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3 years ago

If the perimiter of a sector is 4 times its radius, then the radian measure of the ceenral angel of the sector is

1 answer:

6 0

The perimeter of a sector includes two segments that are each equal to the radius, and the arc length. For your sector, the arc length is found as
perimeter = 4r = r + r + arc-length
2r = arc-length

Now we also know that arc-length is related to the central angle (in radians) by
arc-length = r*central-angle
2r = r*central-angle
2 = central-angle

The measure of the central angle of the sector is 2 radians.

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Solve the following initial-value problem:<br><br> (ex+y)dx+(3+x+yey)dy=0, y(0)=1<br><br> 0=

alex41 [277]

Answer:

$e^x+xy+3y+(y-1)e^y=4$

Step-by-step explanation:

Given that

$(e^x+y)dx+(3+x+ye^y)dy=0$

Here

$M=e^x+y$

$N=3+x+ye^y$

We know that

M dx + N dy=0 will be exact if

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$

$\frac{\partial N}{\partial x}=1$

it means that this is a exact equation.

$\int d\left(e^x+xy+3y+(y-1)e^y\right)=0$

Noe by integrating above equation

$e^x+xy+3y+(y-1)e^y=C$

Given that

x= 0 then y= 1

$e^0+0+3+(1-1)e^1=C$

C=4

So the our final equation will be

$e^x+xy+3y+(y-1)e^y=4$

3 0

3 years ago

Trey drove 250 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 275 miles?

GarryVolchara [31]

Answer:

10 gallons of gas.

Step-by-step explanation:

250/9 = how many miles 1 gallon of gas will take

250/9 = 27.78

1 gallon of gas = 27.78 miles

275/27.78 = 9.90 gallons

9.90 gallons round up to 10 gallons

Therefore, Trey would need 10 gallons of gas to drive 275 miles.

8 0

3 years ago

Help me quys plz, which one is it

torisob [31]

It’s the last answer because the slope equals 1 which basically equals just x. And the y intercept is -5

7 0

3 years ago

So, the square root of 72 lies between the numbers which The number 72 lies between the perfect squares means the square root of

Contact [7]

Answer: 64 and 81

Step-by-step explanation: I used my brain. :)

8 0

3 years ago

Read 2 more answers

Roman55 [17]

Part A:What percentage of the total students surveyed like both watching television and reading?

The total amount of student is 230
The amount of students that like to read and watch television is 80

As a fraction it is 80/230
Turn that to a percentage
It is:34.7826%

Part A=34.7826%

Part B:What is the probability that a student does not like watching television also does not like reading?

On the table it shows 20

So the probability is 20/230

Part B=20/230

6 0

2 years ago