Note the graph of an athletes performance after finishing a triathlon. The x-axis measures time in hours, and the y axis measure
s distance in kilometers. First she swam, then biked, and then she finished the race with a run. The data states she ran four times as fast as she swam and she biked twice as fast and she ran. Based on the graph, chose the statement below that is false.
A) the steeper the segment, the faster the athlete is traveling along the course
B) the athlete finished the course in under eight hours
C) the athlete spent equal amounts of time biking and running
D) the athlete spent twice as much time biking compared to swimming
A) the steeper the segment, the faster the athlete is traveling along the course
B) the athlete finished the course in under eight hours
C) the athlete spent equal amounts of time biking and running
D) the athlete spent twice as much time biking compared to swimming
1 answer:
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Answer:
Step-by-step explanation:
We are asked to find x, a missing side in a triangle.
This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:
- sinθ= opposite/hypotenuse
- cosθ= adjacent/hypotenuse
- tanθ= opposite/adjacent
Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is <u>opposite</u> angle S. Side QS, measuring 2.3, is the <u>hypotenuse</u> because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.
- θ= 54
- opposite= x
- hypotenuse = 2.3
We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3
Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.
x is approximately <u>1.9</u>