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IceJOKER [234]
3 years ago
5

What is the decimal equivalent of 3/9?

Mathematics
1 answer:
Nitella [24]3 years ago
7 0

\dfrac{3}{9}=\dfrac{3:3}{9:3}=\dfrac{1}{3}=0.3333...=0.\overline{3}\to B.

for the future:

\dfrac{1}{9}=0.\overline{1}\\\\\dfrac{2}{9}=0.\overline{2}\\\\\dfrac{3}{9}=0.\overline{3}\\\vdots\\\\\dfrac{n}{9}=0.\overline{n}\ for\ n\in\{1;\ 2;\ 3;\ ...;\ 9\}

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AB is a straight line.<br> Find the values of y and z.
Radda [10]

Answer:

45 maybe

Step-by-step explanation:

it is a right angle . just divide by 2

3 0
2 years ago
a game consists of randomly choosing a bag (labelled 1, 2 or 3) out of a choice of 100, and then again randomly, picking a ball
Anton [14]

Answer:

hello your question has some missing information attached below is the missing information

answer :  112 black balls

Step-by-step explanation:

Given data:

Each bag contains ; 10 balls

Total number of ball = 100 balls

<u>first: calculate the number of Black balls to be picked from the three bags</u>

From bag 1 = 0.4 * 0.35 * 10 = 1.4 balls

From bag 2 =  0.8 * 0.45 * 10 = 3.6 balls

From bag 3 = 0.3 * 0.2 * 10 = 0.6 ball

Total black balls picked = 5.6

∴ percentage of black balls picked given that each bag contains 10

5.6 / 10 * Total balls available  =  56 balls = 56% of 100 balls

Hence If the player plays this game 200 times the number of black balls he will pick = 56% * 200 =  112 balls

4 0
3 years ago
What is the directrix of the parabola defined by 1/4(y+3)=(x-2)^2
Charra [1.4K]
This is a parabola which opens upwards and the directrix will be of the form  
y = k

the general form is 

4p(y - k) = (x - h)^2   we have:-

1/4(y + 3) = (x - 2)^2

so the vertex is at (2, -3)

4p = 1/4  so p =  1/16

so the focus will be at (2 , -2 15/16)

and directrix is  y = -3 1/16
4 0
3 years ago
Freddy drilled into a piece of wood and a joist to attach them. He drilled 4 inches and the wood was 1 1/3 inches thick.
Angelina_Jolie [31]

The depth of the joist that was drilled by Freddy is 5 1/3 inches.

From the information given, we are informed that Freddy drilled into a piece of wood and a joist to attach them and that be drilled 4 inches and the wood was 1 1/3 inches thick.

Therefore, to get the depth that was drilled, we'll need to add the fractions given together. This will be:

= 4 + 1 1/3

= 5 1/3 inches.

Therefore, the depth of the joist that was drilled by Freddy is 5 1/3 inches.

Read related link on:

brainly.com/question/24429956

6 0
3 years ago
What does the fundamental theorem of algebra illustrate?
UNO [17]

Answer:

The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.

Step-by-step explanation:

The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.

We have to find the roots of this given equation.

If a quadratic equation is of the form ax^{2}+bx +c=0

Its roots are \frac{-b+\sqrt{b^{2}-4ac } }{2a} and \frac{-b-\sqrt{b^{2}-4ac } }{2a}

Here the given equation is 2x^{2}-4x-1 = 0

a = 2

b = -4

c = -1

If the roots are x_{1} and x_{2}, then

x_{1} = \frac{-2+\sqrt{(-4)^{2}-4\times 2\times (-1)}}{2\times 2}

                       = \frac{4 +\sqrt{24}}{4}

                       = \frac{2+\sqrt{6} }{2}

x_{2} = \frac{-2-\sqrt{(-4)^{2}-4\times 2\times (-1)}}{2\times 2}

                        = \frac{4 +\sqrt{8}}{4}

                        = \frac{2-\sqrt{6} }{2}

These are the two roots of the equation.

6 0
2 years ago
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