Find the missing angle

When rolling four six-sided dice, there are 1296 possible outcomes. This is calculated by raising the number of outcomes for one die (6) to the power of the number of dice (4).

The subject of this question pertains to the probability in Mathematics, specifically focusing on the number of possible outcomes when rolling a die multiple times. In this case, we're looking at rolling four six-sided dice.

When you roll one die, there are indeed 6 possible outcomes, as a standard die has 6 faces. But if you roll two dice, the number of possible outcomes increases to 36 (6 outcomes for the first die times 6 outcomes for the second die).

Now in our case we are rolling four dice. Hence, the number of outcomes will be 6 to the power of 4, which means 6 * 6 * 6 * 6 = 1296. Therefore, the correct answer is B. 1296.

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Final answer:

The inequality representing Catherine's scenario is 8.5x + 20 < 54, and the number of tubes of paint she can buy is less than 4.

Explanation:

The inequality that best represents the scenario where Catherine has $54, plans to spend more than $20 on a painting canvas, and the rest on paint tubes that cost $8.50 each, is 8.5x + 20 < 54. This equation illustrates how much money Catherine will have left after purchasing the painting canvas for more than $20.

To determine the number of paint tubes Catherine can buy, we solve the inequality:

Subtract 20 from both sides: 8.5x < 54 - 20

Simplify the right side: 8.5x < 34

Divide both sides by 8.5 to isolate x: x < 34 / 8.5

Calculate x: x < 4

Therefore, the number of tubes of paint Catherine can buy is less than 4 (C. less than 4).

The true statement for the given information is the y coordinate is negative

The correct answer is:

d. The y-coordinate is negative.

Let's break down the problem step by step:

1. Identify the Quadrants of the Endpoints: One endpoint lies in quadrant 2, and the other endpoint lies in quadrant 3.

2. Determine the Coordinates of the Endpoints:

  - For a point in quadrant 2, both the x-coordinate and y-coordinate are positive.

  - For a point in quadrant 3, the x-coordinate is negative, and the y-coordinate is negative.

3. Find the Midpoint Formula: The midpoint formula for a line segment with endpoints [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is:

  [tex]\[ \text{Midpoint} = \left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) \][/tex]

Now, let's apply these steps to find the properties of the midpoint:

1. Identify the Quadrants of the Endpoints:

  - Endpoint 1: Quadrant 2

  - Endpoint 2: Quadrant 3

2. Determine the Coordinates of the Endpoints:

  - Endpoint 1 (Quadrant 2): Positive x-coordinate, Positive y-coordinate

  - Endpoint 2 (Quadrant 3): Negative x-coordinate, Negative y-coordinate

3. Find the Midpoint:

  - Since the x-coordinate of one endpoint is positive and the x-coordinate of the other endpoint is negative, the x-coordinate of the midpoint will be between these two values, but we cannot determine its sign from this information.

  - Since one y-coordinate is positive and the other is negative, the midpoint's y-coordinate will lie between these two values, but it will be negative.

Therefore, the correct answer is:

d. The y-coordinate is negative.

The midpoint's x-coordinate could be either positive or negative, depending on the specific values of the endpoints. However, the y-coordinate will always be negative because it lies between a positive y-coordinate and a negative y-coordinate. This is consistent with the fact that one endpoint lies in quadrant 2 (positive y) and the other lies in quadrant 3 (negative y).

Complete question:

one endpoint of the line segment lies on quadrant 2 while the other endpoint lies in quadrant 3 which statement is true about the segment's midpoint

a. the x coordinate is negative

b. the x coordinate is positive

c. the y coordinate is positive

d. the y coordinate is negative

Kinsey walks a total of 148,400 feet to visit Carlito's house 112 times. This was calculated by multiplying the distance of a single trip (1,325 feet) by the number of trips (112).

To solve this problem, we simply need to multiply the distance that Kinsey walks to Carlito's house by the number of visits she makes. So, the calculation would be 1,325 feet * 112 visits.

After doing this multiplication, we find that the total distance Kinsey walks to Carlito's house in 112 visits is 148,400 feet.

This is a good example of how problems can be solved using simple multiplication in real-life situations, like calculating the total distance covered in multiple trips.

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The money left to spend on drinks is $6.75.

Correct option is (C).

The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations. The term "arithmetic" (which comes from the Greek word "arithmos," "number") often refers to the fundamental concepts in number theory, measurement, and computation (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

As per the given data:

Total money spend = $120

95 bags of popcorn at $0.75 each

35 bags of candy at $1.20 each

Money spend on popcorn = 0.75 × 95 = $71.25

Money spend on candy = 1.20 × 35 = $42

Money spend on popcorn and candy = $71.25 + $42 = $113.25

Money left to spend on drinks:

= Total money - Money spend on popcorn and candy

= $120 - $113.25

= $6.75

Hence, the money left to spend on drinks is $6.75.

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Answer:321

Step-by-step explanation:

see the difference between the roman empire numbers

find 5/11 of that

see how much there already is and subtract

To find the values of a and b, expand the given equation and compare it with the cubic equation. The values of a and b are 2 and -10, respectively.

To find the values of a and b, we can expand the given equation and compare it with the cubic equation x³ + bx²+ 12x - 72 = 0. Expanding and comparing the coefficients, we get:

a = 2

b = -10

Answer: The correct answer is 17 inches.

Answer:

17 inches

Step-by-step explanation:

Given that jerry built a coffee table for his living room. His table, that also serves as storage bin, is in the shape of a trapezoid. He wants to build a shelf in the middle of the coffee table to separate his photo album storage from his magazines. the top opening of the box is 22 inches and the base of the box is 12 inches.

To make the trapezium into two halves he can draw a middle line from the mid points of the two non parallel sides.

Since base I =22 inches and base II = 12 inches we get

the middle line would be the average of the two bases

(Recall mid point theorem on triangles extended to trapeziums)

Hence we have the length required

=[tex]\frac{1}{2} (22+12)\\\\=\frac{1}{2} (34)\\=17 inches[/tex]

It is given in the question that , the box is 12 inches long, 8 inches wide and 3 inches high .

We have to find the least amount of wrapping paper that Shavon will need to completely cover the box .

And for that we have to use the formula of surface area, which is

[tex] Area= 2(length*width+width*height+length*height) [/tex]

Substituting the values of length, width and height, we will get

[tex] Area= 2(12*8+8*3+12*3) =2(156)=312 [/tex]

Correct option is the last option .