Answer:
3^4
Step-by-step explanation:
One is 6 years old, one is 16 as per the rules. Now we have 5 unknowns, of which either the twins can be both a part of, or one can be either 6 or 16 as well.
Since the mode is the most frequently occurring number, let's assume that 15 years old appears twice to make it so.
Now we have one 6 y.o, two 15 y.os, and one 16 y.o.
Out of 7 kids, the middle child has to be 10 years old to secure the median.
Now we just have two missing, and we need to figure out the mean. 6+15+15+10+16 is 62, dividing by 5 is 12.4 The mean is currently 12.4 years old. For the mean to be 11, the combined total has to be 77 (since 77/7 kids is 11 mean) 77-62 is 15. But to make sure the median stays 10, both of those kids have to be less than 10 but more than 6. Therefore, their ages must be 7 and 8.
Their ages are 6, 7, 8, 10, 15, 15, 16
Let's double check to make sure we have all the qualifications. 7 kids, check. Youngest 6, check. Oldest 16, check. Twins, check. Median of 10, check. Mode of 15, check. Average of 11, well 6+7+8+10+15+15+16 is 77, 77/7 is 11, so check. Phew.
Answer:
Step-by-step explanation:
a) The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle from the the lengths of the legs:
c² = a² + b²
c = √(a² + b²) = √(13.4² +9.54²) ≈ 16.45 . . . meters
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b) Using an appropriate vector calculator, you can find the sum of the given forces to be ...
100∠140° +200∠70° +160∠250° = 119.733∠121.704°
The forces have a resultant equivalent to a force at 121.7°.
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If you're calculating this by hand, you can add the components of the forces:
a∠b = (a·cos(b), a·sin(b))
100∠140° ≈ (-76.604, 64.279)
200∠70° ≈ (68.404, 187.939)
160∠250° ≈ (-54.723, -150.351)
(Values are shown rounded here. You never round intermediate calculations, but maintain full calculator precision until the final answer.) Then the sum of these forces is approximately ...
resultant ≈ (-62.924, 101.866)
The (second quadrant) angle of this resultant is ...
angle = arctan(101.866/-62.924) ≈ 121.7°
Answer:
use www. desmos. com lol
Step-by-step explanation:
Answer:
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Step-by-step explanation:
i had the same answer and got it right
