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2 years ago

A patio was to be laid in a design with one tile in the

Mathematics

1 answer:

Vlada [557]2 years ago

7 0

Answer:

Step-by-step explanation:

The number of tiles in the design is 1 + 2 + 3 + ...

We can model this as an arithmetic series, where the first term is 1 and the common difference is 1. The sum of the first n terms of an arithmetic series is:

S = n/2 (2a₁ + d (n − 1))

Given that a₁ = 1 and d = 1:

S = n/2 (2(1) + n − 1)

S = n/2 (n + 1)

Since S ≤ 60:

n/2 (n + 1) ≤ 60

n (n + 1) ≤ 120

n must be an integer, so from trial and error:

n ≤ 10

Mr. Tong should use 10 tiles in the final row to use the most tiles possible.

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What is the answer for this

KonstantinChe [14]

Answer: $y=\frac{1}{30}x+1$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

You need to find slope of the line with the formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Pick to points of the given line. You can choose the point (60,3) and the point (30,2).

Then, substituting into the formula:

$m=\frac{2-3}{30-60}=\frac{1}{30}$

You can observe in the graph that the line intercepts the y-axis at the point (0,1), therefore "b" is:

$b=1$

Substituting the slope and the y-intercept found into $y=mx+b$ , you get the equation of this line:

$y=\frac{1}{30}x+1$

Where "y" represents the Height (1,000 ft) and "x" represents the Time in seconds.

3 0

2 years ago

It requires a minimum of ____ points to make up a plane

baherus [9]

Answer:

Explanation: A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

3 0

2 years ago

Read 2 more answers

I need help with this math

ryzh [129]

Answer:

Right angle

Step-by-step explanation: you take the 57% angle and ad that with

the 33% angle and you got a prefect 90% also known as a "Right angle"

6 0

3 years ago

What is the value of X

Zina [86]

The value of X is is equal to 1

4 0

3 years ago

What is the partial product for 652 x 4= 2,608

Law Incorporation [45]

To find out the answer of the two multiplied products with the help of partial products we separate into unit based numbers so as to, for easier calculation and simplification with units of zeroes. So, in this case we are given the product of 4 times of 652.

Here we need to expand this product of higher number to zeroes and take aside the added numbers to come back to the original multiple of a product. That is:

$\huge{652}$

$\begin{bmatrix}652 \\ + \\ 0 \end{bmatrix}$

We just separated and expanded the product to be multiplied by removing other units following it. Same goes for other units at Hundredth, tenth and unitary position.

Therefore,

$\begin{bmatrix}600 \\ + \\ 52 \end{bmatrix}$

For tenth term.

$\begin{bmatrix}50 \\ + \\ 2 \end{bmatrix}$

The terms after splitting and expanding the product before multiplication is:

$\begin{bmatrix}600 \\ 50 \\ 2 \end{bmatrix}$

Multiply the product elements in individual manner and add the elements forged by individual multiplication to get the required solution.

$\therefore \quad \begin{bmatrix}600 \times 4 \\ 50 \times 4 \\ 2 \times 4 \end{bmatrix}$

$\begin{bmatrix}600 \times 4 \\ + \\ 200 \\ + \\ 2 \times 8 \end{bmatrix}$

$\begin{bmatrix}2400 \\ + \\ 200 \\ + \\ 2 \times 8 \end{bmatrix}$

$\begin{bmatrix}2600 \\ + \\ 8 \end{bmatrix}$

$\boxed{\mathbf{Final \: \: Answer \: = \: 2,608}}$

Hope it helps.

8 0

2 years ago