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
Answer:
96square feet
Step-by-step explanation:
Given data
Area of bathroom=36 square feet
Area of living room= 60 square feet
Hence the total area of the Bathroom and the living room combined is
= 36+60
=96square feet
Let
x------> the number of multiple choice question
y------> the number of free response question
we know that
-----> equation A
-----> equation B
Substitute equation B in equation A
![3[15-y]+8y=55](https://tex.z-dn.net/?f=3%5B15-y%5D%2B8y%3D55)
Find the value of x
therefore
<u>the answer is</u>
the number of multiple choice question are 
the number of free response question are 
<h3>Sample space = {a,b,c,d,e,f}</h3><h3>Event space = {a,c}</h3>
We simply list all of the letters mentioned as they are the possible outcomes. We can only pick one item from the sample space. The event space is the set of outcomes where we want to happen (picking either an 'a' or 'c').
Answer:
The procedure for this case is add three, then divide by 5.
Step-by-step explanation:
if y=5x-3
to find the inverse, we exchange x and y then solve for the new y.
x=5y-3 add 3
x+3 = 5y divide by 5
(x+3)/5 = y
or
inverse, y=(x+3)/5
The procedure for this case is add three, then divide by 5.
