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hram777 [196]
2 years ago
11

out of a group of zebras 6/5 times the square root of the number of zebras are playing on the shore of the tank remaining six ar

e quarrelling in the water calculate the total number of zebras​

Mathematics
1 answer:
MatroZZZ [7]2 years ago
3 0

Answer:

Step-by-step explanation:

(6/5)√x = x - 6

(36/25)x = x² - 12x + 36

0 = x² - 13.44x + 36

x = (13.44 ± √(13.44² - 4(1)(36))) / (2(1))

x = (13.44 ± 6.052569702...) / 2

x = 3.69371... zebras

or

x = 9.74628... zebras

In either case we have some odd fractions of zebras hanging around. This makes me highly suspect that the question is misreported

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Is 4-heap Nim with heaps of sizes 22, 19, 14, and 11 balanced or unbalanced? Player I's first move is to remove 6 coins from the
nadya68 [22]

Answer:

Player II should remove 14 coins from the heap of size 22.

Step-by-step explanation:

To properly answer this this question, we need to understand the principle and what it is exactly is being asked.

This question revolves round a game of Nim

What is a game of Nim: This is a strategic mathematical game whereby,  two opposing sides or opponent take turns taking away objects from a load or piles. On each turn, a player remove at least an object and may remove any number of objects provided they all come from the same heap/pile.

Now, referring back to the question, we should first understand that:

                        22₂ = 1 0 1 1 0

                         19₂= 1 0 0 1 1

                         14₂= 0 1 1 1 0

                          11₂= 0 1 0 1 1

and also that the “bit sums” are all even, so this is a balanced game.

However, after Player I removes 6 coins from the heap of size 19, Player II should remove 14 coins from the heap of size 22.

3 0
3 years ago
Im really struggling with these questions can anyone help me?
Alchen [17]
Q1
the clothes are on 45% discount, wich mean they become 55% of their original price.

30× 55% =16.5
64×55%=35.2

the new salary is 103% of the original

10×103% = 10.3
11600×103% = 11,948

Q2:

1+0.24= 1.24
1- 0.27= 0.73

86×140%= 120.4
440×119%= 523.6
82×90% = 73.8
480× 73%= 350.4
8 0
3 years ago
Hayden graphed the following linear function on an (x,y) coordinat plane. g(x) = 3x -4.5 What is the y-intercept of the graph of
777dan777 [17]
-4.5 if you were to graph the linear function.
6 0
2 years ago
I know the answer but I need to explain how to get the answer. Please help❤️
kondaur [170]

Answer:

730, 735, 740

Step-by-step explanation:

Let the three consecutive multiples of 5 be, x, x+5 and x+10

Given,

x + x+5 + x+10 = 2205

3x + 15 = 2205

Subtract 15 from both sides,

3x = 2205 - 15

3x = 2190

Divide both sides by 3,

x = 2190/3 = 730

So, x= 730

x+5 = 735

x+10 = 740

5 0
2 years ago
A support wire extends from the top of a 225 feet radio tower to the ground and makes an angle of 64° with the ground. How long
aniked [119]

Answer:

250.34 feet

Step-by-step explanation:

Find attached to this answer and appropriate diagram.

From this question, we can see that this is a trigonometric function

The height of the radio tower = 225 feet = Opposite side

θ = Angle 64°

In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.

From the attached diagram, we can see that that is equivalent to finding the hypotenuse.

Hence, we are using the Trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse side

sin 64 = 225 feet/ Hypotenuse

Cross multiply

sin 64 × Hypotenuse = 225 feet

Divide both sides by sin 64

Hypotenuse = 225 feet / sin 64

Hypotenuse = 250.33543661 feet

Approximately = 250.34 feet

Therefore, the length of the wire needed to reach from the top of the tower to the ground is 513.3 feet.

7 0
3 years ago
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