Recall the angle sum identities:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
sin(a + b) = sin(a) cos(b) + sin(b) cos(a)
sin(a - b) = sin(a) cos(b) - sin(b) cos(a)
Notice that adding the first two together, and subtract the last from the third, we get two more identities:
cos(a + b) + cos(a - b) = 2 cos(a) cos(b)
sin(a + b) + sin(a - b) = 2 sin(b) cos(a)
Let a = 4x and b = x. Then
cos(5x) + cos(3x) = 2 cos(4x) cos(x)
sin(5x) - sin(3x) = 2 sin(x) cos(4x)
Now,
as required.
Answer:
The distribution is skewed, so use the five-number summary. range: 38, median: 16, half of the data are between 9.5 and 25
Step-by-step explanation:
In the picture attached the histogram is shown. We can see that data is skewed to the right, so we have to use the five-number summary. The range of the data is 39 - 1 = 38 (subtraction of the maximum value to the minimum value); the median is (15 + 17)/2 = 16 (if you order the values, 15 and 17 are in the middle); quartile 1 is 9.25 and quartile 3 is 25.5 (see diagram of box and whisker attached), then half of the data are between those values.
Answer:
1/4
Step-by-step explanation:
To find the roots of the expression, factor the expression by GCF.
The roots are the factors set equal to 0 and solved for x.
2x = 0
x=0
4x-1 = 0
x = 1/4
The sum is the addition of the two roots 0 + 1/4 = 1/4
Answer:
59.99999
Step-by-step explanation:
thanks hope it helps u........ pls mark me as brainliest.......if it helps☺️
Answer:
I believe the answer would be B. 9.1
Step-by-step explanation:
I am not 100% sure this is correct since I haven't done a problem like this in years but i'm like 90% sure.
