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Leona [35]
3 years ago
15

Arturo is customizing his next pair of basketball shoes. The following table shows the design components and how many options he

has for each.
Design component Number of options
Primary color 8
Secondary color 8
Sole color 8
Lace color 5
How many different shoe combinations can Arturo create?
Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0
The total number of combinations is 2,560.

To find the total, we need to use the number of options for all 4 of the categories. Once we have those number, we just need to multiply them to find the total number of possibilities. This is called the Fundamental Counting Principle.

8 x 8 x 8 x 5 = 2560
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Use the drop-down menus to complete the proof. by the unique line postulate, you can draw only one segment,
Doss [256]

The reflection of BC over I is shown below.

<h3>What is reflection?</h3>
  • A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is known as the reflection's axis (in dimension 2) or plane (in dimension 3).
  • A figure's mirror image in the axis or plane of reflection is its image by reflection.

See the attached figure for a better explanation:

1. By the unique line postulate, you can draw only one line segment: BC

  • Since only one line can be drawn between two distinct points.

2. Using the definition of reflection, reflect BC over l.

  • To find the line segment which reflects BC over l, we will use the definition of reflection.

3. By the definition of reflection, C is the image of itself and A is the image of B.

  • Definition of reflection says the figure about a line is transformed to form the mirror image.
  • Now, the CD is the perpendicular bisector of AB so A and B are equidistant from D forming a mirror image of each other.

4. Since reflections preserve length, AC = BC

  • In Reflection the figure is transformed to form a mirror image.
  • Hence the length will be preserved in case of reflection.

Therefore, the reflection of BC over I is shown.

Know more about reflection here:

brainly.com/question/1908648

#SPJ4

The question you are looking for is here:

C is a point on the perpendicular bisector, l, of AB. Prove: AC = BC Use the drop-down menus to complete the proof. By the unique line postulate, you can draw only one segment, Using the definition of, reflect BC over l. By the definition of reflection, C is the image of itself and is the image of B. Since reflections preserve , AC = BC.

6 0
1 year ago
Thank you guys so much
jeka57 [31]

Answer:

B. City P is above sea level and City R is below sea level

Step-by-step explanation:

A. City R is negative meaning it is below sea level however City Q is 0 meaning it is at sea level, so this statement is false.

C. Once again, City P is positive meaning it is above sea level but City Q is 0 meaning it is at sea level, so this statement is false.

D. Like before, City P is above sea level and City Q is at sea level not below, so this is, once again, false.

6 0
2 years ago
Mr. Jones took a survey of college students and found that 60 out of 65 students are liberal arts majors. If a college has 8,943
Anit [1.1K]

Should be 5812.95 Students

8 0
3 years ago
A circle inside of a square. The circle touches all sides of the square. The base is 5 centimeters.
lina2011 [118]

Answer:

19.6 cm²

Step-by-step explanation:

If a circle fits perfectly inside of a square, then its diameter is equal to the length of sides of the square.

The area of a circle is given by:

A= \pi \frac{d^2}{4}

In this problem, d = 5 cm, the area of the circle is:

A= 3.14 *\frac{5^2}{4} \\A=19.6\ cm^2

The approximate area of the circle is 19.6 cm².

8 0
3 years ago
Renee is buying Halloween candy. She wants to buy candy bars and lollipops and spend no more than $28. Each candy bar costs $0.4
aivan3 [116]

The inequality that represents the possible combinations of candy bars and  lollipops that he can buy is given by:

0.45x + 0.25y \leq 28

<h3>What is the inequality that models this situation?</h3>

The total price can be no more than $28, hence:

T \leq 28

Each candy bar costs $0.45 and each lollipop costs $0.25. x is the number of candy bars and y of lollipops. Hence, the total price is given by:

T = 0.45x + 0.25y.

Hence, the inequality that models the situation is:

0.45x + 0.25y \leq 28

More can be learned about inequalities at brainly.com/question/25235995

6 0
2 years ago
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