Step-by-step explanation:
½ [cos(a − b) − cos(a + b)]
Using sum and difference formulas:
½ [cos a cos b + sin a sin b − (cos a cos b − sin a sin b)]
Distribute the negative:
½ (cos a cos b + sin a sin b − cos a cos b + sin a sin b)
Combine like terms:
½ (2 sin a sin b)
Simplify:
sin a sin b
Mean is the average of the data set, which is found by adding all values together and then dividing that sum by the number of data values.
Median is the middle number of the data set, and can be found by ordering the values from least to greatest. If there are two middle numbers, the average of the two would be the median.
Mode is the number that shows up most frequently in the data set.
Range is found by subtracting the lowest number from the highest number in the data set.
<u>Set 1</u>
Mean:
18+20+22+11+19+18+18=126
126÷7=18
Median:
11, 18, 18, 18, 19, 20, 22 → 18
Mode: 18
Range: 22-11=11
<u>Set 2</u>
Mean: 23+27+24+26+26+24+26+24=200
200÷8=25
Median:
23, 24, 24, 24, 26, 26, 26, 27 → 24+26=50 → 50÷2=25
Mode: 24 and 26
Range: 27-23=4
Answer:
Step-by-step explanation:
Triangle XYZ is a right angle triangle.
From the given right angle triangle
XZ represents the hypotenuse of the right angle triangle.
With ∠34 as the reference angle,
YZ represents the adjacent side of the right angle triangle.
XY represents the opposite side of the right angle triangle.
To determine x, we would apply the Cosine trigonometric ratio
Cos θ = opposite side/hypotenuse. Therefore,
Cos 34 = x/28
x = 28Cos34 = 28 × 0.8290
x = 23.212
To the nearest tenth, it becomes
23.2
Answer:
<u>Use Pythagorean theorem:</u>
#7
- 3² + 7² = 9 + 49 = 58
- (√57)² = 57
- 58 ≠ 57
- No
#8
- 11² + 2² = 121 + 4 = 125
- (5√5)² = 25*5 = 125
- 125 = 125
- Yes
