Answer:
Identity is verified.
Step-by-step explanation:
We have to verify the identity 
To prove any identity we always prove one side(either left hand side or right hand side) of the equation equal to the other side.
In this identity we take the left hand side first

(as we know cos(a+b) = cosa×cosb-sina×sinb)


= - sinx ( Right hand side)
Hence identity is proved.
Answer: 56.549 or 56.5
Explanation:
C= (pie) 3.14 * d = 2 * 3.14 * r
D= 18
C = 3.14 * 18 = 18 * 3.14
C = 56.549 or 56.5
Answer:
3/10 of the renaming full pizza has pepperoni
Step-by-step explanation:
Here, we want to calculate how much of the remaining pizza had pepperoni.
From the question, 1/2 has pepperoni and 1/2 is plain without pepperoni
she eats 1/5 of the pizza having pepperoni, this means that she is actually left with some parts is the half having pepperoni
The actual of the half remaining with pepperoni will be 1/2 - 1/5 = 3/10
This means that 3/10 of the remaining full pizza has pepperoni
Answer:
About 99.7% of births would be expected to occur within 51 days of the mean pregnancy length
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Standard deviation = 17.
About what percentage of births would be expected to occur within 51 days of the mean pregnancy length?
51/17 = 3.
So, within 3 standard deviations of the mean.
About 99.7% of births would be expected to occur within 51 days of the mean pregnancy length