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OverLord2011 [107]
3 years ago
6

Coach kunal stacks all of the tennis balls in a square pyramid. The number of tennis balls, P(n), in n layers of the square pyra

mid is given by P(n) = P(n - 1) + n^2. Which could not be the number of tennis balls Coach Kunal has? A. 30 B. 5 C. 14 D. 9
Mathematics
1 answer:
stealth61 [152]3 years ago
4 0

Answer:

Answer A. 30 I believe.

Step-by-step explanation:

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Suppose a square ABCD has a side length of 1 unit. The arcs BD and AC are circular arcs with centers at A and D, respectively. F
Likurg_2 [28]

Answer:

1-\frac{\sqrt{3} }{4}-\frac{\pi}{6}

Step-by-step explanation:

The missing figure is shown in the attachment

The area of the shaded region = Area of Square - (Area of sector AOB + Area of equilateral  triangle BOC + Area of sector COD)

Area of Sector AOB=Area of Sector COD=\frac{30}{360}*\pi*1^2=\frac{\pi}{12}

Area of equilateral triangle =\frac{1}{2}*r*\frac{\sqrt{3} }{2}*r=  \frac{1}{2}*1*\frac{\sqrt{3} }{2}*=\frac{\sqrt{3} }{4}

Area of shade region =1^2-\frac{\sqrt{3} }{4}-\frac{\pi}{12}*2

1-\frac{\sqrt{3} }{4}-\frac{\pi}{6}

6 0
3 years ago
I need help answering the question
Troyanec [42]

x = 15 + 4y that is what I got out of it

3 0
3 years ago
Select all the expressions with accurately written descriptions.
Paha777 [63]
Let's try to divide the sentence into multiple parts and then combine it one by one to make it easier to understand. 

1. True
2 times y and 6                                                          -------->(2y+6)
the square of the sum of "2 times y and 6"             -------->(2y+6)^2
8 times  "the square of the sum of 2 times y and 6"------> 8(2y+6)^2

2. True
the difference of x and 7                            -------->(x-7)
9 and x                                                         -------->(9 + x)
2 times the product of the sum of
"9 and x" and "the difference of x and 7"-------> 2(9 + x)  (x-7)

3. True
difference of 5 times x and 3   -------->(5x-3)
the square of the difference of 5 times x and 3------->(5x-3)^2

4. False
The description should be: the product of 7 and the square of x
the product of 7 and x                        -------->(7x)
the square of the product of 7 and x -------->(7x)^2

5. True
This one should be clear as it was one sentences
the sum of y squared(y^2) and three times y(3y) minus 4-------->y^2+ 3y -4

6. False
The description should be: the product of 5 and 8 times the square of x plus the sum of 20x and 8
the sum of 20x and 8                -------->20x+8
8 plus the square of x plus the sum of 20x and 8-------->8+ x^2 +20x+8
the product of 5 and....                ------->(5)(........
the product of 5 and
8 plus the square of x plus the sum of 20x and 8---->(5)(8+ x^2 +20x+8)
5 0
3 years ago
Read 2 more answers
Each point on the coordinate plane has an address called
RideAnS [48]
I do not understand what to do , more explicitly sorry :(
8 0
3 years ago
8) Write an absolute value equation that has 5 and 15 as its solutions?
marissa [1.9K]
(I'm going to use brackets as my absolute value bars lol)
 [5 x -3]
[-15]
=15
7 0
4 years ago
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