He passed out 91 objects. 13 x 4 = 52 + 39 = 3 x 13
Hello!
First of all let's eliminate the answers that do not make sense. For A. numbers are NOT irrational because they are a fraction. Numbers are also not irrational because they are a repeating number. C and D are both correct as fractions and terminating decimals are both rational numbers.
34/3≈11.33333333
By using a certain formula you can convert repeating decimals to a fraction. But most people know that .3333333 is 1/3. This gives us 11 1/3 as our answer. So what does it match? It is not a terminating decimal. It repeats but can be written as a fraction. Therefore our answer is C) Rational, because it is a fraction.
I hope this helps!
Answer:
The volume of the solid is π/40 cubic units.
Step-by-step explanation:
Please refer to the graph below.
Recall that the area of a semi-circle is given by:
The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:
Substitute:
Simplify:
Integrate:
![\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20%5Cleft%5B%5Cfrac%7Bx%5E5%7D%7B20%7D%5CBig%7C_0%5E1%5Cright%5D)
Evaluate:
The volume of the solid is π/40 cubic units.
Answer:
C. 20
Step-by-step explanation:
Take a value from the x-axis (Width) and the y-axis (Height) and substitute them into the equation. I'll use the point (5, 4).
Height = Constant/Width
4 = Constant/5 (Given)
20 = Constant (Multiplied 5 on both sides)
Answer: No Triangle: 30 , 85 , 60, and 2, 8, 10
One Triangle: 7, 24, 25
Many Triangles: 45, 45, 90 5, 15, 160
