An improper fraction is one in which the numerator is greater than the denominator.
To write 4 7/8 as an improper fraction we have.
4 7/8 = [4*8] + 7 = 32 + 7 = 39 = 39/8
Thus, 4 7/8 = 39/8.
Answer:
As illustrated
Step-by-step explanation:
since ΔABC is a isosceles right triangle, m∠A = m∠C = 45°
and the rest angles are shown in the illustration, you should be able to figure it out by your self.
Answer:
420 meters
Step-by-step explanation:
to find volume for a rectangular shape you need to do length×Width×Height
In this problem the...
Length=20
Width=12
and depth which is same as height=1.75
To find the volume you just have to do 20×12×1.75
To do this you first have to find the measure of the angle that is inside that pie-shaped part of the circle. The measure around the circle is 360 which is the same as 2pi. Subtract 5pi/3 from 2pi and you get pi/3, which happens to be a 60 degree angle. What you are looking for is arc length (not arc measure which is measured in degrees, not inches, feet, etc.) The formula for that is this:

, where beta is the arc measure in question and d is the diameter of the circle. If the central angle we found measured 60 degrees, then the arc it intercepts also measures 60 degrees, therefore s measures 300 (360-60). So now our formula looks like this:

. When you do all that math, multiplying pi in, you get an arc length of 47.1, the first choice.