4) Frazer scores 43% in a spelling test. What percentage did he get wrong?
1 answer:
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Answer:
- 7.71 km²
Step-by-step explanation:
<u>Area of triangle:</u>
- A = 1/2bh
We have the value of b but not h.
Added auxiliary segments which help to find the value of h.
<em>See attached for details</em>
- sin 40° = h/4
- h = 4 sin 40°
- h = 2.57 km
<u>The area is:</u>
- A = 1/2*6*2.57 = 7.71 km²
Point F is on line a, so it does represent Josiah's distance at a certain time. Also, point F is below line b, so it represents a distance that is less than Chana's distance. This is a distance-time graph problem.
<h3>What is the proof for the above?</h3>
Recall that Josiah had a head start of 10 meters and he skates at 2 meters per second.
Since Y is the function that represents the distance in meters from the finished line, by observation, it is clear to see that all the factors that are related to his race are adequately represented in:
y = 10 + 2x
Where 10 is the head start in meters
2 is the rate at which he skates per second; and
x is the unknown amount of time in seconds.
Given that the point F sits over 25 seconds,
that is F(y) = 10 + 2 * 25
= 60 meters.
Hence, Point F is on line a, so it does represent Josiah's distance at exactly 25 seconds.
Learn more about distance-time graphs at:
brainly.com/question/4931057
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