A number cube is rolled. Event A is rolling an even number, and event B is rolling a multiple of 3.
What is the sample space S?

Answer:28.62

Step-by-step explanation:

AB=s(s﹣a)(s﹣b)(s﹣c)

V=ABh

s=a+b+c

2

Solving forV

V=1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=1

4·4·﹣54+2·(5·3)2+2·(5·5)2﹣34+2·(3·5)2﹣54≈28.61818

The area of a base of the triangular prism is 20 square feet.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

From the given figure, the dimensions of the base are 4 ft and 5 ft.

Here, the base is rectangle

We know that, the area of a rectangle is Length×Width

= 5×4

= 20 square feet

Therefore, the area of a base is 20 square feet.

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Answer:

W.

Step-by-step explanation:

All you have to do is cross check each of the statements with the table.

Answer:9 yes 10 no 11 b 12 d 13 a 14c

Step-by-step explanation:

Answer:

0.75 ounces per ounce of drink

Step-by-step explanation:

10.5/14

Answer:

0.75 oz of sugar

Step-by-step explanation:

If 14 oz contains 10.5 oz sugar

1 oz will contain 10.5/14 = 0.75 oz of sugar

Answer:

2 Answers By Expert Tutors

Consider as an example a box of length L, width W, and height H. If all linear dimension are doubled the area becomes 4 (22) times the original

Step-by-step explanation:

google

Answer:

x = 33°

Step-by-step explanation:

Take a look at the attachment below, and you will see that x = 33°

Look at the attached picture

Hope it will help you...

Good luck on your assignment

Answer:

Step-by-step explanation:

[tex]x^{3}=\frac{8}{125}\\\\x^{3}=\frac{2*2*2}{5*5*5}\\\\x^{3}=\frac{2^{3}}{5^{3}}[/tex]

Take cube root,

[tex]x=\frac{2}{5}[/tex]

Answer:

Step-by-step explanation:

It is mandatory (required) to use " ^ " for exponentiation:

(3x – 5)^2 = 4

Taking the square root of both sides, we get

3x - 5 = ±2, or

3x = 5 ±2, or

(a) 3x = 7 => x = 7/3, and

(b) 3x = 3, or x = 1

Answer:

10

Step-by-step explanation:

The distance between the points  (-3, -6) and (3, 2) is  10 units.

The distance formula between two points (x₁, y₁) and (x₂, y₂) is given by,

D = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1_)^2[/tex].

Given, We have to determine the distance between the points (- 3, - 6) and (3, 2).

Let, (x₁, y₁) is (- 3, - 6) and (x₂, y₂) is (3, 2).

Therefore,

D = [tex]\sqrt{(3 + 3)^2 + (2 + 6)^2[/tex].

D = [tex]\sqrt{(6)^2 + (8)^2[/tex].

D = [tex]\sqrt{(36 + 64)[/tex].

D = [tex]\sqrt{100}[/tex].

D = 10 units.

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Answer: -770, -410, 310, 670 degrees

Step-by-step explanation:

Coterminal angles are angles that are have the same sides ... they are essentially the same angle, but are, for example, rotated an extra 360 degrees.

You can add/subtract 360 degrees to check if angles are coterminal:

-770 = -50 - 360 - 360    -- YES, it is coterminal with a -50 degree angle.

-530 [tex]\neq[/tex] -50 - 360 ...      -- NO

-410 = -50 - 360       -- YES

50 [tex]\neq[/tex] -50 + 360 ...      -- NO

310 = -50 + 360     -- YES

360 [tex]\neq[/tex] -50 + 360 ...      -- NO

410 [tex]\neq[/tex] -50 + 360 ...      -- NO

670 = -50 + 360 + 360     -- YES

Answer:

Perimeter = 55.1 ft

area = 236.625 ft2

Step-by-step explanation:

radius = 15 / 2 = 7.5

Perimeter = perimeter of 2 half circle + 4+4

                = perimeter of 1 circle +4 +4

                = 2*7.5* pi + 4 + 4 = 55.1 ft

area = area of 2 half circle + area of 1 rectangle

        = area of 1 circle + area of 1 rectangle

        = pi *7.5*7.5 +4*15

        = 236.625 ft2

Answer:

The answer is 30

Step-by-step explanation:

This problem is very easy if you think about it!

12 to the left if negetive to if you move to the left your subtracting.

If your moving at a speed of [tex]5/6[/tex] per minute where will you be in 10.2

minutes?

