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the perimeter of a triangle is equilateral. What is the length of 1 side of the triangle? write as an expression

The shape that can tessellate without leaving gaps is the hexagon (option A).

The shapes that can tessellate without leaving gaps are shapes that can be repeated to completely cover a flat surface without any overlaps or gaps. Among the options provided, the shape that will tessellate without leaving gaps is the hexagon (option A).

A hexagon is a six-sided polygon with equal sides and angles. It is a regular polygon, which means all of its sides and angles are equal. A regular hexagon can be arranged and repeated in a pattern to fill a plane without any gaps or overlaps. Bees' honeycombs are a real-world example of hexagonal tessellation.

On the other hand, octagons (option B) and pentagons (option C) do not tessellate by themselves without gaps. While they can be used in combination with other shapes to create tessellations, they cannot tessellate on their own.

A circle (option D) cannot tessellate without leaving gaps. A circle is a curved shape, and it cannot form a repeating pattern that completely covers a flat surface without overlaps or gaps.

In summary, the shape that can tessellate without leaving gaps is the hexagon (option A).

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1. We can see here that the modes of the given set of numbers will be: 12, 13, 14, 19.

2. The word in the sentence that is the mode is: the.

3. The mode of x is: 7

The mode of y is: - 2

In statistics, the mode is the value or values that occur most frequently in a given dataset. It is one of the most common measures of central tendency, along with the mean and the median.

To find the mode of a dataset, you need to look for the value that appears most often. If there is more than one value that occurs with the same highest frequency, the dataset is said to be bimodal or multimodal.

If no value appears more frequently than any other, the dataset is said to have no mode.

4. Modal class: 4-

Modal class: 12 - 20

5. Knowing the modal size of glass that its customers purchase can provide several benefits for the small company that sells glass. Here are some ways in which the company could benefit:

6. We can actually find the total frequency of the other three classes by subtracting the frequency of the first class from the total number of observations:

Total Frequency of the three classes = Total number of observations -Frequency of the first class

= 115 - 84 = 31

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Solve Absolute Value.

|6x + 3| = 15

We know either 6x + 3 =15 or 6x + 3 = −15

================================================================

6x + 3 = 15 (Possibility 1)

6x + 3 - 3 = 15 − 3 (Subtract 3 from both sides)

6x = 12

\(\boldsymbol{\sf{\dfrac{6x}{6}=\dfrac{12}{6} \ \longmapsto \ (Divide \ both \ sides \ by \ 6) }}\)

x = 2

=================================================================

6x + 3 = −15 (Possibility 2)

6x + 3 - 3 = -15 - 3 (Subtract 3 from both sides)

6x = -18

\(\boldsymbol{\sf{\dfrac{6x}{6}=\dfrac{-18}{6} \ \longmapsto \ (Divide \ both \ sides \ by \ 6) }}\)

x = -3

Therefore, the answer is x = 2 or x = −3. The correct option is alternative "D".

Step-by-step explanation:

\(47.1 = 2\pi \times r \\ r = \frac{47.1}{2\pi} = 7.4962996 \\ diameter = 2 \times r \\ = 14.99 = 15 \: feet\)

Answer:

75cedis

\(50 = 40\% \\ 60\%\)

The amount of money Kofi earned today from mowing lawns is 30 cedis.

Percentage can be described as a fraction of a number multiplied by 100. Percentage is represented with this sign - %.

In order to determine the amount Kofi earned today, this formula would be used:

Percentage Kofi earned today x amount Kofi earned yesterday

60% x 50 cedis

0.6 x 50 cedis

= 30 cedis

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Answer:

A) 1/30

Step-by-step explanation:

total of 25 coins at beginning

total of 24 coins after the first coin is drawn and spent

P('d' then 'n'): 5/25 · 4/24 = 1/5 · 1/6 = 1/30

Answer:

$314.15 (A)

Step-by-step explanation:

We start by subtracting the 15% discount. 15% can be represented by 0.15, and 100% can be represented by 1. So therefore, the new price of the TV will be 1-0.15 = 0.85 of the original price using just the 15% discount. Therefore, 0.85 x 399 = $339.15. We then take this number and subtract another $25 to get $314.15

The function represented by the graph given is equivalent to -

g(x) = (x - 4)².

The function plotted represents a quadratic equation. A quadratic equation has a degree of 2. The given function is shifted to the left by 4 units. This means that the following transformation will take place on the x - coordinate of each and every point lying on the graph -

f(x, y) → f(x - 4, y)

So, we can write the function as -

g(x) = (x - 4)²

So, the function represented by the graph given is equivalent to -

g(x) = (x - 4)²

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Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.

What are basic arithmetic operations?

Basic arithmetic operations are fundamental mathematical calculations that involve manipulating numerical values using a set of basic operations.

To find out how many points Antonio needs to score in his next game to reach an average of at least 100 points per game, we can use the following formula:

Total points needed = (number of games + 1) × average score goal - total points scored so far

In this case, Antonio has played 5 games, so the number of games he will have played after his next game is 6. His goal is an average of 100 points per game, so his average score goal is 100. The total points he has scored so far is:

105 + 95 + 97 + 82 + 110 = 489

Substituting these values into the formula, we get:

Total points needed = (6) × (100) - 489

Total points needed = 600 - 489

Total points needed = 111

Hence, Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.

