Sin 3pi/4 is angle 135 degrees or 45 degrees below 180 degrees. Hence it's opposite side is 1 and adjacent is 1, implying the hypothenus is sqrt(2). Hence
Sin 3pi/4 = 1/sqrt(2). Now multiply by sqrt(2)/sqrt(2) to get:
[1/sqrt(2).] * [sqrt(2)/sqrt(2)] = sqrt2)/2
Answer: D. y = -4x + 4
Step-by-step explanation:
Notice that the y-intercept is when x is zero and the x intercept is when y is 0.
and to write in the equation in slope intercept form , you will need the slope and the intercept.
We will use the y and x intercepts to find the slope, by find the difference in their y coordinates and dividing it by the difference in their x coordinates.
y intercept: ( 0,4)
x intercept: (1,0)
y coordinates difference: 4 - 0 = 4
x coordinates difference: 0 - 1 = - 1
Slope: 4/-1 = -4
Since the slope is -4 and the the y intercept is 4 , the equation will be
y = -4x + 4
1.A 2.D 3.B These are the answers I think is the choice to your question.
Answer:
3.28 feet
Step-by-step explanation:
One meter equals to 3.28 feet.
The question isn't exactly clear what Gema wants to use her wire for, because "wrap one meter" isn't correct.
You wrap something around something else... and you can't wrap something around a meter. You can wrap around a square meter by doing the perimeter... but then you'd need more than meter to do the perimeter of a square meter (the perimeter can be around 4 meters).
So, assuming she has a length of 1 meter to cover, she would need 3.28 feet.
We can use point slope form to solve for this.
y - 1 = -2(x - 2)
Simplify.
y - 1 = -2x + 4
Add 1 to both sides.
y = -2x + 5
Now, we can input -3 for x and solve for y, or r in this case.
y = -2(-3) + 5
y = 6 + 5
y = 11
r = 11