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:
8
Step-by-step explanation:
<em>we have to follow PEDMAS.</em>
<u>what we have to do in each operation:</u>
Parenthesis ~ 100 + 8 to the second power
Exponents ~ 10 to the 2nd power, 8 to the 2nd power, 2 to the 3rd power
Multiplication ~ none
Division ~ 10 to the 2nd power - (100 + 8 to the second power) divided by 2 to the 3rd power
Addition ~ 100 + 8 to the 2nd power
Subtraction ~ 10 to the 2nd power - (100+8 to the second power)
<u>doing the work:</u>
we start with P: but in what we have to do in the Parenthesis, there is an exponent and addition. we do the exponent first. 8 to the second power is 64. now we can add. 100 + 64 = 164.
E: we did the 2nd exponent, but we need the other 2 for later. 10 to the 2nd power is 100, and 2 to the 3rd power is 8.
we can skip M because there isn't any multiplication to do.
D: we have to do 10 to the 2nd power - (100 + 8 to the second power) first. 100-164= 64. now we can devide. 64 devided by 8 = 8
A: we already did the addition in the parenthesis part.
S: we already did the addition in the parenthesis part.
Using the given information find the length and width of the base:
Perimeter = 2L + 2W
L = 3W
Replace L in the first equation:
Perimeter = 2(3W) + 2w
96 = 2(3W) +2W
Simplify:
96 = 6W +2W
96 = 8w
Divide both sides by 8:
w = 96 / 8
w = 12
The width is 12 inches.
The length = 3 x 12 = 36 inches.
Volume = L x W X H
Volume = 36 x 12 x 14
Volume = 6,048 cubic inches.
9514 1404 393
Answer:
x - 6
Step-by-step explanation:
For values of x greater than or equal to 6, the difference x-6 is non-negative, so the absolute value function does nothing. The value is ...
x -6
Answer:
Yes, it costs $18.99.
Step-by-step explanation:
The game is originally $36 and a game 50% off is 36/2 = $18.
The sale price is $18.
The state charges 5.5% tax which means you pay 105.5% of the sale price.
1.055(18) = 18.99
The final total is 18.99 which means Ron's $19 is enough.
