The answer: "
h = − r " .
_________________________________________________Explanation:_________________________________________________Given:
_________________________________________________The formula/equation for the "surface area, "S", for a cylinder:
_________________________________________________ S = <span>2 π r h + 2 π r² ;
in which:
S = the surface area ;
r = radius ;
h = height;
_____________________________________________Rearrange the equation; and isolate "h" on ONE side of the equation;
__________________________________________________ So, consider:
</span>2 π r h + 2 π r² ;
<span>
__________________________________________________Factor out a "</span>2 π r " ;
<span>
__________________________________________________S = </span>2 π r * (h + r) ;
<span>
Divide each side of the equation by "</span>2 π r " ;
<span>
__________________________________________________ S / (</span>2 π r) = [(2 π r) * (h + r)] / [2 π r] ;
<span>
to get:
__________________________________________________ </span>S / (2 π r) = h + r ;
↔ h + r = S / (2 π r) ;
__________________________________________________ Subtract "r" from EACH side of the equation; to isolate "h" on one side of the equation; and to rewrite/rearrange the formula in terms of "h" ;
____________________________________________________ h + r − r = [S / (2 π r)] − r ;
____________________________________________________to get:
____________________________________________________ h = − r .
____________________________________________________
Answer:
Town C
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Hello!
First of all you have to understand the order of operations.
PEMDAS
Parenthesis, Exponent, Multiplication/Divison, Addition, Subtraction.
From this you can see that we first have to deal with the exponent, then multiplication, then the addition.
So we get 2+9-(-1)
The 9 is from -3^2
2+9+1
11+1
12.
Hope this helps!
Answer:
step 1. The vertex is when x = -b/2a (by definition)
step 2. a = -16, b = 15. x(vertex) = -15/2(-16) = 15/32
step 3. y(vertex) = -16(15/32)^2 + 15(15/32) = 225/64 = 3 33/64
step 4. since the ball started at a height of 5 feet you add 5.
step 5. answer: 3 33/64 + 5 = 8 33/64.
3.42mi miles because if you convert 3.25 miles into feet it gives you 17160 ft so if you add 900 to that then you get 18060 after that you can convert it back into miles and it gives you 3.42mi or 18060ft