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Sveta_85 [38]
3 years ago
15

Your making a mosaic design on a square table top. You have already covered half of the table top with 150 1-inch square tile pi

eces. a. What are the dimensions of the table top? b. What is the measure of the diagonal from one corner to the opposite corner of the table top?
Mathematics
1 answer:
Luden [163]3 years ago
7 0
Since this table top is a square, we would expect it to have the same sides. So if your halfway, we can add another 150 1-inch square tile pieces, which makes it 300 inches (150 + 150 = 300; then multiplied by 1 inch).

(a) The dimension can be described using length and width values. So, its dimension is 300 x 300 inches.

(b) The diagonal from one corner to the opposite corner is calculated using the formula: d= √2a, where a represents the measurement of 1 side. Using the values and formula, the diagonal therefore measures 424.26 inches.
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....Help Please.......
Nikolay [14]

Answer:

  linear

Step-by-step explanation:

The x-values all differ by 1, which is to say they are equally-spaced. The corresponding y-values all differ by -3. When (first) differences of equally-spaced values of y are constant, the function is of first degree, which is to say it is linear.

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If second differences are non-zero and constant, the function is of second degree, quadratic.

6 0
3 years ago
Read 2 more answers
Is (0,0) a solution to this system? y ≤ x^2 + x - 4 y < x^2 + 2x + 1
yaroslaw [1]

( 0,0 ) is not the solution of the first inequality y≤x² +x-4 but ( 0,0) is the solution for the second inequality y <x²+2x+1.

<h3>What is inequality?</h3>

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than’

Finding the solution for the inequality is as follows:-

y ≤  x² +x-4 by putting x and y equal to 0.

0 ≤ 0 + 0 -4

0 ≤ - 4

This is incorrect so (0,0) can not be the solution for this inequality.

y < x²+2x+1.

0 < 0 + 0 + 1

0 < 1

This inequality is showing the solution for (0,0)

Therefore ( 0,0 ) is not the solution of the first inequality y≤x² +x-4 but ( 0,0) is the solution for the second inequality y <x²+2x+1.

To know more about inequality follow

brainly.com/question/24372553

#SPJ1

5 0
2 years ago
A furnace was originally priced at $907.07 but went on sale for 33% off. If Omar bought the furnace and paid 9% sales tax, how m
Allisa [31]

Answer:

662.433221

Step-by-step explanation:

907.07 × 1.09 × 0.67

3 0
2 years ago
Note: Figure is not drawn to scale.
Vadim26 [7]
A. If you disassemble the shapes and add the numbers, you can get the answer :).
4 0
4 years ago
Solve for the sqrt(x-2)+8=x
kirza4 [7]
<h3>Answer:  x = 11</h3>

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

Work Shown:

\sqrt{x-2}+8=x\\\sqrt{x-2}=x-8\\\left(\sqrt{x-2}\right)^2=(x-8)^2 \text{ square both sides}\\x-2=x^2-16x+64\\0=x^2-16x+64-x+2\\0=x^2-17x+66\\x^2-17x+66 = 0\\(x-11)(x-6) = 0\\x-11 = 0 \text{ or } x-6 = 0\\x = 11 \text{ or } x = 6\\

Those are the two possible solutions . We need to check each possible solution.

Plug in x = 11 then simplify. If we get the same number on both sides, then x = 11 is confirmed.

\sqrt{x-2}+8=x\\\sqrt{11-2}+8=11\\\sqrt{9}+8=11\\3+8=11\\11=11\\

We get 11 on both sides, so the solution x = 11 is confirmed.

Repeat for x = 6 as well

\sqrt{x-2}+8=x\\\sqrt{6-2}+8=6\\\sqrt{4}+8=6\\2+8=6\\10=6\\

We do not get the same thing on both sides, so x = 6 is not a solution. We consider this extraneous.

4 0
3 years ago
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