Answer:
<em>The correct option is: B. 9</em>
Step-by-step explanation:
The number of tennis balls,
, in
layers of the square pyramid is given by: ![P(n)=P(n-1)+n^2](https://tex.z-dn.net/?f=P%28n%29%3DP%28n-1%29%2Bn%5E2)
As the stack of the tennis balls is in shape of a square pyramid, that means <u>in the top layer, there will be one ball</u>. So, ![P(1)= 1](https://tex.z-dn.net/?f=P%281%29%3D%201)
Now, if
then ![P(2)= P(2-1)+(2)^2 = P(1)+4=1+4=5](https://tex.z-dn.net/?f=P%282%29%3D%20P%282-1%29%2B%282%29%5E2%20%3D%20P%281%29%2B4%3D1%2B4%3D5)
If
then ![P(3)=P(3-1)+(3)^2=P(2)+9=5+9=14](https://tex.z-dn.net/?f=P%283%29%3DP%283-1%29%2B%283%29%5E2%3DP%282%29%2B9%3D5%2B9%3D14)
If
then ![P(4)=P(4-1)+(4)^2 = P(3)+16=14+16=30](https://tex.z-dn.net/?f=P%284%29%3DP%284-1%29%2B%284%29%5E2%20%3D%20P%283%29%2B16%3D14%2B16%3D30)
That means, the number of tennis balls from the top layer will be: 1, 5, 14, 30, .......
So, the number of tennis balls that Coach Kunal could not have is 9.
Hello :),
2x+2=6
2x=6-2=4
x=4/2=2
So when x=2, 2x+2=6
==========================================================
When x=1
2×1+2=4
When x=3
2 × 3 +2 =6+2=8
When x=4
2 × 4 +2 = 8+2=10
==========================================================
Answer:
1. 10 degrees
2. x=35
3. x=20
Step-by-step explanation:
1. 90-80=10
a complementary angle is 90 degrees
2. 70/2=35
vertical angles are congruent
3. 90-30=60/3=20
it's a 90 degree angle
Add 4 to each side and the divide each side by 2.
1