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ruslelena [56]
2 years ago
5

The equation of the circle whose center is at (2,1) and the radius is 3 is

Mathematics
1 answer:
-BARSIC- [3]2 years ago
8 0

\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{2}{ h},\stackrel{1}{ k})\qquad \qquad radius=\stackrel{3}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-2)^2+(y-1)^2=3^2\implies (x-2)^2+(y-1)^2=9

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What is the average room rate of room rates at hotels $700,$650,$680,$710,and $695
Reil [10]

Answer:

The answer is 687

Step-by-step explanation:

You need to add them all up and then divide by the number of rates which is 5

1.700+650+680+710+695=3435

2.3435/5=687

Hope this was helpful

8 0
2 years ago
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Juan plans to watch 2 movies each month. Write an equation to represent the total number of movies (n) the he will watch in (m)
Rom4ik [11]

Answer:

n = 2m

Step-by-step explanation:

total number of movies = 2 movies every month times the number of months

4 0
2 years ago
If the tape diagram represents a 10-pound bag of almonds, but a baker only uses 3/4 of a bag (the shaded region), how many pound
ale4655 [162]

Answer:

7.5 lbs.

Step-by-step explanation:

A fraction is a division problem so to turn it into a decimal you divide 3 by 4. 0.75. 0.75 multiplied by 10 lbs. is 7.5 lbs.

5 0
2 years ago
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How do you convert a location as a decimal into degrees, minutes , and then seconds. Like 46.19*North and 122.19*West
jonny [76]
Degrees are the units of measurement for angles.
There are 360 degrees in any circle, and one
degree is equal to 1/360 of the complete
rotation of a circle.

360 may seem to be an unusual number to use, but this part
of math was developed in the ancient Middle East. During
that era, the calendar was based on 360 days in a year, and
one degree was equal to one day.

* Fractions of Degrees

There are two methods of expressing fractions of degrees.
The first method divides each degree into 60 minutes (1° = 60'), then each minute into 60 seconds (1' = 60").
For example, you may see the degrees of an angle stated like this: 37° 42' 17"

The symbol for degrees is ° , for minutes is ', and for seconds is ".

The second method states the fraction as a decimal of a degree. This is the method we will use.
An example is 37° 42' 17" expressed as 37.7047° .

_____________________________________

Most scientific calculators can display degrees both ways. The key for degrees on my calculator looks like ° ' ", but the key on another brand may look like DMS. You will need to refer to your calculator manual to determine the correct keys for degrees. Most calculators display answers in the form of degrees and a decimal of a degree.
_____________________________________
It is seldom necessary to convert from minutes and seconds to decimals or vice versa; however, if you use the function tables of many trade manuals, it is necessary. Some tables show the fractions of degrees in minutes and seconds (DMS) rather than decimals (DD). In order to calculate using the different function tables, you must be able to convert the fractions to either format.
* Converting Degrees, Minutes, & Seconds to Degrees & Decimals

To convert degrees, minutes, and seconds (DMS) to degrees and decimals of a degree (DD):
First: Convert the seconds to a fraction.
Since there are 60 seconds in each minute, 37° 42' 17" can be expressed as
37° 42 17/60'. Convert to 37° 42.2833'.
Second: Convert the minutes to a fraction.
Since there are 60 minutes in each degree, 37° 42.2833' can be expressed as
37 42.2833/60° . Convert to 37.7047° .

Degree practice 1: Convert these DMS to the DD form. Round off to four decimal places.

(1) 89° 11' 15" (5) 42° 24' 53"
(2) 12° 15' 0" (6) 38° 42' 25"
(3) 33° 30' (7) 29° 30' 30"
(4) 71° 0' 30" (8) 0° 49' 49"
Answers.
* Converting Degrees & Decimals to Degrees, Minutes, & Seconds

To convert degrees and decimals of degrees (DD) to degrees, minutes, and seconds (DMS), referse the previous process.
First: Subtract the whole degrees. Convert the fraction to minutes. Multiply the decimal of a degree by 60 (the number of minutes in a degree). The whole number of the answer is the whole minutes.
Second: Subtract the whole minutes from the answer.
Third: Convert the decimal number remaining (from minutes) to seconds. Multiply the decimal by 60 (the number of seconds in a minute). The whole number of the answer is the whole seconds.
Fourth: If there is a decimal remaining, write that down as the decimal of a second.
Example: Convert 5.23456° to DMS.

5.23456° - 5° = 023456° 5° is the whole degrees
0.23456° x 60' per degree = 14.0736' 14 is the whole minutes
0.0736' x 60" per minutes = 4.416" 4.416" is the seconds
DMS is stated as 5° 14' 4.416"
5 0
3 years ago
Write an expression for the sequence of operations described below. divide 10 by the sum of n and m Do not simplify any part of
lina2011 [118]

Answer:

(m+n)/10

Step-by-step explanation:

divide 10 by the sum of n and m

(m+n)/10

3 0
2 years ago
Read 2 more answers
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