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r-ruslan [8.4K]

2 years ago

8

Writing to Explain: A circle is divided into 18 equal parts. How many degrees is the angle for each part??How many degrees is th

e angle for 5 parts? Explain.

1 answer:

max2010maxim [7]2 years ago

7 0

A circle has 360 dehrees

360 degrees / 18 equal parts = 20 degrees per part

360 degrees / 5 equal parts = 72 degrees per part

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First-order linear differential equations

kkurt [141]

Answer:

$(1)\ logy\ =\ -sint\ +\ c$

$(2)\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Step-by-step explanation:

1. Given differential equation is

$\dfrac{dy}{dt}+ycost = 0$

$=>\ \dfrac{dy}{dt}\ =\ -ycost$

$=>\ \dfrac{dy}{y}\ =\ -cost dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{y}}\ =\ \int{-cost\ dt}$

$=>\ logy\ =\ -sint\ +\ c$

Hence, the solution of given differential equation can be given by

$logy\ =\ -sint\ +\ c.$

2. Given differential equation,

$\dfrac{dy}{dt}\ -\ 2ty\ =\ t$

$=>\ \dfrac{dy}{dt}\ =\ t\ +\ 2ty$

$=>\ \dfrac{dy}{dt}\ =\ 2t(y+\dfrac{1}{2})$

$=>\ \dfrac{dy}{(y+\dfrac{1}{2})}\ =\ 2t dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{(y+\dfrac{1}{2})}}\ =\ \int{2t dt}$

$=>\ log(y+\dfrac{1}{2})\ =\ 2.\dfrac{t^2}{2}\ + c$

$=>\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Hence, the solution of given differential equation is

$log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

8 0

3 years ago

A recent survey found that 5% of the population of the United States is unemployed. If Charlotte, North Carolina, has 30,850 une

mash [69]

Answer:

617000

Step-by-step explanation:

Division reverses multiplication.

If the total population of Charlotte which we'll call 'x' follows

x * 0.05 = 30850, then

30850 / 0.05 = x

x = 617000

7 0

2 years ago

Acompany makes toy plastic soccer balls each with a radius of 3 inches. How many square inches of plastic does the

drek231 [11]

Answer:

i think it number 1 113.0 in

3 0

2 years ago

Read 2 more answers

The following are the ages (years) of 5 people in a room:

Nat2105 [25]

Answer:

I think its 26 I would not swear it though

7 0

2 years ago

A rectangular kitchen is 4 meters longer than it is wide. If the area of the kitchen is 192 square feet meters, how many meters

Lunna [17]

Lets x = width
length = x + 4 (4 meters longer than wide)

A = L * W
192 = x ( x +4)
192 = x^2 + 4x
x^2 + 4x - 192 = 0
(x +16)(x-12) = 0
x - 12 = 0, x = 12
x + 16 = 0, x = -16
so width x = 12
length = 12 + 4 = 16 (4 meters longer than wide)

answer. J
16

3 0

2 years ago