C
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1) suppose for purposes of calculation that the cake <span>is </span><span>inscribed in a square</span> of 8 by 8
the area of 1 cake=8*8=64 in²
the rectangular table area=576 in²-----> I assume square table 24 in x 24 in
576/64= 9----------- > Sue has baked 9 cakes
if just 1 <span>carrot cake
</span>then
(9-1)=8 ----------> <span>coffee cakes and lemon cakes
we know that </span><span>equal numbers of coffee cakes and lemon cakes
</span>therefore
coffee cakes=8/2=4
lemon cakes=4
carrot cake=1
the answer part 1) is
<span>the dimensions of the table are 24 in x 24 in
</span>the answer part 2) is
Sue has baked 9 cakes
coffee cakes=4
lemon cakes=4
carrot cake=1
part 3) distribution of the cakes in the table 24 in x 24 in
answer
let
Z------->carrot cake
C------->coffee cakes
L------->lemon cakes
Z-C-L or C-L-C
C-L-C Z-C-L
L-C-L C-L-C
The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
We are given that:
2nd term of geometric progression = 1 / 18
5th term = 4 / 243
Now, we can also write it as:
2nd term = a r ( where r is the common ratio and a is the initial term.)
a r = 1 / 18
5th term = a r⁴
a r⁴ = 4 / 243
Now divide 5th term by 2nd term, we get that:
a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )
r³ = 72 / 243
r³ = 8 / 27
r = ∛ (8 / 27)
r = 2 / 3
3rd term = a r²
a r² = a r × r
= 1 / 18 × 2 / 3
3rd term = 1 / 27
Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
Learn more about geometric progression here:
brainly.com/question/24643676
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Your question was incomplete. Please refer the content below:
The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term
Its 50. Because circumference is 314. Divide that by 3.14 and you get the diameter. Divide by another 2 and you get 50.
