Answer:
option 2.
m1 = 147° m2 = 80° m3 = 148°
Step-by-step explanation:
a flat angle has 180 °
m1 + 33 = 180
m1 = 180 - 33
m1 = 147
47 + 33 + x = 180
x = 180 - 47 - 33
x = 100
as they are two crossed lines the angle is reflected from the opposite side
48 + 100 + y = 180
y = 180 -100 - 48
y = 32°
180 = m3 + 32
m3 = 180 - 32
m3 = 148
With the same principle as the previous one we know that the angle of a turn is 360 °, if we subtract the 2 known angles and divide it by 2 we will obtain the missing angle
m2 * 2 = 360 - 100*2
m2 = 160 / 2
m2 = 80
Answer:
Step-by-step explanation:
The slope of the tangent to a curve is the derivative of the curve. We need to find the derivative of the function and then evaluate the derivative at that given x value. The derivative is found using the product rule:
Let's call 3x our f(x) and sin(x) our g(x). Filling in the formula for the derivative using the product rule looks like this:
That gives us the derivative, which is the slope formula that can be used at ANY x value anywhere on the curve to find the slope of the line tangent to the curve at that x value. If we want to find the slope of the tangent line to the curve at x = pi/2, we evaluate the slope formula at x = pi/2 (remember that y' is the same exact thing as the slope):
From the unit circle (or experience, since you're in advaced math), we know that the cosine of pi/2 is 0 and that the sin of pi/2 = 1:
simplifies to
y' (slope) = 3
That means that the slope of the line tangent to the curve at the point x = pi/2 is 3.
The perimeter of the larger octagon would be 238 units. This is because the given side is multiplied by 7, so if you do this to all sides and then add them up, you get 238. To check, you can divide 238 by 34 and get 7.
Answer:
(c) A false negative (concluding the job candidate is not a drug user when he or she indeed is)
Step-by-step explanation:
First, we need to determine if it is possible for type II error to occur or not.
In analysis, type 2 error occurs when the stated null hypothesis is false.
The given null hypothesis here is "a job candidate is not a drug user" which indicates false. This means that option (e) cannot be the solution.
Having established that there is a possibility for an occurrence of type II error.
Next, is to determine the error.
Type II error implies false negative; hence, options (a), (b) and (d) cannot be the solution.
(c) is correct.
The answer is 45.7 i found it with a calculator
