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3 years ago

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Mathematics

1 answer:

natka813 [3]3 years ago

5 0

A = πr² = 3.14 * 1.5² = 3.14 * 2.25 ≈ 7.1 cm²

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Find the measure of each minor arc formed by a regular octagon inscribed in a circle. A. 15° B. 30° C.45° D. 60°

marin [14]

Your octagon has a central angle of 360 deg. Since you're speaking of an octagon, which implies that the octagon is made up of eight triangles, divide 360 deg by 8 to obtain the measure of each minor arc formed.

6 0

3 years ago

1. A sine function has the following key features

strojnjashka [21]

Answer:

1) $y= 2sin(\frac{1}{2}x) + 2$

2) $y= 3sin(\frac{\pi}{2}x)-1$

3) $y= 2sin(2x) -2$

Step-by-step explanation:

General form of sin function is

$y= Asin(Bx) + C$

Where A is Amplitude

B is $\frac{2\pi}{\text{Period}}$

C is Mid line

1) Given : A sine function has the following key features

Frequency = $\frac{1}{4\pi}$

Period is $P=\frac{1}{f}=\frac{1}{\frac{1}{4\pi}}=4\pi$

Amplitude= 2

Mid line y= 2

Y intercept (0,2)

This function is NOT a reflection of its parent function of the x-axis

Solution : We put the value in the general form of sin function

A= 2 , $B=\frac{2\pi}{4\pi}=\frac{1}{2}$ , C=2

$y= Asin(Bx) + C$

$y= 2sin(\frac{1}{2}x) + 2$

2) Given : A sine function has the following key features

Period = 4

Amplitude = 3

Mid line y = -1

Y intercept (0,-1)

Solution : We put the value in the general form of sin function

A= 3 , $B=\frac{2\pi}{4}=\frac{\pi}{2}$ , C=-1

$y= Asin(Bx) + C$

$y= 3sin(\frac{\pi}{2}x)-1$

3) Given : A sine function has the following key features

Period = $\pi$

Amplitude = 2

Mid line y = -12

Y intercept (0,-2)

Solution : We put the value in the general form of sin function

A= 2 , $B=\frac{2\pi}{\pi}=2$ , C=-2

$y= Asin(Bx) + C$

$y= 2sin(2x) -2$

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2 years ago

Which matrix represents the system of equations shown below?

Kazeer [188]

So matrix which show equation 4x+2y=4 is $\left[\begin{array}{ccc}4&2&4\\12&-1&26\end{array}\right]$ .

Given that we have an equation that is 4x+2y=4

So equation is a statement that the values of two mathematical expressions are equal (indicated by the sign =).

So in order to write this equation in matrix form we have to write it into augmented matrix

So augmented matrix is a matrix whose elements are the coefficients of a set of simultaneous linear equations with the constant terms of the equations entered in an added column.

Therefore the matrix will be:

$\left[\begin{array}{ccc}4&2&4\\12&-1&26\end{array}\right]$ .

Learn more about augmented matrix on brainly.com/question/16796667

#SPJ9

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11 months ago

Which inequality represents the situation ten less than a number is a minimum of 30?

Shkiper50 [21]

Answer:

x - 10 ≥ 30

Step-by-step explanation:

I'm 99.8% sure

It says 10 less than a number so that means subtract 10 from a number

Then it says minimum of 30 so that means the number has to be 30 or more so that's why I use the more than of equal to sign.

Hope this helps!

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2 years ago

Daniel is adding a metal border to a company's lawn to stop the grass growth. The length of the lawn is 42 yards and the width i

Monica [59]

Hi!

you are trying to find the perimeter of the lawn and by the looks of it, it's a rectangual so you would add up all the side.
42+42= 84
27+27= 54
84+54= 138
Daniel will need 138 metal border. :)

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2 years ago