Answer:
y=-1/4x+2
Step-by-step explanation:
Slope intercept form is :
y=mx+b
where m is the slope, and b is the y intercept.
We are given the slope, it is -1/4. We are also given the y intercept, it is (0,2). For this form, the 0 in (0,2) is ignored, and we consider the y intercept to be 2.
So, m is -1/4, and b is 2. Substitute the values into the equation above.
y= -1/4x+2
So, the equation in slope intercept form is
y= -1/4x+2
Answer=About 140 students spoke another language
34%=34/100=0.34
413*0.34=140.42 students spoke another language
since we can't have .42 of a student, lets round to the nearest whole number...
About 140 students spoke another language
Answer:
The answer is
.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
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Answer:(350+12x)/x
Step-by-step explanation:
First, you need to find the amount of money Samantha can earn throughout the week. This is represented by 12x+350
Then, divide that by the number of hours worked in a week (x).
Then, set it equal to 22 (the average hours worked).
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