Distance = speed rate x time
Speed rate = 120 miles per hour
Time = 3 hours
Replacing:
D = 120 mph x 3 h = 360 miles
Answer:
<u>Given</u>
- tanθ = 3.454
- θ is in the III quadrant
We know in the III quadrant both sine and cosine are negative.
<u>Use the following identities to get values of sinθ and cos θ</u>
- sinθ = - tanθ/√(1 +tan²θ)
- cosθ = - 1/√(1 +tan²θ)
<u>Substitute the value of tanθ and find sine and cosine:</u>
- sinθ = - 3.454/√(1 + 3.454²) = - 0.961
- cosθ = - 1/√(1 + 3.454²) = - 0.278
The number of questions in the test is 30
Step-by-step explanation:
Let's call the total number of questions in the test N.
We know that Laura answered 27 questions, and these 27 questions represent the 90% of the test.
Therefore, we can say that 27 is the 90% of N.
Re-writing the percentage as a fraction,
This means that:
And now we can solve for N to find the number of questions in the test:
Learn more about percentage:
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Answer:
The wheel have made revolutions.
Step-by-step explanation:
The total distance traveled during the race is
D = 4510km [(1000m)/(1km)] =
The radius (r1) of the smaller bicycle wheel is
r1 =
Than the larger wheel has a radius
r2 = 0.329 m + 0.012 m = 0.341 m
Over the same distance this wheel would make N2 revolutions
N2 =
In order to find the slope of a line, u must use the slope formula. Which is (y2-y1/x2-x1). For example if you had a set of coordinates that are (6,4) and (2,8) you would first sub the 8 from4 which gives you 4. The u do the same with 2 and 6 which gives u 4. After that you divide 4 by 4. and your answer is 1