20\2=10
10\2=5
5\2=2.5
2.5\2=1.25
Answer:
240
Step-by-step explanation:
You have to find the area of each indivigual side and then add all the areas together. So like 9x5 is 45 so you take 45 and multiply it by 4 since there are 4 sides identical to that side and then you get 180. Then you multiply 6x5 and that gives you 30 which you then multiply by 60, so then all you gotta do is 60+180=240.
Answer:
60, 75
150 165
240 255
330 345
Step-by-step explanation:
csc 4 theta = -2 sqrt(3)/3
Write in terms of sin
1/ sin (4 theta) = -2 sqrt(3)/3
Using cross products
-2 sqrt(3) = 3 sin (4 theta)
Divide each side by 3
-2 sqrt(3)/3 = sin (4 theta)
Take the inverse sin on each side
sin ^ -1(-2 sqrt(3)/3) = sin ^ -1 (sin (4 theta))
240 +360n = 4 theta
and 300 +360n = 4 theta where n is an integer
Dividing each side by 4
240/4 +360n/4 = 4/4 theta and 300/4 +360n/4 = 4/4 theta
60 + 90n = theta and 75 +90n = theta
We want all the values between 0 and 360
Let n=0
60, 75
n=1
60+90=150 and 75+90 =165
n=2
60+180= 240 75+180=255
n=3
60+270 = 330 75+ 270 =345
Find the equation of the first line using the two given points: (1,-1) (-1,-5)
Slope = change in Y over change in x:
Slope = (-5-(-1)) / (-1-(1) = -4/-2 = 2
Now find y intercept: y - y1 = m(x-x1) = y -(-1) = 2(x-1)
Simplify to get y = 2x-3
Now a perpendicular line has a opposite reciprocal slope.
The perpendicular line would be y = -1/2x - 3
You are told the y intercept is -4 units greater, so add -4 to -3 to get -7
The answer would be A. y = -1/2x-7
Answer:
H0 : μEng = μBio
H1: μEng ≠ μBio
Step-by-step explanation:
μEng = Engineering average gpa
μBio = Biology average gpa
To test for difference between two sample means , in this case grade point average of biology majors and Engineering major.
Null hypothesis is the initial truth, which is that ; there is no difference in the mean grade point average of both biology and engineering majors
H0 : μEng = μBio
The Alternative hypothesis is the opposite of the null, which is stated has ; there is difference between the average GPA of both Engineering and Biology majors
H1: μEng ≠ μBio
