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slava [35]
3 years ago
15

Find the total number of possible outcomes in the following sample space (your answer should be a whole number):

Mathematics
1 answer:
adoni [48]3 years ago
8 0

Answer:

8

Step-by-step explanation:

So you have four different toppings and two different sauces. This means you have four outcomes for the marinara sauce and four more for the alfredo sauce adding up a total of eight outcomes.

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Identify the graph of the equation. What is the angle of rotation for the equation?
borishaifa [10]

Answer:

d. parabola, 0°

Step-by-step explanation:

y² + 8x - 0

y² = -8x

Where x = cos t  ,  y = sin t

Sin² t = -8 Cos t

1 - Cos² t = -8 Cos t

- Cos² t + 8 Cos t + 1 = 0

t = 2лπ ± (3 + √10) , л∈Z

Angle of rotation

5 0
3 years ago
Which ratio is equal to 3:5?<br> A.<br> 12:25<br> B.<br> 12:20<br> cal<br> 15:20<br> OD.<br> 12:15
harina [27]

Answer: B

Step-by-step explanation: If you multipley both 3 and 5 by the same number 4 you get the ratio 12:20

7 0
3 years ago
Read 2 more answers
Factor the trinomial below. 4x^2+23-6. which two binomials are factors of the trinomial
cluponka [151]

Answer:

4x - 1 and x + 6 are the factors of given Trinomial

Step-by-step explanation:

The given Trinomial is:

4x^{2}+23x-6

We can factorize this trinomial by mid-term splitting. The mid-term(23x) can be split up in two terms (24x and -x) such that their sum is 23x and their product(-24x²) is equal to the product of other two terms (4x² and -6)

So, the above expression can be written as:

4x^{2}+23x-6\\\\ =4x^{2}+24x-x-6\\\\\text{Taking out commons, we get}\\\\=4x(x+6)-1(x+6)\\\\ =(4x-1)(x+6)

Therefore, 4x - 1 and x + 6 are the factors of given Trinomial

8 0
3 years ago
A circular ice skating rink has a diameter of 65 feet. What is the circumference of the rink, rounded to the nearest tenth.
Nezavi [6.7K]
The meaning of circumference is to find the distance around a circle or in other words the perimeter of the circle. The circumference of a circle can be calculate by using the formula C=2πr or C=πd.

In this exercise is given that a circular ice skating rink has a diameter of 65 feet, and it is asked to find its circumference. In <span>this problem the diameter of the circle is given, so in this case the formula C=</span><span>πd would be used, where d represents the diameter.

C=</span>πd
C=π(65 ft)
C=204.2 feet

The circumference of the circular ice skating rink is 204.2 feet.
3 0
4 years ago
Read 2 more answers
Quadrilateral EFGH is rotated 90° clockwise about the origin to create quadrilateral JKLM. Both quadrilaterals are shown on the
Strike441 [17]

Answer:

  88°

Step-by-step explanation:

The names of the quadrilaterals tell you angle J corresponds to angle E. The measures of angles are not changed by rotation, which is a rigid transformation. Hence,

  ∠J ≅ ∠E = 88°

8 0
4 years ago
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