Answer: The length of BC ≈ 12.4 cm
Step-by-step explanation:
The first thing we need to do is to find the length of BD which we can solve for with the tangent of 20° which is the opposite side over the adjacent side.
We get tan20° = BD/8.
Solve for BD and you get BD = 8tan20°.
Now we will need to solve for the length of CD which we can get from the tangent of 40°.
We get tan40° = 8/CD
Solve for CD and you get CD = 8/tan40°.
Now that we have the lengths of BD and DC, we can simply add them together to get the length of BC.
(8tan20°) + (8/tan40°) ≈ 12.4 cm
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Step-by-step explanation:
Answer:
52:49
Step-by-step explanation:
pink:green
The ratio of pink to green marbles is
3k:4k
He removes 5 green marbles and adds 8 pink marbles.
Now the ratio of pink to green marbles is
(3k + 8):(4k - 5)
This rario is equal to 29:23.
(3k + 8)/(4k - 5) = 29/23
29(4k - 5) = 23(3k + 8)
116k - 145 = 69k + 184
47k = 329
k = 7
Original amounts:
3 * k = 3 * 7 = 21 pink
4 * k = 4 * 7 = 28 green
Original total = 21 + 28 = 49
Amounts after replacement:
3k + 8 = 3(7) + 8 = 29 pink
4k - 5 = 4(7) - 5 = 23 green
Total after replacement = 23 + 29 = 52
Answer: The ratio of the total number of marbles in the jar after replacement to the total number of marbles in the jar originally is 52:49.
Answer:
15 is 12.5% of 120
35% of 160 is 56
48 is 80%of 60
11 is 20% of 55
1.Equation- a statement that two expressions are equal.
2.Expression- a phrase that represents a mathematical relationship
Step-by-step explanation:
Hope this helps! Sorry if any are wrong!
