If the measure of angle θ is 3π/4, the true statements are:
- sin(θ) = √2/2.
- The measure of the reference angle is 45°.
<h3>How to determine the true statements?</h3>
In Trigonometry, an angle with a magnitude of 3π/4 (radians) is equivalent to 135° (degrees) and it's found in the second quarter. Thus, we would calculate the reference angle for θ in second quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 135
Reference angle = 45°.
Also, a terminal point for this angle θ is given by (-√2/2, √2/2) which corresponds to cosine and sine respectively. This ultimately implies that sin(θ) = √2/2.
tan(θ) = cos(θ)/sin(θ)
tan(θ) = [(-√2/2)/(√2/2)]
tan(θ) = -1
In conclusion, we can logically deduce that only options A and B are true statements.
Read more on terminal point here: brainly.com/question/4256586
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Complete Question:
If the measure of angle θ is 3π/4, which statements are true. Select all the correct answers.
A. sin(θ)=sqrt2/2
B. The measure of the reference angle is 45
C. The measure of the reference angle is 30
D. The measure of the reference angle is 60
E. cos(θ)=sqrt2/2
F. tan(θ)=1
Answer:
It’s D
Step-by-step explanation:
Because you have two sides that are congruent and an angle giving you SAS
x - y = - 11 .............( 1 )
y + 7 = - 2x ...............( 2 )
from equation ( 1 )
x - y = - 11
x = -11 + y ...........( 3)
putting x in equation ( 2 )
y + 7 = - 2 x
y + 7 = -2 ( -11 + y ) y + 7 = 22 - 2 y y + 2 y =22 - 7
3 y = 15 y = 15 / 3
putting value of y in equation 3
x = -11+ ( 13 /5 ) x = -33 /3 + 15 / 3 ( l.c.m)
x = -17 / 5
check
x = -11 + y
- 17 / 5 = -11 + 13 / 5
-17 /5 = -17 / 5
Answer:
28,134 / 47 = 598.6
Step-by-step explanation:
Answer:
5 cartons of eggs were used.
Step-by-step explanation:
Since there are a total of 156 eggs used, and 96 were already used, you subtract 156 - 96 = 60. Since there 12 eggs in each carton, you divide 60 by 12 to get 5.
