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AleksandrR [38]
2 years ago
9

Which figure repeats in the tessellation shown below?

Mathematics
2 answers:
andre [41]2 years ago
8 0

Answer:

B???

Step-by-step explanation:

pashok25 [27]2 years ago
7 0

Answer:

The correct option is A. Figure B repeats in the tessellation shown below.

Step-by-step explanation:

Tessellation can be defined as the arrangement of geographical patterns that are closely attached together to form a particular pattern.

The given figure is formed by the arrangement off figure B.

This large pattern is formed by the repetition of this smaller pattern,

Figure B repeats in the tessellation shown below. Therefore, the correct option is A.

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Find the center of the circle: x2 + 2x - 3 + y2 = 5.
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Answer:

\boxed{(-1, 0)}

Step-by-step explanation:

x² + 2x - 3 + y²  = 5

Strategy:

Convert the equation to the centre-radius form:

(x - h)² + (y - k)² = r²

The centre of the circle is at (h, k) and the radius is r .

Solution:

Move the number to the right-hand side.

x² + 2x + y²  = 8

Complete the square for x

(Take half the coefficient of x, square it, and add to each side of the equation)

(x² + 2x + 1) + y² = 9

Complete the square for y

The coefficient of y is zero.

(x² + 2x + 1) + y² = 9

Express the result as the sum of squares

(x + 1)² + y² = 3²

h = -1; k = 0; r = 3

The centre of the circle is at \boxed{(-1,0)}

The graph of the circle below has its centre at (-1,0) and radius 3.

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2 years ago
Suppose the government is deciding whether to create a vaccination program to prevent a potential epidemic of Zika virus. If the
Basile [38]

Answer:

Step-by-step explanation:

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2 years ago
Which equation can be used to find the length of Line segment A C? Triangle A B C is shown. Angle A C B is 90 degrees and angle
taurus [48]

<u><em>Answer:</em></u>

AC = 10sin(40°)

<u><em>Explanation:</em></u>

The diagram representing the question is shown in the attached image

Since the given triangle is a right-angled triangle, we can apply the special trig functions

<u>These functions are as follows:</u>

sin(θ) = opposite / hypotenuse

cos(θ) = adjacent / hypotenuse

tan(θ) = opposite / adjacent

<u>Now, in the given diagram:</u>

θ = 40°

AC is the side opposite to θ

AB = 10 in is the hypotenuse

<u>Based on these givens</u>, we will use the sin(θ) function

<u>Therefore:</u>

sin(40) = \frac{AC}{10}\\ \\AC = 10sin(40)

5 0
2 years ago
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They are not proportional because they do not have a constant ratio. If the data on the graph shows a curved line, it is not constant and is not proportional.
4 0
2 years ago
Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? (negative 6 minus StartRoot 51 EndRoot
Amanda [17]

Answer:

LAST OPTION: (6-\sqrt{21},6+\sqrt{21})

Step-by-step explanation:

1. Subtract 12x from both sides of the equation:

x^2-12x= 12x- 15-12x\\\\x^2-12x=-15

2. Since b=12:

(\frac{b}{2})^2=(\frac{12}{2})^2=(6)^2

3. Now can complete the square. Add (6)^2 to both sides of the equation:

x^2-12x+6^2=-15+6^2

4. Simplifying:

(x-6)^2=21

5. Solve for "x":

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6. The solution set is:

(6-\sqrt{21},6+\sqrt{21})

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2 years ago
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