Answer:
OPtion I is right
Step-by-step explanation:
Once we know sin of an angle, and it lies in II quadrant, we know that
cos, sec, tan and cot would be negative but csc will be positive.
So use the fact that

Thus cos is obtained using negative square root.
Now tan = sin/cos, and sec = 1/cos:
cot =1/tan and csc =1/sin
Thus all value can be obtained easily
So option I
The equation to find the volume of a cylinder is V = pi•r^2•h.
The radius is half of the diameter. Since Mr. James' beakers have a diameter of 4, their radius would be 2. 2 squared is 4.
Their height is 9 inches.
V = 3.14•4•9
V = 3.14•36
V = 113.04
The answer is C, or 113.04 cubic inches.
Answer:
The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 23 - 1 = 22
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.0739
The margin of error is:
M = T*s
In which s is the standard deviation of the sample.
In this question:
s = 3.
Then
M = 2.0739*3 = 6.22
The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.
Answer:
<u>The length of the longer segment of the 50 cm chord = 40</u>
Step-by-step explanation:
let the length of the longer segment of the 50 cm chord = x
so, the other segment = 50 - x
A chord of 50 cm bisects a chord of 40 cm
using the Intersecting Chords Theorem
so, x(50-x) = 20 * 20
50x - x² = 400
x² - 50x + 400 = 0
(x - 40)(x - 10) = 0
x = 40 or x = 10
<u>So, the the length of the longer segment of the 50 cm chord = 40</u>