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IgorC [24]
3 years ago
9

I need help on the first and last one, there the fill in the blank ones

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0

Answer:

The sample space (S) that consists of all elements is:

S = {red, red, red, red, white, white, white, white, blue, blue, blue, blue}.

The number of ways (N) that the four letters F, A, I, R can be arranged is:

N = 4 x 3 x 2 x 1 = 24

Hope this helps!

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A triangle has an area of 3x^2+9x-54 square centimeters. If the height of the triangle is x+6 centimeters, find the length of th
JulijaS [17]
It should be b = 6(x - 3)
7 0
3 years ago
How do I turn this vertex form -2(x-0)^2 + 18 in to a standard form
levacccp [35]
Answer:
-2x^2+18
Explanation:
Since (x-0)^2 is the same thing as (x-0)(x-0), you should multiply out (x-0)^2, you’ll get this
-2(x^2-0x-0x+0)+18
Then simplify
-2(x^2)+18
-2x^2+18
8 0
3 years ago
Convert the complex number z = 4 - 10i from rectangular form to polar form.​
mrs_skeptik [129]

ANSWER

r = 2 \sqrt{29} ( \cos(292 \degree)  + \sin(292 \degree))

EXPLANATION

The polar form of a complex number ,

z = x + yi

is given by:

z = r( \cos( \theta)  + i \sin( \theta) )

where

r =  \sqrt{ {x}^{2} +  {y}^{2}  }

The given complex number is:

z = 4 - 10i

r =  \sqrt{ {4}^{2}  +  {( - 10)}^{2} }

r =  \sqrt{16  + 100}

r =  \sqrt{116}  = 2 \sqrt{29}

And

\theta=  \tan^{ - 1}(\frac{ y}{x} )

\theta=  \tan^{ - 1}(\frac{  - 10}{4} )

\theta=  292 \degree

Hence the polar form is :

r = 2 \sqrt{29} ( \cos(292 \degree)  + \sin(292 \degree))

6 0
3 years ago
1. Una proposición que necesita ser demostrada y que cuya demostración consta de un conjunto de razonamientos se llama:
Mademuasel [1]

Answer:

1. D. Teorema.

2. A. Axioma.

Step-by-step explanation:

En matemáticas, un conjunto de proposiciones que deben estar respaldadas por una prueba adecuada basada en el razonamiento se denomina teorema. Se puede demostrar plenamente que todos los teoremas matemáticos son verdaderos mediante el razonamiento.

Sin embargo, un axión es evidente por sí mismo y no necesita ser probado. Es un hecho ya establecido.

5 0
3 years ago
Read 2 more answers
25/10 as a mixed number
nata0808 [166]
2 1/2

10 goes into 25 2 times with a remainder of 5 so , you get 2 5/10
5/10 reduces to 1/2

7 0
3 years ago
Read 2 more answers
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