If the original side length is "s" and the original slant height is "h", the original surface area is
.. S = (base area) +(lateral area)
.. S = s² +(1/2)*(4s)*h
.. S = s(s +2h)
Now, if we make these replacements: s ⇒ 3s, h ⇒ h/5, we have
.. S' = (3s)(3s +2h/5)
.. S' = 9s² +(6/5)s*h . . . . . . . the formula for the modified area (in terms of original dimensions)
_____
Of course, in terms of the modified dimensions, the formula is the same:
.. S' = s'(s' +2h')
I run 1 mile every 6 minutes.
My friend runs 1 mile every 7 minutes.
Lowest Common Multiple: LCM ( 6, 7 ) = 42 minutes.
Me : 42 : 6 = 7 miles
My friend : 42 : 7 = 6 miles.
Answer is B
Each number under the leaf side is the other half of the stem.
Therefore,
1 | 7 =1.7
1 | 3 =1.3
3 | 7 =3.7
So on and so forth.
X+y+z=51
y=2z
z=9+x
subsitute those
x+2z+9+x=51
x+2(9+x)+9+x=51
x+18+2x+9+x=51
4x+27=51
minus 27 both sides
4x=24
divide by 4
x=6
sub back
z=9+x
z=9+6
z=15
y=2z
y=2(15)
y=30
the numbers are
6,30,15
Simplifying the expression gives 13/ 36
<h3>How to solve the expression</h3>
Given;
1/4(1-2/3)^2+1/3
Represented as;
Take the LCM of the bracket
Find the square
Find the LCM
1 + 12/36
13/ 36
Thus, simplifying the expression gives 13/ 36
Learn more about fractions here:
brainly.com/question/1622425
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