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2 years ago

The standard form of the equation of a circle with center (h, k) and radius r is __________________.

1 answer:

5 0

$\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllll}
center\ (&{{ h}},&{{ k}})\qquad 
radius=&{{ r}}
\end{array}$

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A standard doorway measures 6 feet 8 inches by 3 feet. What is the largest dimension that will fit through the doorway without b

nikdorinn [45]

Answer:

87.73 inches

Step-by-step explanation:

We are given that the dimensions of the rectangular doorway are,

Length = 6 ft 8 inches = 80 inches and Width = 3 feet = 36 inches.

Using Pythagoras Theorem, we will find the diagonal of the rectangular doorway.

i.e. $hypotenuse^{2}=length^{2}+width^{2}$

i.e. $hypotenuse^{2}=80^{2}+36^{2}$

i.e. $hypotenuse^{2}=6400+1296$

i.e. $hypotenuse^{2}=7696$

i.e. Hypotenuse = ±87.73 inches

Since, the length cannot be negative.

So, the length of the diagonal is 87.73 inches.

As, the largest side of a rectangle is represented by the diagonal.

So, the largest dimension that will fit through the doorway without bending is 87.73 inches.

7 0

3 years ago

There are 220 people who voted at the 6th grade meeting.Sixty percent of the voters are in favor of changing the school mascot.H

Amiraneli [1.4K]

60% of 220 is 132.
220 -132 = 88

88 people.

4 0

3 years ago

solve for x. if anyone could explain how exactly I solve this question, it would be greatly appreciated!!! thank you

Gennadij [26K]

Answer:x=29

Step-by-step explanation:

You want to add all the like terms together so in this case 2x and x

29,30,20,8

3x=87

Divide 3 by both sides

X=29

5 0

3 years ago

8x=1 give your answer as a fraction in its simplest form

kotegsom [21]

Answer:

the answer is 1 over 8 , 1/8

4 0

3 years ago

Read 2 more answers

Which of the following data sets has a range of 40?

jeka94

Answer:

The second answer - 40, 10, 20, 50

Step-by-step explanation:

Range is the difference between the largest and smallest number in a data set. The biggest and smallest numbers in the data set are 50 and 10, respectively. 50 - 10 = 40.

4 0

2 years ago

Read 2 more answers