A worker is to connect three equal sections of pipe. Each section is 6 2/3 metres in length, as shown below.
1 answer:
The length of the connected section of the pipe is 20 meters
To solve this question, we are going to do addition of fractions. But we must first convert the fractions from mixed fraction to an improper fraction.
<h3>Conversion of Fraction</h3>The given length are
- 6 2/3
- 6 (2/3)
- 6 (2/3)
Convert these mixed fractions into improper fractions
Now let's add up 20/3 in 3 places since they are of equal length.
From the calculation above, the length of the connected section of the pipe is 20 meters.
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Answer:
The best approximation for the measure of angle ABC is:
Third option: 58.3°
Step-by-step explanation:
This is a right triangle, because it has an angle of 90° (right angle) in vertex C, and we need one of the acute angles "x". We have the side opposite to the angle of 90° (right angle), this is the longest side in the right triangle, the Hypotenuse: H=20 cm
We have one of the legs (the sides form the right angle), and this leg is the Adjacent leg: A=10.5 cm to the angle "x".
To find the angle "x" we must use the trigonometric function that relates its adjacent leg (A) with the hypotenuse (H), and this function is cosine:
cos x = Adjacent Leg / Hypotenuse
cos x = A / H
Replacing the known values:
cos x = 10.5 cm / 20 cm
cos x = 0.525
Solving for x:
Rounding to 1 decimal place:
x=58.3°