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olga_2 [115]
3 years ago
8

In the floor tile pattern, the figure is a square and the two triangles are congruent.

Mathematics
1 answer:
Licemer1 [7]3 years ago
8 0

Answer:

7.1

Step-by-step explanation:

Since it is a square you can use the Pythagorean theorem (a²+b²=c²) by filling in what you know. a²=5 and b²=5 so you have 5²+5²=c². This simplfies to 25+25=c². Now you simplify again to get 50=c². Finally you have to square root everything because the equation can't end in c², it has to be the most simplified it can be. This equals ≈7.1

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Step-by-step explanation:

6 0
3 years ago
Replace the ? with one of the following symbols (<, >, =, or ≠) for 4 + 3 + 7 ? 7 + 0 +7 A. > B. ≠ C. = D. <
ExtremeBDS [4]
What do you mean as that
6 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 32 ft long. She wants to leave a uniform strip of floor aroun
Rainbow [258]

Answer:

The rug should be 15 ft wide and 28 ft long.

Step-by-step explanation:

I have attached a figure that represents the situation.

The the rug is l by h, the width of the strip of floor is w.

We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that

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From the figure we see that

l= 32-2w

h=19-2w

Therefore,

l*h=420\\\\(32-2w)(19-2w)=420

We expand this equation and get:

4w^2-102w+608=420\\\\4w^2-102w+188=0

using the quadratic equation we get two solutions:

w=2\\w=23.5

since the second solution, namely w=23.5, is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take w=2 to be our solution.

Now we find the dimensions of the rug:

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The rug is 15 ft wide and 28 ft long.

8 0
4 years ago
What is the slope between (-12, 1), (4,1)?
MrMuchimi

Answer:

m=0

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-12, 1)

Point (4, 1)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute [Slope Formula]:                    m=\frac{1-1}{4+12}
  2. Subtract/Add:                                          m=\frac{0}{16}
  3. Divide:                                                      m=0
7 0
3 years ago
Read 2 more answers
What is the value of x in 2(5^x)=14
Radda [10]
Divide by 2 to get
  5^x = 7
Now take the logarithm.
  x·log(5) = log(7)
  x = log(7)/log(5) ≈ 1.209062
8 0
4 years ago
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