EASY

[tex]5/6[/tex] × 10.2=8.5

Now all we need to do is subtract 8.5 from 12.

12-8.5= 3.5

Therefor the answer is...

Answer:

[tex]n[/tex].

Step-by-step explanation:

Assuming that [tex]n \in Z^{+}[/tex], then all number less than [tex]n+1[/tex] are

[tex]n+1-1=n[/tex]

Notice that the "plus one" indicates that the whole number shown by the expression [tex]n+1[/tex] indicates a whole number greater than [tex]n\\[/tex] by one unit. So, we just subtract one whole unit to achive a number less than the given expression.

Therefore, the answer is [tex]n[/tex].

Answer:

is it AA..

I have no idea what to do how...

The theorems that verifies the ΔDEF ≅ ΔXYZ by SAS congruency Criteria.

Congruent figures have sides that are the same length and angles that are the same measurement. In other words, congruent figures are those in which one figure superimposes another. Even when twisted or flipped, they perfectly fit together.

We have, two triangles DEF and XYZ.

Now, from the two triangle

EF = XY (Given)

DF = XZ (Given)

<EFD = < YZX (Each 90)

By SAS Congruency Rule

ΔDEF ≅ ΔXYZ

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Answer:

sample space is the range of values of a random variable.

Step-by-step explanation:

Answer:

392

Step-by-step explanation:

I got it correct! :)

The surface area of the design is 392 square inches.

The correct option is B.

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

Given:

The shape is a cuboid.

The surface area of the cuboid,

= 2lw+2lh+2hw,

where l is the length, w is the width and h is the height.

The height of the upper cuboid,

= 10-4 = 6 inches.

The surface area of the upper cuboid,

= 2lw+2lh+2hw

= 2(36) + 2(36) - 2(36)

= 144 square inches.

The surface area of the lower cuboid,

= 2lw+2lh+2hw

= 2(40) + 2(24) + 2(60)

= 248 square inches.

The total surface area,

= 392 square inches.

Therefore, the surface area of the design is 392 square inches.

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Answer:

5/16

Step-by-step explanation:

As you can see in the 16 given possible outcomes, in 5 of them at least 3 coins land facing up. Since there are 16 outcomes in total, the probability that at least three coins land facing up is 5/16. Hope this helps!

Answer:

4

Step-by-step explanation:

You can cross multiply.

first i would simplify x/12=3/9 to x/12=1/3

so then it would be equal to x*3=1*12

then i would simplify it to 3x=12

then you solve for x and i would get 4

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{x}{12} =\frac{3}{9} \\[/tex]

Simplify [tex]\frac{3}{9} = \frac{1}{3} \\[/tex]

What is a third of 12?

4

x = 4

Answer:

the answer is D

Step-by-step explanation:

Answer:

x=9.5

Step-by-step explanation:

In order to find the answer, we know that 6x + 4x - 5 = 90

Next we want to combine like terms: 10x - 5 = 90.

Now we have to add 5 to 90 in order to get x on its own.  10x = 95

Now solve for x by dividing 95 by 10: x=9.5

Answer:

x = 360/7

Step-by-step explanation:

the sum of 3x and 2/4x is supposed to be 180 degrees.

1.- write it as an equation.

3x + 1/2x = 180

2.- Combine like terms.

3x + 1/2x = 7/2x

7/2x = 180

3.- divide.

180 / 7/2 = 360/7

Answer:

$9.90

Step-by-step explanation:

Answer:

As the velocity is constant,

Distance covered in n hours = n × distance covered in 1 hr

Distance covered in 7 hrs = 7 × 110 = 770 miles

1.38 is the mean of the amount of rainfall over the course of the week

Answer:

1.4 inches (1 decimal place)

Step-by-step explanation:

To calculate the mean you get the sum of all the terms required and divide by the number of terms you summed up.

All of the terms in the table sum up to 29/3. 29/3 divided by 7 (number of days in a week) = 1.3809..., which you can round to 1.4 inches

Answer:

Sum: 8w-8

Value of w: w= 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. We know that the 2 lines are not parallel. If they were, it would be marked on the graph. Therefore, corresponding angles (5 and 6 in this case) are not equal.

2. Angles 1 and 2 are corresponding angles, and because the 2 lines are parallel, they must be equal. Therefore, ∠1 = ∠2 = 60°.

3. Some real-life examples of parallel lines could be the shelves of bookcases or the painted lines in a parking lot. I hope this helps you.