Answer:
DF
Step-by-step explanation:
the mid segment is a line that connects the midpoints.
Answer: choice A) 7017
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Work Shown:
The first term is a_1 = 24 and we go up by 7 each time.
The common difference is d = 7
The nth term formula we'll use is
a_n = a_1 + (n-1)*d
a_n = 24 + (n-1)*7
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The 1000th term corresponds to n = 1000
Replace every n with 1000
Then use the order of operations (PEMDAS) to simplify
a_n = 24 + (n-1)*7
a_1000 = 24 + (1000-1)*7
a_1000 = 24 + (999)*7
a_1000 = 24 + 6993
a_1000 = 7017
Answer:
Step-by-step explanation:
Given
--- lower diameter
--- upper diameter
Solving (a): The curved surface area
This is calculated as:
Where
--- lower radius
--- upper radius
And
---- l represents the slant height of the frustrum
So, we have:
Solving (b): The volume
This is calculated as:
This gives:
X-6y=6 slope: 1/6 y-intercept (0,1)
X= 0,6 y= -1, 0
X+3y+12=0 slope: 1/3
Y-intercept (0,4) x= -12, 0 Y= 0,4
8a-9b= 9/8 slope (0 ,7/8) x= -1,1 Y= -1/4,2
3a+b=7 1/3 (0,7/3) x= 4,7 Y=1,0