Answer:
Reference angle will be 30°
sin(330°) will be equal to 
cos(330°) will be equal to 0.866
Step-by-step explanation:
We have given angle is 330°
As the angle
is in forth quadrant
We know that in forth quadrant the reference angle is given by
Reference angle 
As the angle is 330°
So the reference angle will be 
Now we have to find the value of
sin(330°) 
And now 
Answer:
C. 3.33 hours
Step-by-step explanation:
Use the algebra work equation:
=
+
, where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person
Plug in the values we know:
=
+ 
=
+ 
= 
20 = 6tb
3.33 = tb
So, it would take them 3.33 hours when working together.
The 24th term is 152
Step-by-step explanation:
The formula of the nth term of an arithmetic sequence is:
, where
- a is the first term
- d is the common difference between consecutive terms
The third term means n = 3
∵ 
∴ 
∵
= 5
- Equate the right hand sides of the third term
∴ a + 2d = 5 ⇒ (1)
The fifth term means n = 5
∵ 
∴ 
∵
= 19
- Equate the right hand sides of the fifth term
∴ a + 4d = 19 ⇒ (2)
Now we have a system of equations to solve it
Subtract equation (1) from equation (2) to eliminate a
∴ 2d = 14
- Divide both sides by 2
∴ d = 7
- Substitute the value of d in equation (1) to find a
∵ a + 2(7) = 5
∴ a + 14 = 5
- Subtract 14 from both sides
∴ a = -9
The twenty fourth term means n = 24
∵ a = -9 and d = 7
- Substitute the values of a and d in the formula of the nth term
∴ 
∴ 
∴ 
∴ 
The 24th term is 152
Learn more:
You can learn more about the arithmetic sequence in brainly.com/question/7221312
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The value of m is 2450
<h3>What is Equation?</h3>
Two or more expressions with an Equal sign is called as Equation.
The given equation is
2(14m/400)=171.5
Distribute 2 with numerator on LHS
28m/400=171.5
14m/200=171.5
7m/100=171.5
Multiply 100 on both sides
7m=17150
m=2450
Hence, the value of m is 2450
To learn more on Equation:
brainly.com/question/10413253
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