Answer:
100
Step-by-step explanation:
Given that 2 ap's have same common difference
given that their 100th terms difference is 100
let the first no. of first series be a1 and second series be a2
then, a(1)100 - a(2)100=100 ---- 1
for 1st series ---- a100=a1+99d
2nd series ---- a100 = a2+99d
keep these values in (1)
then,
a1+99d - (a2+99d) = 100
a1+99d-a2-99d=100
therefore, a1-a2 =100 ------------------------------------------- 2
then the difference between their 1000th terms is
for 1st series --- a1000 = a1+999d
for 2nd series --- a1000 = a2+999d
their 100th terms difference is
a(1)1000-a(2)1000
a1+999d-(a2+999d)
a1+999d-a2-999d
therefore we get the value a1-a2
from (2) a1-a2 = 100
therefore the difference between their 1000th terms is 100
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Answer:
1/216
Step-by-step explanation:
The ratio of volumes of similar shapes is the cube of the scale factor. The filled portion of the cone is similar to the entire cone.
<h3>Linear scale factor</h3>
If the filled height is 1/6 of the total height, the scale factor for linear dimensions is 1/6.
<h3>Volume scale factor</h3>
The scale factor for the volume is the cube of the scale factor for linear dimensions. it is ...
(1/6)³ = 1/216
The volume of the filled portion of the cup is 1/216 of the volume of the cup.
Answer:
43 is the answer
Step-by-step explanation:
i just added till i got it
Answer:
Nasan po ba
Step-by-step explanation:
Paki sabi naman po sa comments
Hello,
Let's x and y the 2 numbers
x*y=24
x+y=-11==>x=-11-y
==> (-11-y)y=24
==>-11y-y²-24=0
==>y²+11y+24=0
Δ==11²-4*24=25=5²
y=(-11+5)/2 or y=(-11-5)/2
==>(y=-3 and x=-11+3) or (y=-8 and x=-11+8)
Sol={(-8,-3),(-3,-8)}
The 2 numbers are -3 et -8.
