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Iteru [2.4K]
3 years ago
11

PLEASE HELP ME FOR EXTRA POINTS AND BRAINLIEST ANWSER

Mathematics
1 answer:
xeze [42]3 years ago
7 0
Tan<E = 3/3.32402798107 = <span>1.10800932702

</span>
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Mary, Kate, and Sara are playing a card game called Shoe Store. The game is played with 36 cards, which make pairs of shoes. Mar
bekas [8.4K]
The anwser is b 36 divided by 3 is 12
7 0
3 years ago
How many times does the graph of 4x = 32 - x2 cross the x-axis?
garik1379 [7]

Answer:

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

Step-by-step explanation:

Qaudratics are in the form ax^2 + bx+ c

Where a, b, c are constants

Now, let's arrange this equation in this form:

4x=32-x^2\\x^2+4x-32=0

Where

a = 1

b = 4

c = -32

We need to know the discriminant to know nature of roots. The discriminant is:

D=b^2-4ac

If

  • D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
  • D > 0,  we have 2 distinct roots/solutions and both cut the x-axis
  • D < 0,  we have imaginary roots and it never cuts the x-axis

Let's find value of Discriminant:

D=b^2-4ac\\D=(4)^2 -4(1)(-32)\\D=144

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.

We get the roots/solutions by factoring:

x^2+4x-32=0\\(x+8)(x-4)=0\\x=4,-8

Thus,

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

6 0
3 years ago
Read 2 more answers
2x+14= -21-5x<br> Need to find out what x is but a step by step explanation please
adoni [48]
Notice how on both sides of the equation there is one coefficient (number being multiplied by x) and a constant (just a plain number). You want all constants to be on one side and all coefficients on the other. He’s how do to that:
2x+14=-21-5
I am choosing that all constants will be on the right side, so I will do the inverse operation of any constant on the left side to remove it. Here, a constant on the left side is 14. I will subtract 14 from both sides of the equation. Positive 14 minus 14 is zero, so it cancels out and removes it.
2x+14-14 = -21-5x
2x = -35-5x
See how the 14 is now gone? The equation looks much simpler now. Okay next, you can see that there is a coefficient on the “constant side” that I’ve chosen, so I am going to remove that. Negative 5 plus positive 5 equals zero. Do this on both sides of the equation.
2x+5x = -35-5x+5x
7x = -35
Now the equation is just two numbers. All that is left to do is divide by the last coefficient, 7, in this case.
7x/7 = -35/7
x = -5
8 0
1 year ago
Read 2 more answers
Juan’s purchase before sales tax was added totaled $46.00. the total including tax was $48.76. what was the sales tax rate?
Klio2033 [76]
The sales tax rate is 6%.
4 0
3 years ago
Read 2 more answers
An equilateral triangle has an apothem of 5cm. Find the perimeter of the triangle to the nearest centimeter
Sloan [31]
The apothem is the distance from which the altitudes of the triangle to one of its sides. It can be calculated through the equation below,
                             tan 30° = apothem / 0.5(length of side)
Substituting the known values,
                             tan 30° = 5 / 0.5x
The value of x from the equation above is 17.32. Multiplying this value by 3 (because a triangle has 3 sides), we get an answer of 51.96 cm or approximately equal to 52. Thus, the answer is letter B. 
5 0
3 years ago
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