Answer:
Surface area of the rectangular prism = 
Step-by-step explanation:
The surface area of the rectangular prism is:
Area is:
Surface area of the rectangular prism is:
N^2 + 2n + 1 = 2n + 50 - Square both sides
n^2 + 2n + 1 - 2n - 50 = 0
n^2 - 49 = 0 - simplify
(n + 7)(n - 7) = 0 factor
n + 7 = 0. n - 7 = 0
n = -7, n = 7
you have 2 answers
Hello from MrBillDoesMath
Answer: + 4/7, 6 (13/14)
Discussion:
Let L be the larger of the two numbers and S the smaller of the two. Then the first sentence translates into this:
-6L - L = -4 =>
-7L = -4 => (divide both sides by -7)
L = - (-4)/(-7) = + 4/7 (*)
The second sentence translates to
2 (L + S) = 15 => (divide both sides by 2)
(L +S) = 15/2 => (subtract L from each side)
S = 15/2 - L = 15/2 - 4/7 (using (*) above)
So
S = 15*7/(2*7) - (4*2)/(7*2) (combine over common denominator of 14)
S = 105/14 - 8/14 = 97/14 = 6 13/14
Something is crazy here! While 2(L +S) = 15 -- check it out -- our larger number L ( =4/7) is actually smaller than the S number (6 13/14)! Maybe I should have called them Y and X, respectively, as you suggested!
Thank you,
Mr. B
Answer:
53
Step-by-step explanation:
Given: The sum of two digit number is 8
Reversing the digit will get us number 18 less than the original.
Lets take x as tenth digit of our number and y as unit digit of our number.
As given sum of digit is 8
∴ 
∴ 
- equation 1
We also know that reversing the digit will get us number 18 less than the original.
∴ 
Now, lets put the value of y from equation 1
⇒ 
⇒ 
⇒ 
∴ 
Next, substituting the value of x in equation 1
⇒ 
∴ 
∴ The original number is 53, sum of the digit is 8 and if we reverse the digit of the number, we get 35, which is 18 less than the original number.
The correct question is
<span>A cylinder has a volume of 320 pi in</span>³<span>. and a height of 5". Find the radius of the cylinder</span>
we know that
[volume of a cylinder]=pi*r²*h----> r²=volume/(pi*h)
r=√[volume/(pi*h)]
volume=320*pi in³
h=5 in
so
r=√[320*pi/(pi*5)]--------> r=8 in
the answer is
8 in
