Answer:
The radius is 4.097396898
Step-by-step explanation:
A hemisphere is 1/2 of a sphere so the volume is 1/2 of the volume
V = 1/2 ( 4/3 pi r^3)
= 2/3 pi r^3
144 = 2/3 pi r^3
Multiply each side by 3/2
3/2 *144 = 3/2 * 2/3 pi r^3
216 = pi r^3
Divide each side by pi
216/ pi = pi r^3/pi
68.78980892 = r^3
Take the cube root of each side
(68.78980892 )^1/3= (r^3)^1/3
4.097396898 = r
The radius is 4.097396898
In order to find the unit rate
in ft / sec of 300 yards / min.
We first have to elicit the conversion
values for each unit of measurement, this will allows us identify how much will
we multiply in order to get the goaled value.
Conversion values:
<span><span>1.
</span>1 yard = 3
feet</span>
<span><span>2.
</span>1 minute =
60 seconds</span>
Solution:
<span><span>
1.
</span>300 yards x
3 feet/1 yard = 900 feet</span>
<span><span>2.
</span>1 minute x
60 seconds / 1 minute = 60 seconds</span>
Thus, 900ft/60sec
The triangles are similar because of the SAS postulate. The sides are proportional and angle T is equal in both.
A=a+b/2·h=9+4/2·3.5=22.75
Hoped I helped!
2w + 2l = 25
2 * 2 + 2l = 25
<em><u>Simplfiy.</u></em>
4 + 2l = 25
<em><u>Subtract 4 from both sides.</u></em>
2l = 21
<em><u>Divide both sides by 2.</u></em>
l = 10.5
Now that we have the value of l, we can find the area.
A = lw
A = 10.5 * 2
A = 21.
The length is 10.5cm.
The area of the rectangle is 21cm^2
