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Sati [7]
2 years ago
8

Write a cosine function that Has a midline of 2 an amplitude of 3 and a period of 7pi/4

Mathematics
1 answer:
Alexxx [7]2 years ago
5 0

Given:

Amplitude of cosine function, A=3.

Period, T=7π/4.

Midline, D=2.

The time period can be expressed as:

T=\frac{2\pi}{B}

Put T=7π/4 to find the value of B.

\begin{gathered} \frac{7\pi}{4}=\frac{2\pi}{B} \\ B=\frac{4\times2}{7} \\ =\frac{8}{7} \end{gathered}

The general cosine function can be expressed as,

f(x)=A\cos (Bx)+D

Substitute B=8/7, A=3 and D=2 in above equation.

f(x)=3\cos (\frac{8}{7}x)+2

Therefore, the cosine function is,

f(x)=3\cos (\frac{8}{7}x)+2

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Vera_Pavlovna [14]

Area of the word ME = 20 square units

Solution:

Picks' Theorem:

$Area=I+\frac{B}{2}-1$

where <em>I </em>is the interior points and <em>B</em> is the points on the boundary.

Let us first find the area of the letter M:

Number of interior points in M = 0

Number of points in the boundary = 22

Using pick's theorem,

Area of M = 0+\frac{22}{2}-1

Area of M = 10 square units

Now, find the area of the letter E:

Number of interior points in E = 0

Number of points in the boundary = 22

Using pick's theorem,

Area of E = 0+\frac{22}{2}-1

Area of E = 10 square units

Area of the word ME = Area of M + Area of E

                                   = 10 square units + 10 square units

Area of the word ME = 20 square units

7 0
4 years ago
Simplify: 3 + 5(10 - 5) + ​42
AlekseyPX
The answer to this question is 70

7 0
4 years ago
Twenty boys signed up for the school play. The number of girls who signed up was 195% of the number of boys. At the auditions, o
Firlakuza [10]
20 boys signed up
# of girls who signed up was 195% of the number of boys who signed up

Find 195% of 20:

1.95 * 20 = 39

So 39 girls signed up.

To find out what percent of girls who signed up for the play attended the auditions, divide 26 to the total number of girls who signed up:

26 / 39 = 0.666666667

Multiply by 100:

0.666666667 * 100 = 66.6666667%

So approximately 66.67% or 66 2/3%
7 0
4 years ago
When does the proportion form of newton's second law take the form of an equation?
Brrunno [24]
Newton's law of motion has three parts. The second of which states that the force needed to move an object is directly proportional to the acceleration of the motion. The proportion can be written as,
              F = ka
where k is the constant of proportionality. This can be substituted with the mass of the object such that the equation would become. 
                F = ma
where F is force, m is mass, and a is acceleration. 
8 0
3 years ago
In a triangle ABC, AB=<br>BC, Bc=CA what is<br>the measurement<br>of &lt;A​
goldfiish [28.3K]

Answer:

  • 60°

Step-by-step explanation:

  • If AB=BC=CA, it means ABC is an equilateral triangle which all three sides are equal.
  • Thus, all three internal angles are also congruent to each other and are each 60°.
8 0
4 years ago
Read 2 more answers
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