The volume formula of a cylinder is given as:
V = π r^2 h
So plugging in the value of the volume:
10 ft^3 = π r^2 h
<span>h = 10 / (π r^2) --->
eqtn 1</span>
The formula for the surface area of cylinder is:
s = 2 π r h + 2 π r^2
plugging in eqtn 1:
s = 2 π r [10 / (π r^2)] + 2 π r^2
<span>s = (20 / r) + 2 π r^2 (ANSWER)</span>
Find the area of the parallelogram with vertices A(−1,2,3), B(0,4,6), C(1,1,2), and D(2,3,5).
cupoosta [38]
Answer:
5*sqrt3
Step-by-step explanation:
The vector AB= (0-(-1), 4-2,6-3) AB= (1,2,3)
The modul of AB is sqrt(1^2+2^2+3^2)= sqrt14
The vector AC is (1-(-1), 1-2, 2-3)= (2,-1,-1)
The modul of B is sqrt (2^2+(-1)^2+(-1)^2)= sqrt6
AB*AC= modul AB*modul AC*cosA
cosA=( 1*2+2*(-1)+3*(-1))/ sqrt14*sqrt6= -3/sqrt84=
sinB= sqrt (1- (-3/sqrt84)^2)= sqrt75/84= sqrt 25/28= 5/sqrt28
s= modul AB*modul AC*sinA= sqrt14*sqrt6* 5/ sqrt28= 5*sqrt3
Answer:
Answer: Option c. 0.1875 is the first term of the sequence.
Step-by-step explanation:
In this question sixth term of a sequence is given as A(6)= 192
Ratio of terms is given as 4
And we have to calculate the first term of the sequence.
As per formula A(n) = A(1)×
A(6) = 
192 = 
A(1) = 
= 192/1024
=0.1875
So the first term of the sequence will be 0.1875
Answer:
6 + 3
or 6 - 3
Step-by-step explanation:
x^2 - 12x + 36 = 90
x^2 - 12x - 54 = 0
x = 
a = 1, b= -12, c= -54
6 + 3 or 6 - 3
Answer:
A, D, H
Step-by-step explanation:
The function models exponential decay because the factor is 0.8 which is < 1
0.8 means 80% of the previous which is a decay of 100 - 80 = 20%
50(0.8^x)
50(0.8²)
= 32
