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marta [7]
3 years ago
13

Let the function f(x) have the form f(x) = Acos(x-C). To produce a graph that

Mathematics
2 answers:
Gala2k [10]3 years ago
6 0

Answer:

A has to be 2

Step-by-step explanation:

In the expression f(x)=A*cos(x-C), the multiplicative factor A represents what is called the "amplitude of the wave-shaped function that you obtain as the graph. Such amplitude is understood as half of the crest-to-through distance of the wavy curve.

From the drawing, the crest is at y=2 and the through at y=-2 (a distance of 4 units) therefore the value of A should be half of that distance: 4/2 = 2

Mrac [35]3 years ago
3 0

Answer: 2

Step-by-step explanation:

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The side of an Equileteral triangle is 12cm. What is its Area?
elena55 [62]

Answer:

A = 62.35 cm²

Step-by-step explanation:

Use the area formula A = \frac{\sqrt{3}a^2}{4}, where a is the side length.

Plug in the values:

A = \frac{\sqrt{3}(12^2)}{4}

A = \frac{\sqrt{3}(144)}{4}

A = 62.35 cm²

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4 years ago
WILL BRAINLIST<br> Given the points (-4, 6) and (1, -2) find the slope.
Leona [35]

Answer:

-8/5

Step-by-step explanation:

y values minus each other over x values minus each other

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3 years ago
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What number decreased by 5% of itself equals 703?
max2010maxim [7]
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2 years ago
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Vic is standing on the ground at a point directly south of the base of the CN Tower and can see the top when looking at an angle
Sindrei [870]

The angle of elevation of 61° and 72° with the height of the tower being 553.3 m. gives Vic's distance from Dan as approximately 356 meters.

<h3>How can the distance between Vic and Dan be calculated?</h3>

Location of Vic relative to the tower = South

Vic's sight angle of elevation to the top of the tower = 61°

Dan's location with respect to the tower = West

Dan's angle of elevation in order to see the top of the tower = 72°

Height of the tower = 553.3m

tan( \theta) =  \frac{opposite}{adjacent}

tan( 61 ^{ \circ}) =  \frac{553.3}{ Vic' s\: distance \: to \: tower}

distance  =  \frac{553.3}{tan ( {61}^{ \circ} )}  = 306.7

  • Vic's distance from the tower ≈ 306.7 m

Similarly, we have;

Dan's distance  =  \frac{553.3}{tan ( {72}^{ \circ} )}  = 179.8

  • Dan's distance from the tower ≈ 179.8 m

Given that Vic and Dan are at right angles relative to the tower (Vic is on the south of the tower while Dan is at the west), by Pythagorean theorem, the distance between Vic and Dan <em>d </em>is found as follows;

  • d = √(306.7² + 179.8²) ≈ 356

Therefore;

  • Vic is approximately 356 meters from Dan

Learn more about Pythagorean theorem here:

brainly.com/question/343682

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4 0
2 years ago
After deducting 10% provident fund a married person draws Rs 40,500 salary per month and one month's salary as festival bonus, t
olasank [31]

The  annual income tax paid by the person is: $4,500.

<h3>Annual income tax</h3>

Using this formula

Annual income tax=[Salary÷(1-percentage deduction)]- Salary

Let plug in the formula

Annual income tax=[40,500÷(1-10%)]-40,500

Annual income tax=45,000-40,500

Annual income tax=4500

Therefore the  annual income tax paid by the person is: $4,500.

Learn more about annual income tax here:brainly.com/question/26316390

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6 0
2 years ago
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