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Lemur [1.5K]
2 years ago
13

Which function has the given properties below? The domain is the set of all real numbers. One x-intercept is (2 pi, 0). The ampl

itude is 4. The point (StartFraction pi over 2 EndFraction, negative 4 EndFraction) is on the graph. The y-intercept is (0, 0). Y = –4sin(x) y = –4cos(x) y = 4sin(x) y = 4cos(x).
Mathematics
1 answer:
Tomtit [17]2 years ago
3 0

The functions y = -4sin (x) and y = 4sin (x) has the given properties.Functions help to define the relationship between the independent and the dependent variable.

<h3>What is function?</h3>

A expressions defining a connection between the independent variable and dependent variable is known as the functions.

A feature that:

The domain is defined as the set of all real numbers.

a single x-intercept

The amplitude is four.

The y-intercept is defined as (0,0)

Because the specified function goes through the functions having "cosine," the functions containing "cosine" can be omitted from the selections (0,0). As a result, we have two options:

Hence  y = -4sin (x) and y = 4sin (x) has the given properties.

To learn more about the function refer to the link;

brainly.com/question/5245372

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Mary
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Answer:

$45

Step-by-step explanation:

(25*1)+(4*5)=

25+20=

45

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2 years ago
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In triangle ABC we have angle C = 3 times angle A, a=27 and c=48 What is b? Note: a is the side length opposite A etc. please he
Dima020 [189]

Answer:

  35

Step-by-step explanation:

The law of sines tells us ...

  sin(C)/c = sin(A)/a

  a·sin(3A) = c·sin(A)

Using the identity sin(3x) = 3cos(x)·sin(x) -sin(x)^3 and sin(x)^2 +cos(x)^2 = 1, we can simplify this to ...

  sin(A)(4cos(A)^2 -1) = (c/a)sin(A)

  4cos(A)^2 = c/a +1 = (48+27)/27 = 75/27 = 25/9

  cos(A)^2 = 25/36

  cos(A) = 5/6

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Now, the angle B will be the difference between 180° and the sum of the other two angles:

  B = 180° -A -3A = 180° -4A

Using appropriate trig identities, we can write ...

  sin(B) = 4cos(A)^3sin(A) -4sin(A)^3cos(A)

  = 4sin(A)cos(A)(cos(A)^2 -sin(A)^2)

  = 4sin(A)cos(A)(2cos(A)^2 -1)

Filling in our value for cos(A), this becomes ...

  sin(B) = 4sin(A)(5/6)(2(5/6)^2-1) = sin(A)(35/27)

__

The law of sines tells us ...

  b/sin(B) = a/sin(A)

  b = a·sin(B)/sin(A) = 27(35/27)sin(A)/sin(A) = 35

The length of side b is 35 units.

6 0
3 years ago
Find the greatest common factor (GCF) of 14, 16, and<br> 10.<br><br> 2<br><br> 7<br><br> 8<br><br> 1
vagabundo [1.1K]

Answer:

the greatest common factor is 2

Step-by-step explanation:

none of the other numbers listed can go into 10, 14, and 16.

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2 years ago
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A sled is being pulled with a force of 120 N at an angle of 35o with the horizontal. How far is the sled pulled if 1100 J of wor
natta225 [31]

Answer:11.2 m

Step-by-step explanation:

Given

Force Applied F=120 N

inclination \theta =35^{\circ}

Force has two components here i.e. F\cos \theta and F\sin \theta

F\cos \theta will will do work

Work done is given by force time displacement

W=120\cdot \cos 35\times s

1100=120\times \cos 35\times s

s=11.19\approx 11.2 m

7 0
3 years ago
374 exceeds three times a number by 74
Assoli18 [71]
374>3x+74\\374=74>3x\\300>3x\ /:3\\100>x\\Ans.\ x
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