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Drupady [299]
3 years ago
10

Write the equation of the graph

Mathematics
1 answer:
olchik [2.2K]3 years ago
5 0

Answer:

y = 2.cos(x) - 2

Step-by-step explanation:

1. Shifting cos(x) right or left, top or down, as the graph in the question has the same illustration of  cos(x). Consider

y = a.cos(x) + b

2. find a and b by using two sample points from the graph: (0, 0) and (\pi, -4)

0 = a.cos(0) + b  => a + b = 0\\ -4 = a.cos(\pi) + b => b-a=-4\\\left \{ {{2b=-4} \atop {2a=4}} \right.\\a = 2, b=-2\\

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Can you show me how you got that answer??...
Bess [88]
What answer my dude.....
4 0
3 years ago
Determine the number of possible triangles, ABC, that can be formed given angle A = 30°, a = 4, and b = 6.
Sophie [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

using Sine Law,

\frac{sinA}{a}=\frac{sinB}{b}

\frac{sin30}{4}=\frac{sinB}{6}

sinB=0.75

angle B = 48.6

Another angle will be

angle B' = 180-48.6 = 131.4

considering angle B, angle C = 180 - (48.6+30)=101.4

considering angle B', angle C' = 180-(131.4+30)=18.6

\frac{sinA}{a}=\frac{sinC}{c}

\frac{sin30}{4}=\frac{sin101.4}{c}

c = 7.84

Similarly, finding c'

\frac{sinA}{a}=\frac{sinC'}{c'}

\frac{sin30}{4}=\frac{sin18.6}{c'}

c'=2.55

Hence two triangles are possible with below details:  :   Answer

A = 30, B = 48.6, C = 101.4, c = 7.84

A = 30, B' = 131.4, C' = 18.6, c' = 2.55

Hope it will help :)

5 0
3 years ago
In another baseball division, one team had a winning percentage of 0.444 repeating What fraction of their games did this team wi
UkoKoshka [18]

Answer:

x = \frac{4}{9}

Step-by-step explanation:

Given

Winning Percentage = 0.444 repeating

Required

Represent as a fraction

Represent the percentage with x

x = 0.444

Convert to fraction

x = \frac{444}{1000}

Next step, is to convert to fraction repeating

To do this, we simply subtract 1 from the denominator

x = \frac{444}{1000 - 1}

x = \frac{444}{999}

Simplify to the lowest term: Divide numerator and denominator by 37

x = \frac{444/37}{999/37}

x = \frac{12}{27}

Simplify to the lowest term: Divide numerator and denominator by 3

x = \frac{12/3}{27/3}

x = \frac{4}{9}

Hence;

There winning fraction is \frac{4}{9}

8 0
2 years ago
The radius of the circle - shaped poster is 9 inches. What is the approximate circumference?
statuscvo [17]

Answer: 56.55inch

Step-by-step explanation:

Circumference formula: C = 2\pi r

C = 2(3.1416)(9inch)

C= 56.55inch

5 0
3 years ago
What is the surface are of the triangle prism
stepladder [879]
You can find the area of a triangular prism by putting it into a bet and finding the area of all sides then adding them together
5 0
3 years ago
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