Das is similarity
the 2 triangles are similar because of math ( don't remember which theorem or whatever)
so since similar
we have to find the bottom length
use right triangle properties
a²+b²=c²
14²+5.5²=c²
196+30.25=c²
226.25=c²
√226.25=c
ten, we do similarity
the hyptonuse of smaller triangle to base of smaller triangle is √226.25:5.5
since the triangles are similar, that should be equal to the ratio of the hypotonuse of the largger triangle to the base, which is x:√226.25
so
x/√226.25=√226.25/5.5
times both sides by √226.25
x=226.25/5.5
x≈41.1363636
the height of screen is 6 less than total
41.13636-6=35.13636
height of screen is about 35ft
The height of the candle after 8 hours is 19.2 centimeters
<h3>How to determine the height of the candle after 8 hours?</h3>
The given parameters are:
Slope, m = -0.6
Points: (x, y) = (17, 13.8)
A linear equation can be represented as:
y = m(x - x1) + y1
Substitute the points (x, y) = (17, 13.8) in the above equation y = m(x - x1) + y1
So, we have
y = m(x - 17) + 13.8
The slope is -0.6
So, we have:
y = -0.6(x - 17) + 13.8
After 8 hours, we have
x = 8
Substitute x = 8 in y = -0.6(x - 17) + 13.8
y = -0.6(8 - 17) + 13.8
Evaluate
y = 19.2
Hence, the height of the candle after 8 hours is 19.2 centimeters
Read more about linear equations at:
brainly.com/question/14323743
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Answer:
I believe the answer is substitution
Step-by-step explanation:
Hope this Helps :)