Answer:
Part A: 6
Part B: 6√3
Step-by-step explanation:
Part A:
Since one angle measures 30°, and another angle is a right angle measuring 90°, the third angle measures 60°.
In a 30-60-90 the short leg is half of the hypotenuse.
YX = 12/2 = 6
Part B:
Method 1:
In a 30-60-90 triangle, the length of the long leg is √3 times the length of the short leg.
YZ = 6√3
Method 2:
Use the Pythagorean theorem.
a² + b² = c²
6² + (YZ)² = 12²
(YZ)² = 108
YZ = √(108)
YZ = √(36 × 3)
YZ = 6√3
Answer:
The answer to your question is given below
Step-by-step explanation:
From the question given above, the mean score is 23.
Thus, we can obtain the distance from the mean (absolute deviation) by using the following formula:
Mean deviation = | mean – Score |
Mean = 23
For Score 21:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 21 | = 2
For Score 22:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 22 | = 1
For Score 28:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 28 | = 5
For Score 29:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 29 | = 6
SUMMARY:
Score >> Mean >> Absolute deviation
21 >>>>> 23 >>>>> 2
21 >>>>> 23 >>>>> 2
21 >>>>> 23 >>>>> 2
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
28 >>>>> 23 >>>>> 5
29 >>>>> 23 >>>>> 6
Answer:11
Step-by-step explanation: Bases of trapezoid : 11 meters and 14 meters
height of trapezoid : 10 meters
Area of trapezoid = (sum of bases / 2) height
A = (11m + 14m)/2 * 10m
A = 25m / 2 * 10m
A = 12.5m * 10m
A = 125m²
Answer:
10%
Step-by-step explanation:
(1650 - 1500)
/1500
= 10%
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