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Sonbull [250]
3 years ago
12

The opening in a rectangular door frame measures 9 feet by 3 feet. Each of the four doors described in the table measures 9 feet

by 3 feet, but have different diagonal lengths. Which door will fit in the rectangular opening?
Door 1: 10 ft
Door 2: 3 square root 10ft
Door 3: 6 square root 2ft
Door 4: 12ft
Mathematics
2 answers:
yarga [219]3 years ago
4 0

Answer:B

Step-by-step explanation:

Leto [7]3 years ago
3 0
Answer: Door 2 will fit through the rectangular door.

To do this problem, we need to use the Pythagorean Theorem. The door is a rectangle and if we draw a line from corner to corner, we have right triangles.

To find the diagonal distance, we have to write and solve the equation below.

3^2 + 9^2 = c^2
9 + 81 = c^2
90 = c^2
c = the square root of 90

The square root of 90 can be simplified to 3 square roots of 10.
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Question 2 options:
Alex777 [14]
7736.4uhshshszszehzeehe
3 0
3 years ago
Which statement best reflects the solution(s) of the equation?
Inessa [10]

x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Step-by-step explanation:

We need to solve the equation \frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1} and find values of x.

Solving:

Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)

Multiply the entire equation with x(x-1)

\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}\\\frac{1}{x-1}*x(x-1)+\frac{2}{x}*x(x-1)=\frac{x}{x-1}*x(x-1)\\Cancelling\,\,out\,\,the\,\,same\,\,terms:\\x+2(x-1)=x^2\\x+2x-2=x^2\\3x-2=x^2\\x^2-3x+2=0

Now, factoring the term:

x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0\\x-1=0\,\,and\,\, x-2=0\\x=1\,\,and\,\, x=2

The values of x are x=1 and x=2

Checking for extraneous roots:

Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.

If we put x=1 in the equation, \frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}  the denominator becomes zero i.e

\frac{1}{1-1}+\frac{2}{1}=\frac{1}{1-1}\\\frac{1}{0}+2=\frac{1}{0}

which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.

If we put x=2  in the equation,

\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}

\frac{1}{2-1}+\frac{2}{2}=\frac{2}{2-1}\\\frac{1}{1}+1=\frac{2}{1}\\1+1=2\\2=2

So, x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Keywords: Solving Equations and checking extraneous solution

Learn more about Solving Equations and checking extraneous solution at:

  • brainly.com/question/1626495
  • brainly.com/question/2959656
  • brainly.com/question/2456302

#learnwithBrainly

5 0
4 years ago
your uncle jim lives in england, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amount
Talja [164]

Based on the amount of your monthly bill, if you lived in England, your bill to the nearest hundredth is $185.82

<h3>How to find your bill in pound sterling?</h3>

You have a monthly bill of $304.72. If this was also your bill in England id you stayed there, it would need to be converted to pounds. The way to do this is by using the exchange rate.

If each British Pound is $1.64 U.S. Dollar, then the value of your monthly bill if you lived in England is:

= Monthly bill in dollars / Conversion or exchange rate

= 304.72 / 1.64

= $185.82

Find out more on the exchange rate at brainly.com/question/20332320

#SPJ1

7 0
1 year ago
What is mBCD. Please help. Quickly
Flauer [41]

Answer:

82°

Step-by-step explanation:

m÷ BAD + m÷ BCD = 180°

98° + m÷BCD = 180°

m÷BCD = 180° - 98°= <u> </u><u>8</u><u>2</u>°

6 0
3 years ago
Clare has a recipe for yellow cake. She uses 913 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c
sergejj [24]

Answer:

(C)c= \frac{3}{7}f

Step-by-step explanation:

Clare uses 9\frac{1}{3} cups of flour to make 4 cakes.

It means  she uses 1 cup of flour to make 4\div9\frac{1}{3} cakes.

Let us simplify that expression first for future use.

4\div9\frac{1}{3}=4\div\frac{28}{3} =4 X \frac{3}{28} =\frac{3}{7}

Therefore, Clare uses 1 cup of flour to make \frac{3}{7} cakes.

If Noah follows the same recipe,

He uses f cups of flour to make c cakes

Using Ratio Method

→  Name  :  Cup  :  Cake

→  Clare   :    1        :   \frac{3}{7}

→  Noah   :     f       :   c

By using cross multiplication

c X 1 = \frac{3}{7}f

c= \frac{3}{7}f

The equation c= \frac{3}{7}f represents the relationship between c and f

8 0
4 years ago
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