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Katen [24]
3 years ago
9

Complete the equation describing how x and y are related.

Mathematics
1 answer:
Sav [38]3 years ago
5 0

Answer: The "?" would equal 1.

Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.

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Am I dealing with harmonic stuff (trig)?
pochemuha

You just need to solve for when y=0:

\dfrac{\cos8t-9\sin8t}4=0\implies\cos8t-9\sin8t=0

\implies\cos8t=9\sin8t

\implies\dfrac19=\dfrac{\sin8t}{\cos8t}=\tan8t

\implies8t=\tan^{-1}\dfrac19+n\pi

\implies t=\dfrac18\tan^{-1}\dfrac19+\dfrac{n\pi}8

where n is any integer. We only care about when 0\le t\le1, which happens for n\in\{0,1,2\}.

t=\dfrac18\tan^{-1}\dfrac19\approx0.01

t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi8\approx0.41

t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi4\approx0.80

8 0
3 years ago
Find the area of the semicircle need help asapp
sergij07 [2.7K]

Answer:

2 pi

Step-by-step explanation:

The radius is 2

The area of a circle is

A = pi r^2

We have 1/2 of a circle so

1/2 A = 1/2 pi r^2

         =1/2 pi ( 2)^2

         =1/2 pi *4

      = 2 pi

4 0
3 years ago
The product of two numbers is 4 2/9, if one of the number is 38, find the number
o-na [289]

Answer:

hope its correct and does helps u

3 0
3 years ago
Kyra has a rock collection. When she puts her rocks into 2 equal plies, there are no rocks left over. When she puts her rocks in
Nat2105 [25]

Step-by-step explanation:

According to this description we need a number that can be divided by 2,3 and 4 since the amount of rocks can be described by a natural number. However if a number is divided by 4 it is divided by 2 as well since 2*2=4.

\frac{x}{4}  =  \alpha  \\  \frac{x}{2}  = 2 \alpha

If α is a natural number then 2*α is a natural number as well as the product of two natural numbers.

Which means that we need a number devided by 3 and 4.

The smallest number that fulfills this demand is 3*4=12.

Also any product of 12 with any natural number can be devided by 3, 4 and 2.

If the exercise asks for the numbers that are divided only by 2,3 and 4 these are:

{3}^{ \alpha }  \times 12 \: and \:  {4}^{ \alpha }  \times 12 \:  \\ where \:  \alpha  \: belongs \: to \: the \: set \: of \: all \: \\ natural \: numbers

8 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br> x =
Shkiper50 [21]
If there is no equation that means that x could equal anything.
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3 years ago
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