Answer:
The volume of a sphere is 2/3 times the volume of a similar cylinder
Scale factor : 2/3
Step-by-step explanation:
Let us consider a sphere of radius r. The volume of the sphere will be given as

Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:

but h = 2r
Hence we have

We can divide the two volumes to get a constant that links them together

this will give us 2/3
Hence the scale factor for Vol sphere: Vol cylinder is 2/3
Answer:
(1/2) qt/(3/4) hr = (1/2)*(4/3) qt/hr = (2/3) qt/hr
The rule for division of fractions is: invert the denominator and multiply.
Answer:
The larger angle <K, has a measure of 120 degrees.
Step-by-step explanation:
So, a supplementary angle are two or more angles that combine to form a 180 degree straight line. So here, we need to set up an algebra equation.
2x = the larger angle (because it's two times the smaller angle)
x = the smaller angle
So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees
2x + x = 180
3x = 180
x = 60
Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle. Remember, we represented the larger angle as 2x.
2 time 60 is 120, so the larger angle is 120 degrees
Hope that helps :)
First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:


Now, let's add the components of the same direction:

To find the resultant bearing (theta), we can use the formula below:

The angle -86° is equivalent to -86 + 360 = 274°.
Therefore the correct option is b.
Answer:
C. 150
Step-by-step explanation:
It's right on Plato.