k is 400 square feet per pound
Step-by-step explanation:
In this problem, we know that a 10-pounds bag of grass seed covers an area of about 4000 square feet.
We can write the relationship between pounds of grass seed (p) and area (a) as
where k is the constant of proportionality between the two variables.
We can find the value of k simply by re-arranging the equation and substituting the values of a and p.
Re-arranging the equation,
And substituting the values of a and p,
Which means k is equal to 400 square feet per pound.
Learn more about equations:
#LearnwithBrainly
Answer:
Triangle ABC is dilated by a scale factor of 1.5
Step-by-step explanation:
The general rule for the dilation about the origin with a factor of k is
You are given two triangles ABC and A'B'C'.
In triangle ABC:
From the diagram, in triangle A'B'C':
As you can see
So, triangle ABC is dilated by a scale factor of
Answer: sqrt(2)/2 which is choice D
======================================================
Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
------------
Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
