A six-sided number cube numbered 1 through 6 is rolled twice. Whats the probability of getting an even number

Answer:

Step-by-step explanation:

Area is the space that is contained in a two-dimensional figure.

Surface area is the total area of all of the sides and faces of a three-dimensional figure.  

To find the surface area, the area of each face is calculated and then add these areas together.

To find the area of a rectangle, multiply the length by the width .

From the graph the length of the rectangle is 10 m and the width is 8 m. Therefore, the area of the bottom face is

From the graph the length of the rectangle is 10 m and the width is 5 m. Therefore, the area of one of the rectangular side faces is

To find the area of a triangle use the following formula  where b is the base and h is the height.

From the graph the base of the triangle is 8 m and the height is 3 m. Therefore, the area of one of the triangular faces is

The surface area of the prism is the sum of the area of the bottom face, the area of the two rectangular side faces, and the area of the two triangular faces

Answer:

there are 8 for any four leg creatures : there are 4 for a human

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

Where's the image?

Answer:

x =180-(90+46)

=180-136

=44

Answer:

44°

Step-by-step explanation:

180-90-46=44

Answer:

A) Yes the 2 triangles are similar by SSS Similarity and SAS Similarity

Step-by-step explanation:

SSS:

ST/SU = SW/SV = WT/VU

60/70 = 48/56 = 30/35

6/7 = 6/7 = 6/7

SAS:

ST/SU = SW/SV = 6/7 (look at SSS proving)

Angle S = Angle S because they are reflexive or the same angles

Answer:

[tex]3(x+y)(x+y)[/tex]

Step-by-step explanation:

[tex]3x(x+y)+3y(x+y)[/tex]

[tex]3x^{2} +6xy+3y^{2}[/tex]

[tex]3(x+y)(x+y)[/tex]

hope this helps.....

Answer:

r = 0.2

Step-by-step explanation:

Given

y = rx ( divide both sides by x )

[tex]\frac{y}{x}[/tex] = r

Use any of the ordered pairs from the table and substitute

Using (8, 1. 6 ) , then

r = [tex]\frac{1.6}{8}[/tex] = 0.2

Answer:

x = 4

Step-by-step explanation:

180° - 114° = 66°

15x - 6 = 66

15(4) - 6 = 66

60 - 6 = 54      

Statement is wrong because we can see another angle. so...

Final answers: x = 4   while 54 + 114° = 168°  then 180° - 168° = 12°

Answer:

x = 8

Step-by-step explanation:

15x - 6 = 114

Move the constant to the right-hand side and change its sign

15x = 114 + 6

15x = 120

Divide both sides of the equation by 15

x = 8

Answer:

Step-by-step explanation:

(x+6)(x+1)(x-4)

= (x^2 +x+6x+6)(x-4)

= (x^2+7x+6)(x-4)

= x^3 +3x^2 -22x-24

The simplified form of the expansion (x+6)(x-1)(x-4) is x³+x²-26x+24

Simplifying an expression is meant to add or subtract the like terms together.

Expansion of (a+b)(c+d) is given by

(a+b)(c+d)=a(c+d)+b(c+d)=ac+ad+bc+bd

(x + 6)(x - 1)(x - 4)

=( x + 6){x(x - 4) - ( x - 4)}

=( x + 6 ){x² - 4x - x + 4}

=( x + 6 ){x² - (4+1)x + 4}

= ( x + 6 ){x² - 5x + 4}

= x{x² - 5x + 4} + 6{x² - 5x + 4}

= x³ - 5x² + 4x + 6x² - 30x + 24

= x³ + x² - 26x + 24

So, the simplified form of the expansion (x+6)(x-1)(x-4) is x³+x²-26x+24

Learn more about simplification here-

brainly.com/question/17579585

Answer:

So there are 126 five-digit integers where each subsequent digit is larger than the previous digit, going from left to right.

Hope This Helps!!!

Answer:

64

Step-by-step explanation:

Okay, here it goes:

Where there is a g you insert -2 and where there is an h you insert 5

(2(-2)+9(5)-5)-(6(-2)-4(5)+2)

If two numbers are side-by-side with no other sign between them, you multiply

(-4+45-5)-(6(-2)-4(5)+2)

(-4+45-5)-(-12-20+4)

There is a subtraction sign between these equations. That means you must distribute the negative sign to the equation on the right.

Remember:

-4+45-5+12+20-4

Now just add them together. I recommend going left to right.

-4+45=41

41-5=36

36+12=48

48+20=68

68-4=64

Answer:

a= 45

Step-by-step explanation:

all angles equal 180 degrees so you take the angle given which is 45 and the other which is a right angle, or 90 degrees and subtract 45 from 90 and you get 45 so a = 45 and you add up 45 + 45 + 90 thats 180!  

Answer:

q s r

Step-by-step explanation:

becuase those numbers are most likely the degree of the angle and they aren't telling you the length of the sides so qsr should be the right answer.

Answer: q,s,r

Step-by-step explanation: q's angles are 88 + 55, meaning the bigger the angle measurements, the smaller the side that connects the two angles. s's angles' sum isn't greater than q's. That means s's line is longer than q's. r is the longest line because r's side is the hypotenuse of the triangle.

