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3 years ago

What is the probability of rolling a 6 sided die and getting a 4 or a number divisible by 3. A) 1/3 B) 1/18 C) 2/3 D) 1/2

1 answer:

6 0

Let
Event A = rolling a 4 on a single die
Event B = rolling a number divisible by 3 (3 or 6) on a single die

There are three outcomes possible in total if either event A happens or event B happens. This is out of six outcomes total.

Divide the values and reduce: 3/6 = 1/2

Final Answer: Choice D) 1/2

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Check out attachment:) I don't understand how do you find out the length ?? pls help with explanation thx

hjlf

Answer:

x=3.89

Step-by-step explanation:

I'll go in depth for you.

Before we figure out what we do, let understand what we know about this triangle.

We know that both triangles have a angle that measure 27°.
We also know EH=5
FG=9
ZG=7
We need to know how to find EZ

Notice how line EG and HF intersect at Angle Z. We know that if two lines intersect at an angle, it form angles called vertical angles. This means that the two angles that are vertical to each other are congruent.

This means that angle Z in both triangles both measure the same.

Now since both triangles have 2 congruent corresponding angles, we can say that the Triangles are Similar due to the Angle-Angle Postulate.

"If two corresponding angles of two triangles are congruent, then the two triangles are similar."

What is mean when Triangles are similar? 

It means that the similar triangles corresponding angles are equal and their sides are in proportion.

The corresponding sides are 

EH and GF

EZ and ZG

HZ and HF.

Our proportion formula for similar triangles is 

Any two sides of the first triangle divided by each other must equal the two corresponding sides of the second triangles divided by each other respectively.

We know FG and ZG so let set up our first fraction

 $\frac{fg}{zg}$ 

The corresponding sides of both are 

EH and EZ respectively so our proportion looks like
 $\frac{fg}{zg} = \frac{eh}{ez}$ 
Plug in the values for each. Let x represent the value of EZ
 $\frac{9}{7} = \frac{5}{x}$ 
Cross Multiply
 $9x = 35$ 
 $x = 3 \frac{8}{9} = 3.89$ 
So x=3.89

3 0

3 years ago

Help for the two questions shown, please!

LekaFEV [45]

Answer:

5) 140.8m^2 6) 360in^2

Step-by-step explanation:

6.4 x 6.4 = 40.96

(7.8 x 6.4) ÷ 2 = 24.96

24.96 x 4 = 99.84

99.84 + 40.96 = 140.8m^2

12 x 10 = 120in

13 x 10 = 130in

5 x 10 = 50in

(12 x 5) ÷ 2 = 30in

30 x 2 = 60in

60 + 50 + 130 + 120 = 360in^2

8 0

3 years ago

A taxi service charges an initial fee plus $1.80 per mile how far can you travel for $12? Does any one know what is it

Nataly_w [17]

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6 0

3 years ago

1. Factor x²+5x-24 2. Factor 2n²-5n-3

Fynjy0 [20]

Given problems;

1. Factor; x²+5x-24

To factor this equation, we must understand that this is a quadratic equation.

A quadratic equation usually has two roots.

Equate to zero;

x²+5x-24 = 0

Then find two numbers whose product is -24 and their sum is +5

the numbers are +8 and -3

then replace 5x with the number;

x² + 8x - 3x - 24 = 0

Now factorize;

x(x +8) - 3(x + 8) = 0

(x-3)(x+8) = 0

Factoring gives (x-3)(x+8)

2. Factor 2n² - 5n -3;

Equate to zero;

2n² - 5n -3 = 0

Find the number whose sum is -5 and the product gives -6( 2 x -3);

the number is -6 and +1;

2n² - 6n + n -3 = 0

2n(n-3) + 1(n-3) = 0

(2n + 1)(n-3) = 0

The factor of the equation is (2n + 1)(n-3).

6 0

3 years ago

What period of the functions f(x) = cos 2x? Please help thank you.

kvv77 [185]

Answer:

option 3 ⇒ π

Step-by-step explanation:

The general equation of the given function is as following

f(x) = A cos (Bx)

Where A is the amplitude

and B = 2π/period

For the given function f(x) = cos 2x

B = 2

period = 2π/B = 2π/2 = π

3 0

3 years ago