Answer:
Step-by-step explanation:
The figure given has two similar triangles: ΔABC and ΔDEF. Although the triangles are similar, their orientation is different and ΔDEF is flipped. Since the triangles are similar, their side lengths are proportional to each other. Given the orientation of the triangles, we can still see that the diagonal (hypotenuse) for the larger triangle is AC and the smaller is DF. The only answer that matches these up proportionally is the third one. Looking at the second side, BC, we can see that this matches up to the longer leg of EF on the smaller triangle. Final answer being:
Answer:
9th Triangle
Step-by-step explanation:
Given the area of four triangles:
If the Scale factor is 1.5.
This is a geometric sequence and the common ratio is 1.5 X 1.5.
Therefore, the area of any n triangle can be determined using the function:
We want to determine which triangle has an area greater than .
When A(n)=15000
Therefore, the 9th triangle has an area greater than .
You would use long division to determine that 8/12 = 0.667 approximately. The steps would go something like this
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Step 1) Write 8 under a long division bar and place 12 to the left and outside the bar
Step 2) Change the 8 into 8.0000 (you can have as many trailing zeros as you want)
Step 3) While 12 doesn't go into 8, 12 does go into 80. So you can think of 8.0 as 80. Ask yourself "how many times does 12 go into 80?". The answer is 6 times because 6*12 = 72 (note how 7*12 = 84 is too big). So we write a "6" above the 8.0000 such that it is above the first "0". So far we have 0.6 as the quotient.
Step 4) Multiply that 6 by 12 to get 72. We write the 72 under the 80 and then subtract to get 80 - 72 = 8. Pull down the second 0 from "8.0000" to change that 8 into 80.
Step 5) We effectively repeat steps 3 and 4 again. So thats why we get another 6 as the next part of the quotient, and why the 6's repeat forever. The only reason why there's a 7 at the end is because of rounding.
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The long division is shown in the image attachment below. The gridlines are there to show how things line up though when you write out the long division steps (to show to your teacher) you wont use any grid lines.
side note: the fraction 8/12 reduces to 2/3. You divide both top and bottom by the GCF 4. So 8/4 = 2 and 12/4 = 3.
Answer:
A= wl
l Length
w Width
Step-by-step explanation:
Answer:
D. This sequence is a function because each output (even terms in sequence) maps to one input (odd terms in sequence).
Step-by-step explanation:
0, 10, 2, 12, 4, 14, 6, 16, 8, 18, 10, 20
he startes with $0 he gits his first allowance wich is $10, he spends $8 and saves $2. he gits anuther $10 and the remaning $2 is $12 he spends $8 he has $4 gits anuther $10 and the remaning $4 is $14 he spends $8 he has $6 he gits anuther $10 and the remaning $6 is $16 he spends $8 he has $8 he gits anuther $10 and the remaning $8 is $18 he spends $8 he has $10 he gits anuther $10 and the remaning $10 is $20.
hope this helped
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