Answer:
ok
Step-by-step explanation:
This Is The Answer Hope It Helps
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: option B is the correct answer
Step-by-step explanation:
Candace's backyard has a flower garden that covers 40% of her backyard.
If the total area of her backyard is 450 square feet, it means that her garden covers 40% of 450 square feet.
To determine how many square feet is her flower garden, we will find the value of 40% of 450 square feet. It becomes
40/100 × 450= 0.4×460 = 180 square feet
Answer:
y = 2x - 5
Step-by-step explanation:
The equation has to have the same slope -- in this case, it is 2 -- to be parallel to 2x - y = 4.
Now we have y = 2x - k.
Then, we plug in the coordinates to our new equation to solve for k.
-1 = 2(2)-k
-1 = 4-k
k = 5
So the final equation would be y = 2x - 5
