Answer:
C
Step-by-step explanation:
The cakes which overlap are the small and middle & the middle and large. The total area of overlap for these cakes will be the surface of the smallest layer's base plus the surface of the middle layer's base.
We can find the area by where r is radius which is half the diameter.
Smallest cake - D=7.5, so r=3.75
=10.5625 × π = 33.1830724035 or 33.2
Middle Cake - D=10, so r=5.
=25 × π = 78.5398163397=78.5
We add together 33.2+78.5= 111.7 cm squared
C is the closest.
Answer:
One solution
Step-by-step explanation:
Set the equations equal to each other and solve for x:
Therefore, there is only one solution
Answer:
4/10 or 2/5
Step-by-step explanation:
probability of each letter:
J = 0/10
U = 2/10
M = 1/10
P = 1/10
The general formula for an arithmetic sequence is:
<span>a(n) = a + d(n - 1) </span>
<span>a : first term </span>
<span>d : common difference (6) </span>
<span>n : number of the term </span>
<span>In your example, you are told the 6th term is 22. </span>
<span>a(6) = a + 6(6 - 1) = 22 </span>
<span>a + 30 = 22 </span>
<span>a = 22 - 30 </span>
<span>a = -8 </span>
<span>So now you have the general formula: </span>
<span>a(n) = -8 + 6(n - 1) </span>
<span>If you like you can simplify it: </span>
<span>a(n) = -8 + 6n - 6 </span>
<span>a(n) = 6n - 14 </span>
<span>Then you can plug in n = 50: </span>
<span>a(50) = 6(50) - 14 </span>
<span>= 300 - 14 </span>
<span>= 286</span>