Answer:
Step-by-step explanation:
I'll draw a quick sketch. It's hard to "see" this kinda of problem w/o a drawing , so start there. just draw as much as you can from what the problem tells you.
diameter = 14 cm
radius = 7 cm
pi = 3.142
PRQ = 35 °
to find Y use law of sines
sin(70) / Y = sin(55) / 7
sin(70) / sin(55) / 7 = Y ( I'll use my calculator for all the non standard angles )
sin(70) * 7 / sin(55) = Y ( and invert and multiply the fraction in the denom )
8.03007 = Y
x = 70 °
if you have questions, and you should, just put them in the comments , I'll see them later :)
Answer:
The sides of the triangle are proportional so the length of GE=18 cm
The height of flagpole is 12.5 feet.
Step-by-step explanation:
Given,
Height of woman = 5 foot
Shadow of woman = 6 feet
Ratio of height to shadow = 5:6
Shadow of flagpole = 15 foot
Height of flagpole = x
Ratio of height to shadow = x:15
Using proportion;
Ratio of height to shadow :: Ratio of height to shadow

Product of mean = Product of extreme

Dividing both sides by 6

The height of flagpole is 12.5 feet.
Keywords: ratio, proportion
Learn more about proportion at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
The lengths can be found by considering their ratio:
short : long = 1 : 5
The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.
The lengths are ...
1 : 5 = 24 in : 120 in
The pieces are 24 inches and 120 inches in length.
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Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...
s +5s = 144
s = 144/6 = 24
5s = 5(24) = 120
The lengths are 24 inches and 120 inches.
Hmmmm closest I can get to this answer is 6 or 7. The numbers don't add up and it's probably why you haven't received an answer. If you do this math:
13small candles multiplied by 10.98 = 142.74
7large candles multiplied by 27.98 = 195.86
142.74+195.86 = 338.60 which is OVER the total received.
7+13=20 candles
14small candles multiplied by 10.98 = 153.72
6 large candles multiplied by 27.98 = 167.88
153.72+167.88 = 321.60 which is UNDER the total received
Can't go any lower or higher because it's even lower or higher.
6+14=20 candles
So I wouldn't really know what to say. This isn't adding up.