Answer:
782.5inch³
Step-by-step explanation:
<u>The question is on volume of a prism and that of a cylinder</u>
<u>Finding the volume of the prism</u>
V=Bh where B is the base area and h is the height
Base area=14"×14"=196 inch²
height =8"
v=196×8= 1568 in³
<u>Finding volume of the cylinder</u>
v=
r²h where r is the radius of cylinder and h is the height of cylinder
r=10/2=5 inches and h=10 inches
v=3.142×5×5×10=785.5inch³
<u>The difference in volume</u>
Difference in volume=1568-785.5=782.5inch³
Answer:
Step-by-step explanation:
(im presuming this is a triangle)
65 + 45 = 110°
angles in a triangle add up to 180°
180 - 110 = 70°
x = 70°
Answer:
b and c, b and c are same
Step-by-step explanation:
Only a and d can be evaluated using simple substitution.
For a, integral of the square root of (x-1)dx i.e
let y = x-1
dy = dx
It becomes integral square root of ydy, ∫√ydy
which is can easily be evaluated and y is substituted back.
For d, integral of x times the square root of the quantity x squared minus 1
let y= x squared minus 1
then dy = 2xdx
dx = dy/2x
It becomes integral x times square root of y dy/2x
∫x√ydy/2x=∫√ydy/2=1/2∫√ydy which can easily be evaluated and y is substituted back
Answer:
<h2>
The value of x is 3.31 to the nearest hundredth</h2>
Step-by-step explanation:
Given the equation 
, to calculate the value of x the following steps must be carried out;
Step 1;
Take the natural logarithm of both sides
Step 2;
Divide both sides by ln3
The value of x is 3.31 to the nearest hundredth
