570.8 square cm
</span>
C) <span><span>lateral area = </span>2 • </span><span>π • r • height </span>
<span>lateral area = 2 • </span><span>π • 22.4 * 8
</span>lateral area =
<span>
<span>
<span>
1,125.9468070466
</span>
</span>
</span>
lateral area =
1,125.9 <span>square cm
D) Total Surface Area = </span><span>(2 • <span>π <span>• r²) + (2 • <span>π • r • height)</span></span></span></span>
Total Surface Area = <span><span>2 * (top AND bottom area which is the Part B answer times 2) + (the lateral area which is the Part C answer)
</span>
Total Surface Area = </span>( 2 * 1,570.8 ) + (1,125.9)
<span>Total Surface Area = 3,141.6 + 1,125.9
</span><span>Total Surface Area = </span>
<span>
<span>
<span>
4,267.5
</span>
</span>
</span>
square cm
