Austin takes 1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is π/ radians per second.
1 answer:
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Answer:
330
Step-by-step explanation:
When we are at 30 degrees on the unit circle, we are at the point (/2, 1/2) so if we go to -30 degrees (330 degrees), we will be at point (-
/2, -1/2).
Note: (cosine, sine)
Answer:
Option A.) 20 pounds of walnuts and 25 pounds of almonds is correct.
Step-by-step explanation:
i) let x be the the number of pounds of almonds
ii) let y be the number of pounds of walnuts
iii) therefore x + y = 45 pounds of the mixture
iv) 1.2x + 0.75y = 1.00 45 = 45
v) Multipling equation in iv) by 4 we get
4.8x + 3y = 180
vi) multiplying equation in iii) by 3 we get
3x + 3y = 135
vii) subtracting equation vi) from equation v) we get 1.8x = 45
ix) therefore we get x = 45/1.8 = 25 pounds of almonds
x) therefore 25 + y = 45 .... substituting value of x from ix) in iii) we get
therefore y = 20 pounds of walnuts
Therefore option A.) 20 pounds of walnuts and 25 pounds of almonds is correct.