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Answer:

6/5

Step-by-step explanation:

Answer: The answer is -10 :)

Step-by-step explanation:

12)f(x)=2x-6

=》f(3)=2(3)-6

=》6-6=0

f(×)=2x-6

f(0)=-6

=》f(-2)=2(-2)-6

=》-4-6

=-10

13)h(3)=6(3)+2

=》18+2

=20

h(0)=0+2

h=2

(-2)=6(-2)+2

=》-12+2

=-10

Answer:

3/12

Step-by-step explanation:

Answer:

If x is equal to the sum of the series 1+2+3+4, then the value of x is 10.

The sum of the series 1+2+3+4 is calculated by adding each term in the series:

1 + 2 + 3 + 4 = 10

So, x = 10.

I hope this helps! Let me know if you have any other questions.

Step-by-step explanation:

It is not possible to determine the value of x without knowing the upper limit of the series of numbers being added together. If the series of numbers being added together is finite, then x can be calculated by adding up all of the numbers in the series.

For example, if x is equal to the sum of the first ten positive integers (1+2+3+4+5+6+7+8+9+10), then x would be equal to 55.

To find the sum of the first n positive integers, you can use the formula:

x = (n * (n + 1)) / 2

where n is the number of integers in the series. For example, if n is equal to 4, then the formula would be:

x = (4 * (4 + 1)) / 2 = (4 * 5) / 2 = 20 / 2 = 10

This formula can be used to quickly and easily calculate the sum of the first n positive integers for any value of n.

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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Answer:

c

Step-by-step explanation:

Answer: No solution

Step-by-step explanation:

\(\sqrt{x-3}=\sqrt{x} +3\\\)

square both sides

x-3=x+9

x=x+12

0=12

0 does not equal 12, and therefor, there is no solution.

The cost spent on the rented two-bedroom apartment is $1,590 per month

In a year, the rent amounts to 1590 x 12 = $19,080

Cost to be used to buy a new home is estimated below;

Monthly payment = $2,380

In a year, that amounts to 2380 x 12 = $28,560

Cost of moving = $375

Total cost spent on buying the new house = 28560 + 375 = $28,935

Therefore, the additional cost for housing the first year = 28,935 - 19,080

Extra cost = $9,855

When viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.

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Answer:

x=1/2

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

A (6,1)

B (12,2)

slope = (2-1)/(12-6)

1/6

Answer:

n to the second power is 1

the square root of n  is 2 square roots called √n and −√n √n2 = |n|

n = n

Step-by-step explanation:

The equation be 2x² - 3x - 5 then the value of x = -1.

Let a and b represent the coefficients of a parabola in the standard form ax² + bx +c = 0.

Part A: Let f(x) = 0 and solve for x to get the x-intercepts.

Given the function 2x²-3x - 5 = 0

Factor to get (2x - 5) (x + 1) = 0

then 2x - 5 = 0 and x = 2.5x + 1 = 0 and x = -1

These are the x-intercepts.

Part B: As the coefficient of the \($$x^2\) term exists positive, the parabola opens up, and the vertex exists at a minimum. The coordinates of the parabola exist given by -b/2a, f( -b/2a)

where a and b represent the coefficients of a parabola in the standard form ax² + bx +c = 0.

In this case a = 2, b = -3 and c = -5.

So -b/2a = 3 / 4

f(-b/2a) = \(2 * (3/4)^2 -3 * (3/4) - 5\) = -6.125.

The coordinates of the vertex exist (3/4, -6.125)

Part C: I will give them a minimum from completing the square

y = \($$2(x - 0.75)^2\) - 6.125

as x approaches + ∞, y approaches + ∞.

as x approaches - ∞, y approaches + ∞.

It's a quadratic.

The y values go to + ∞ when x goes from - ∞ to + ∞.

Part D: The graph is as follows:

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Answer:

its c

Step-by-step explanation:used brain and used again

Answer: linear



Step-by-step explanation:

-Hope this helps :D

Answer:

Function values can be positive or negative, and they can increase or decrease as the input increases.

Answer:

The minimum value of the function is 5.6.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

\(f(x) = ax^{2} + bx + c\)

It's vertex is the point \((x_{v}, y_{v})\)

In which

\(x_{v} = -\frac{b}{2a}\)

\(y_{v} = -\frac{\Delta}{4a}\)

Where

\(\Delta = b^2-4ac\)

If a<0, the vertex is a maximum point, that is, the maximum value happens at \(x_{v}\), and it's value is \(y_{v}\).

If a > 0, then \(y_{v}\) is the minimum value of the function.

In this question:

We are given the following function:

\(f(x) = 0.1x^2 - x + 8.1\)

Which is a quadratic function with \(a = 0.1, b = -1, c = 8.1\).

To find the minimum value, we have that:

\(\Delta = b^2-4ac = (-1)^2 - 4(0.1)(8.1) = -2.24\)

\(y_{v} = -\frac{-2.24}{4(0.1)} = 5.6\)

The minimum value of the function is 5.6.

To find the minimum value of the expression y=15(x-25)^2+130, we can set the derivative of the expression equal to 0 and solve for x. This will give us the value of x that corresponds to the minimum value of y.

The derivative of the expression is given by:

dy/dx = 30(x-25)

Setting this equal to 0, we get:

0 = 30(x-25)

Solving for x, we get:

x = 25

Substituting this value into the original expression for y, we get:

y = 15(25-25)^2+130 = 130

Therefore, the minimum value of y is 130, which is achieved when x=25.