Answer:
8 inches
Step-by-step explanation:
The surface area of a cone (without the base) is given by:
Surface area = pi*r*s
Where r is the base radius and s is the slant height.
The smaller cone has a surface area of 41.6pi in2 and a radius of 6.4 inches, so the slant height is:
41.6pi = pi*r*s
41.6 = 6.4s
s = 6.5 in
If the cones are similar, the radius and the slant height increase in the same proportion, so we have that:
r'/s' = r/s = 6.4/6.5
s' = r'*6.5/6.4
So for the larger cone, we have:
65pi = pi*r'*s'
65 = r'*r'*6.5/6.4
r'^2 = 64
r' = 8 inches
The sum of arithmetic series is given by:
Sn=n/2(a1+an)
where:
n=number of terms
a1=first term
an=nth term
but
n=18, an=275, Sn=4185
plugging the values in the formula we get:
4185=18/2(a1+275)
simplifying this we get:
4185=9(a1+275)
dividing through by 9 we get:
465=a1+275
thus
a1=465-275
a1=190
Answer: first number is 190
Option A
is one way to determine the factors of 
by grouping
<em><u>Solution:</u></em>
Factoring by grouping means that you will group terms with common factors before factoring
<em><u>Given expression is:</u></em>
Group the first two terms together and then the last two terms together.
We can see that 
is common in first two terms
And 3 is common in last two terms
Factor them out
Thus option A is correct
Answer: 1232
Step-by-step explanation: ( 8x10 -3) x(2x10 -4)
( 8x10 -3) = 77
(2x10 -4) = 16
77 x 16 = 1232
Answer = 1232
For this question, you need to understand how to divide fractions.First we line up our fractions appropriately:
4/9 ÷ 4/5 = ? (You want to divide 4/9 by 4/5)
4/9 × 5/4 = ? (Now we use the reciprocal of 4/5 and multiply instead of divide)
4 x 5 = 20 and 9 x 4 = 36. (Cross multiply.)
20/36 = 5/9. (Simplify to lowest terms.)
So, 4/9 divided by 4/5 is 5/9!But 5/9 is more than 4/9, so the answer is 0 :PCorrect me if I'm wrong.
