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1 year ago

Come up with two examples of ratio relationships that are interesting to you.

Mathematics

1 answer:

dalvyx [7]1 year ago

8 0

Let's take an mathematical example

Let's find the ratio of volume of a cone and cylinder if radius and height are same for both .

See

V for cone=1/3πr²h
V for cylinder=πr²h

The ratio is 1:3

You might be interested in

Log2(y)=3log3(u) log5(y)=2log(u) + 3log5(v) Write y in terms of u and v

Gelneren [198K]

It’s attached there

Here

7 0

2 years ago

Solve using algebraic equation: 5sin2x=3cosx (No exponents)

DaniilM [7]

$5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x$

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

$10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0$

Now the zero product property tells us that there are two cases where this is true,

$\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}$

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of $\dfrac\pi2$ , so $x=\dfrac{(2n+1)\pi}2$ where $n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}$

which occurs twice in the interval $[0,2\pi)$ for $x=\arcsin\dfrac3{10}$ and $x=\pi-\arcsin\dfrac3{10}$ . More generally, if you think of $x$ as a point on the unit circle, this occurs whenever $x$ also completes a full revolution about the origin. This means for any integer $n$ , the general solution in this case would be $x=\arcsin\dfrac3{10}+2n\pi$ and $x=\pi-\arcsin\dfrac3{10}+2n\pi$ .

6 0

3 years ago

Does anyone know this?

Alchen [17]

Answer:

Sorry man I don't know this I surely would help you if I knew tho

6 0

2 years ago

Read 2 more answers

Please help me with this question!!

quester [9]

Answer:

Step-by-step explanation:

a1 = 6

a2 = 10

a3 = 14

The next member of the sequence is 4 more than the current sequence. Therefore d = 4

a1 = 6

d = 4

n = 13

an = a1 + (n - 1)*d

an = 6 + (n - 1)*4

a_13 = 6 + 12*4

a_13 = 6 + 48

a_13 = 54

8 0

2 years ago

Find the area of the triangle with the given measurements. A = 48°, b = 30 ft, c = 14 ft

Mariulka [41]

Answer:

156.06 ft²

Step-by-step explanation:

The applicable formula for the area of the triangle is ...

Area = (1/2)bc·sin(A)

Filling in the given numbers, you have ...

Area = (1/2)(30 ft)(14 ft)·sin(48°) ≈ 156.06041335 ft²

The area of the triangle is about 156.06 square feet.

_____

Sufficient digits are provided here so that you can round to the precision you (or your computer) may desire.

3 0

2 years ago