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Deffense [45]
3 years ago
10

Which of the following cosine functions has a period of 3 π ?

Mathematics
2 answers:
Alinara [238K]3 years ago
7 0

Answer:

c. y= cos2/3x

Step-by-step explanation:

grin007 [14]3 years ago
5 0

ANSWER

C.

y =  \:  \cos( \frac{2}{3}x )

EXPLANATION

The period of a cosine function is calculated using the formula;

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

Therefore , if the period is 3π, then

\frac{2 \pi}{b}  = 3\pi

We solve b to obtain,

b =  \frac{2}{3}

This implies that, the given cosine function must have an equation of the form

y = a \:  \cos( \frac{2}{3}x )

Among the options, the function in this form is:

y =  \:  \cos( \frac{2}{3}x )

The correct choice is C.

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If he drank 80% of his water on his entire hike, how much did he drink? Explain and show your reasoning with a model.
qwelly [4]
Can you please be more specific? He drank 4/5 of the bottle and if the bottle is a 2 liter bottle, he drank 1.6
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3 years ago
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Meg lives in Indianapolis and wants to visit her mom in Lima. She has been meaning to go to a chiropractor in Dayton, so she is
ella [17]

Answer: 44 miles

WORKINGS

Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown

Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.

The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL

Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles

Therefore, The distance between Dayton and Lima, DL = 52 miles

The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.

That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles

Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
7 0
2 years ago
ΔABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C?
kotykmax [81]

Answer:

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

Step-by-step explanation:

To find the cos (C) we must use the cosine theorem.

The cosine theorem says that:

c^2 = a^2 +b^2 -2abcos(C)

In this case:

c=AB = 9

b=CA = 41

a=BC = 40

So

9^2 = 40^2 +41^2 -2(40)*(41)cos(C)

9^2- 40^2- 41^2 =-2(40)*(41)cos(C)

cos(C) = -\frac{9^2- 40^2- 41^2}{2(40)*(41)}

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

7 0
3 years ago
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kakasveta [241]
It is A. ....... i wish you had a whole chart

8 0
2 years ago
PLEASE HELP FAST 30 POINTS PLUS BRAINLIST ONLY ANSWER IF YOU KNOW
Katen [24]
ANSWER: 2327.04

EXPLANATION:

I’m assuming this is Reverse Pythagorean Theorem, so the equation would be c^2 - a^2 = b^2, so all you have to do it substitute the variables and solve. The length of the cable is variable c, the height of the tower is variable a, and the length of where is the cable is anchored and the base of the tower is variable b. That might not make any sense but feel free to ask any questions. :)
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