I hope this helps, have a nice day.

Answer: step by step explanation

it's just that you have to multiply the number under root and it's any number is square then you can take it out of root.

Answer:

hygiygtuvtyryfyrvvryfyvyvrvfyrvyvrvrvr.

Answer:

[tex]y = (x - 3)^2 - 12[/tex]

[tex](3,-12)[/tex]

Step-by-step explanation:

Given

[tex]y = x^2 - 6x - 3[/tex]

Solving (a): In vertex form

The vertex form of an equation is:

[tex]y = a(x - h)^2 + k[/tex]

To do this, we make use of completing the square method.

We have:

[tex]y = x^2 - 6x - 3[/tex]

------------------------------------------------------------------

Take the coefficient of x (i.e. -6)

Divide by 2; -6/2 = -3

Square it: (-3)^2 = 9

Add and subtract the result to the equation

------------------------------------------------------------------

[tex]y = x^2 - 6x - 3[/tex]

[tex]y = x^2 - 6x + 9 - 9 - 3[/tex]

[tex]y = x^2 - 6x + 9 - 12[/tex]

Factorize [tex]x^2 - 6x + 9[/tex]

[tex]y = x^2 - 3x-3x + 9 - 12[/tex]

[tex]y = x(x - 3)-3(x - 3) - 12[/tex]

Factor out x - 3

[tex]y = (x - 3)(x - 3) - 12[/tex]

Express as squares

[tex]y = (x - 3)^2 - 12[/tex]

Hence, the vertex form of [tex]y = x^2 - 6x - 3[/tex] is: [tex]y = (x - 3)^2 - 12[/tex]

Solving (b): State the coordinates of the vertex.

In [tex]y = a(x - h)^2 + k[/tex]; the vertex is: (h,k)

The vertex of [tex]y = (x - 3)^2 - 12[/tex] will be [tex](3,-12)[/tex]

Answer:

B

Step-by-step explanation:

It is linear and increasing.

If it is linear, it is increasing at a constant rate with a straight line.

Exponential means it is a curved line and would have an equation like f(x)=5^x

If it was decreasing, it would have a negative slope, such as -2x +10

Answer:

1. If x is under a square root then x cannot equal a negative number. If x is in the denominator of a fraction then x cannot equal zero.

2. ax2 + bx + c

Step-by-step explanation: Hope this helps :)

Answer:

15 oz

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Each quartile is 25%; the answer asks for 70% and below, which is the first through third quartile.

Answer: A) Independent

Step-by-step explanation:

Mutually exclusive: the two actions don't happen at the same time; they are not dependent on each other

Answer:

62

Step-by-step explanation:

The sum of the angles in a triangle add to 180

L + M + N= 180

38+ 80 + N = 180

118+ N = 180

N = 180-118

N = 62

Answer:

[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]

Step-by-step explanation:

We proceed to present the procedure by algebraic means:

1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given

2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties

3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties

4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties

5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties

Answer:

The last one

Step-by-step explanation:

[tex]x^3+1=0[/tex]

Subtract 1 from both sides

[tex]x^3+1-1=0-1[/tex]

simplify

[tex]x^3=-1[/tex]

[tex]\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}[/tex]

[tex]x=\sqrt[3]{-1},\:x=\sqrt[3]{-1}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{-1}\frac{-1-\sqrt{3}i}{2}[/tex]

simplify

[tex]x=-1,\:x=\frac{1}{2}-i\frac{\sqrt{3}}{2},\:x=\frac{1}{2}+i\frac{\sqrt{3}}{2}[/tex]

(That's basically the last one but in a different way of writing it)

Answer:

The last one

Step-by-step explanation:

Subtract 1 from both sides

simplify

simplify

Answer:

(x+4)² + (y-k) ² = 16

Step-by-step explanation:

The equation of the circumference is expressed as;  

(x-h) ² + (y-k) ² = r²

(h,k) is the centre

r is the radius

Given that diameter = 8

radius = 8/2

radius = 4units

Given that h = -4 and k = 2

(x-h) ² + (y-k) ² = r²

(x-(-4)) ² + (y-2) ² = 4²

(x+4)² + (y-k) ² = 16

This gives the required equation

Answer:

[tex]1.16\:\mathrm{rad/s}[/tex]

Step-by-step explanation:

Angular speed is given by [tex]\omega=\frac{\Delta \theta}{\Delta t}[/tex], where [tex]\Delta \theta[/tex] is angle change in radians and [tex]\Delta t[/tex] is elapsed time.

Since the baseball makes one fourth (one quarter) of a rotation in 1.35 seconds, it will take the baseball [tex]4\cdot 1.35=5.4[/tex] seconds to complete on rotation.

One rotation is 360 degrees or [tex]2\pi[/tex] radians. Therefore, the angular speed of the baseball is:

[tex]\omega =\frac{2\pi}{5.4}=1.16355283466\approx \boxed{1.16\:\mathrm{rad/s}}[/tex]