Answer:
41
Step-by-step explanation:
Given Expression:
(4 x 9 - 21) \ 3+6^2
Multiply 4 and 9 to get 36.
36 - 21 / 3 + 6^2
Subtract 21 from 36 to get 15.
15/3 + 6^2
Divide 15 by 3 to get 5.
5+6^2
Calculate 6 to the power of 2 and get 36.
5+36
Add 5 and 36 to get 41.
41
Use the Pythagorean theorem to find the diameter:
Diameter = √(19.3^2 - 9.5^2)
Diameter = √(372.49 - 90.25)
Diameter = √282.24
Diameter = 16.8 m
Volume of a cylinder = PI x r^2 x h
r = 1/2 diameter = 16.8 /2 = 8.4
h = 9.5 m
Volume = PI x 8.4^2 x 9.5
= PI x 70.56 x 9.5
= PI x 670.32
In terms of PI volume = 670.32PI
As a decimal:
670.32 x 3.14 = 2104.8048 = 2100m^3 ( rounded to the nearest hundred)
Answer:
36 + 16 √3
Explanation!
You would first need to simply the radical by breaking the radicand up into a product of known factors!
So the answer would be 36 + 16 √3
If you want decimal form here you go! :)
63.7128129211
Hope this helps you out!
Answer:
Step-by-step explanation:
Given that,
A rectangular prism is 4 inches long, 3 inches wide and 8 inches tall.
We need to find the volume of the rectangular prism. The formula for the volume of prism is given by :
So, the volume of the prism is equal to 
.
<span>A(t) = −(t − 8)2 + 535
You would like to find the maximum of this function:</span> −(t − 8)^2<span>This part is always negative or zero as a number squared cannot be negative and you multiply by -1: Thus the maximum of this part MAX:</span>−(t − 8)^2=0
<span>The max will be when t=8 and its value is 535
</span>
