Cos(θ) = -20/√((-20)^2 +(-21)^2)
.. = -20/-√841 . . . . . . . . . . . . . . . . . θ is a 4th-quadrant angle, so cos(θ) > 0
.. = 20/29
The value of the cosine is 20/29.
<h3>
Answer: Yes it is linear.</h3>
Explanation:
The given equation is the same as y = 0x - 7. It matches the form y = mx+b which is slope intercept form of a linear equation.
The slope m = 0 always applies to horizontal lines. All points on this line have a y coordinate of -7.
Answer:
Molly's estimation was approximately correct.
Step-by-step explanation:
Given:
Diameter of bike tire = 2 feet
Also Given:
She estimated that for every turn of the tire, the bike traveled about 6 feet.
Estimated Distance traveled = 6 feet
We need to find that whether her estimation reasonable.
Solution:
Now we know that Distance traveled is equal to Circumference of tire.
Since Tire is in circular shape.
We can say that;
Circumference of the tire will be π times diameter.
framing in equation form we get;
Circumference of the tire = 
Now The actual distance traveled is 6.28 feet and Molly estimated as 6 feet.
Hence we can say that Molly's estimation was approximately correct.
Answer:
The volume of the ball is 256 cm³
Step-by-step explanation:
we know that
The density is equal to the ratio of the mass by the volume
D=m/V
Solve for V
The volume is equal to the ratio of the mass by the density
V=m/D
In this problem we have
m=128 g
D=0.5 g/cm³
substitute
V=128/0.5=256 cm³
Not sure if there're any answer choices of some sort,
but if the angle a and angle b are supplementary, that means when you add their measures together they must equal 180.