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3 years ago

What is the solution to proportion 3/m=12/15

Mathematics

1 answer:

Anastasy [175]3 years ago

3 0

The awnser is m equals 15 over four I hope this helps u if so could you mark me the brainliest awnser

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Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

3 0

3 years ago

The opposite of 12 plus a number

dlinn [17]

Im pretty sure the answer is Twelve :))

6 0

2 years ago

Find the circumference and the area of a circle with radius 5mm.

Archy [21]

Answer: 31.4 mm

Step-by-step explanation:

C=2πr

2(3.14)(5)

2(15.7)

31.4

8 0

2 years ago

Brian is making 5 triangular flags, each with the dimensions shown below. How much fabric will Brian need to make the 5 flags?

Finger [1]

Answer:

1,620 square inches

Step-by-step explanation:

The area of one triangle can be computed using the formula ...

A = 1/2bh . . . . where b represents the base length, h represents height

A = 1/2(18 in)(36 in) = 324 in²

Then the area of 5 flags will be 5 times that much:

fabric needed = 5 × (324 in²) = 1,620 in²

Brian will need 1,620 square inches of fabric for his 5 triangular flags.

6 0

3 years ago

Read 2 more answers

S=4LW+2WH; S equals=160, L equals=9, W equals=4 (Surface area of a special rectangular box

zalisa [80]

S=4LW+2WH
160=4(9)(4)+2(4)H

160 = 144 + 8H

160-144 = 144 - 144+8H

16 =8H

16/8H = 8H/8

H=2

3 0

2 years ago