Alberto measures the length of a piece of wire to be 105 cm. The actual length of the wire was 120 cm. What was the percent erro
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Answer:
is isosceles.
Step-by-step explanation:
Please have a look at the attached figure.
We are <u>given</u> the following things:
Let us try to find out and
. After that we will compare them.
<u>Finding </u><u>:</u>
Side EG is a straight line so
is sum of internal
and external
<u>Finding </u><u>:</u>
<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.
i.e. external =
Comparing equations (1) and (2):
It can be clearly seen that:
The two angles of are equal hence
is isosceles.
Using the relation between velocity, distance and time, it is found that the rate of the current is of 3.33 mph.
<h3>What is the relation between velocity, distance and time?</h3>Velocity is distance divided by time, hence:
v = d/t
A small motorboat travels 12mph in still water. With the current, upstream, 46 miles are traveled in t hours, hence:
12 + r = 46/t
r = 46/t - 12
Downstream, the time is of t + 2 hours, hence:
12 - r = 46/(t + 2)
r = 12 - 46/(t + 2)
Hence, equaling the values for r:
46/t - 12 = 12 - 46/(t + 2)
46/t + 46/(t + 2) = 24
92t + 92 = 24t² + 48t
24t² - 44t - 92 = 0
Using a quadratic equation calculator, the solution is t = 3. Hence the rate is found as follows:
r = 46/t - 12 = 46/3 - 12 = 3.33 mph.
More can be learned about the relation between velocity, distance and time at brainly.com/question/28155966
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