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denis23 [38]
3 years ago
6

1/6 divided by 2/3 =

Mathematics
1 answer:
Volgvan3 years ago
3 0


1/6 divided by 2/3 =

1/6 X 3/2 = 3/12 = 1/4


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What is the probability of rolling an even number when rolling a 6-sided die?
lukranit [14]

Answer:

B.1/2

Step-by-step explanation:

Half of the numbers on a dice are even, so you have a 1 half probability of landing on an even number

7 0
3 years ago
24 POINTS!!!!!!!!!!!!!!!!!
podryga [215]
1. Combining like terms
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7 0
3 years ago
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Solve for x. Round to the nearest tenth, if necessary.
e-lub [12.9K]

Answer:

\boxed {\boxed {\sf x \approx 1.9}}

Step-by-step explanation:

We are asked to find x, a missing side in a triangle.

This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

  • sinθ= opposite/hypotenuse
  • cosθ= adjacent/hypotenuse
  • tanθ= opposite/adjacent

Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is <u>opposite</u> angle S. Side QS, measuring 2.3, is the <u>hypotenuse</u> because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

sin \theta = \frac {opposite}{hypotenuse}

  • θ= 54
  • opposite= x
  • hypotenuse = 2.3

sin (54)= \frac{ x}{2.3}

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

2.3* sin (54)= \frac{x}{2.3}*2.3

2.3* sin (54)=x

2.3*0.8090169944=x

1.860739087 =x

Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.

1.9 \approx x

x is approximately <u>1.9</u>

7 0
3 years ago
A rectangular retaining wall has an area of
Veronika [31]

Answer:

The height of wall is 3 feet and length of wall is 5 feet

Step-by-step explanation:

Given as :

The Area of retaining wall = 15 square feet

Let The width of wall = W feet

The Height of wall = ( W - 2 ) feet

Now, Area of Rectangle = Height  width

Or , 15 ft² = ( W - 2 ) ft × W ft

Or,  15 = W² - 2 W

Or,   W² - 2 W - 15 = 0

Or,  W² - 5 W + 3 W - 15 = 0

Or, W ( W - 5 ) + 3 ( W - 5 ) = 0

So , ( W - 5 ) ( W + 3 ) = 0

So, W = 5 , - 3

∴ The width of wall = W = 5 feet

And The Height of wall = ( W - 2 ) = 5 - 2 = 3  feet

Hence The height of wall is 3 feet and length of wall is 5 feet. Answer

8 0
3 years ago
Need help finding the x, y, and z. please and thank you
Reptile [31]

The first step in any problem is to look at what you are given. When solving systems of linear equations, it is often helpful to eliminate one or more of the variables by adding or subtracting a multiple of one equation with a multiple of another. It is convenient when at least one of the multipliers is 1.

Here, we can cancel the y-terms in the 2nd and 3rd equations simply by adding them together. This gives

... (5x +y -4z) +(-3x -y +5z) = (41) +(-45)

... 2x +z = -4 . . . . simplified

Likewise, we can add 3 times the second equation to the first to cancel y in that sum.

... 3(5x +y -4z) +(2x -3y +z) = 3(41) + (-1)

...15x +3y -12z +2x -3y +z = 123 -1

...17x -11z = 122 . . . . simplified

Now that we have 2 equations in x and z, we can go through the same process. We observe that the coefficient of z is +1 in the first equation and -11 in the second. The means we can cancel the z terms by adding 11 times the first equation to the second:

... 11(2x +z) +(17x -11z) = 11(-4) +122

...22x +17x = 78 . . . . . . simplify a little bit

... x = 78/39 = 2 . . . . . . divide by 39

From above, we find

... z = -4 -2x = -4 -2·2 = -8

... y = 41 -5x +4z = 41-5(2) +4(-8) = 41 -42 = -1

The solution is (x, y, z) = (2, -1, -8).

_____

The method of elimination used here will vary with the system of equations. If you want to employ a consistent method, you can use Cramer's Rule, Gaussian elimination, or matrix methods. Since you apparently don't mind help from technology, learning to do this on your graphing calculator can also be a good idea.

4 0
3 years ago
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