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2 years ago

Help, please!!!!!!!!!!!!!!! i will GIVE 40 POINTS!!!!!!!! DO all of them!!!!!!!!!!!!!!

Mathematics

2 answers:

andre [41]2 years ago

5 0

The answer for the first one .

Arlecino [84]2 years ago

4 0

1-a)54.82,b)638.4522,c)12.7265, d)22.436,e)20595.6246
2-a)90.06,b)11.44,c)0.8104,d)417.315,
e)2799.7598,f)3.985238095,g)7.05, h)4252.48

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addison and kelsey are running on a path modeled by x^2+y^2-10x-18y-378=0, where the distance is in meters. what is the maximum

bulgar [2K]

The maximum distance is the diameter of the circle, which is of 44 units.

The equation of a circle of radius r and center $(x_0,y_0)$ is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

The diameter is twice the radius, and is the maximum distance between two points inside a circle.

In this problem, the circular path is modeled by:

$x^2 + y^2 - 10x - 18y - 378 = 0$

We complete the squares to place it in the standard format, thus:

$x^2 - 10x + y^2 - 18y = 378$

$(x - 5)^2 + (y - 9)^2 = 378 + 25 + 81$

$(x - 5)^2 + (y - 9)^2 = 484$

Thus, the radius is:

$r^2 = 484 \rightarrow r = \sqrt{484} = 22$

Then, the diameter is:

$d = 2r = 2(22) = 44$

The maximum distance is the diameter of the circle, which is of 44 units.

A similar problem is given at brainly.com/question/24992361

7 0

2 years ago

Find the approximate side length of a square game board with an area of 123 inches to the second power

aleksklad [387]

61.5 or 61 and one half

4 0

3 years ago

Find the measure of the central angle of a sector if its area is 5 pi and the radius is 6

lesantik [10]

For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees

3 0

3 years ago

A tortoise is walking in the desert. It walks

Assoli18 [71]

Firstly change the time into sec.that is
1 min=60 sec
5 min=60 into 5
=300 sec
speed=distance/time
=62.5/300
=0.20833333333333.............

3 0

3 years ago

The basic wage earned by a truck driver for a a 40 hour week is 560.00$ for overtime work the driver is paid one and a half hour

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

overtime = 1/2 x daily hourly rate

daily hourly rate = amount earned in a week / total hours worked

560 /40 = 14

overtime = 14/2 = 7

6 0

2 years ago