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Mars2501 [29]
3 years ago
8

Given that sine= 21/29, what is the value of cos 0, for 0° <0<90°? A -square root of 20/29 B -20/29 C 20/29 D square root

of 20/29
Mathematics
2 answers:
Allushta [10]3 years ago
8 0

Answer:

C

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1 ⇒ cosx = ± \sqrt{1-sin^2x}

Given

sinx = \frac{21}{29}, then

cosx = \sqrt{1-(\frac{21}{29})^2 } ( positive since 0 < x < 90 )

       = \sqrt{1-\frac{441}{841} }

       = \sqrt{\frac{400}{841} } = \frac{20}{29}

Stolb23 [73]3 years ago
4 0

Answer:

Step-by-step explanation:

sin=y/r

cos=x/r

sin=21/29

cos=x/29

x^2+y^2=r^2

x^2+21^2=29^2

x^2+441=841

x=sqrt(841-441)

x=20

cos=20/29

                       

  Only              |

   sin +             |     All Positive

---------------------|-------------------

           only      |    Only cos +

            tan +    |

                     

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The graph of F(x) , shown below, has the same shape as the graph of G(x) = x ^ 2 , but it is shifted up 4 units and to the right
Novosadov [1.4K]

Answer:

A

Step-by-step explanation:

To translate a graph right you -3 from x. To translate a graph up you +4.

4 0
3 years ago
A 180-watt iHome® is used on an average of three hours a day. Find the cost of listening to the iHome for one week at a cost of
IgorLugansk [536]
<h2>Hello!</h2>

The answer is:

The correct option is:

A. $0.49

<h2>Why?</h2>

From the statement, we know that the iHome is used on average three hours a day, and we are asked to find the cost for a week, so first, we need to calculate the total hours that the iHome is used for, and then, calculate the kilowatt-hour consumption rate.

TotalTime_{week}=3\frac{hours}{day} *7days=21hours

TotalEnergyConsumption_{week}=180watt*21hours=3780watt.hour

Now, we must remember that:

1Kilowatt=1000watts

So,

3780watts=3780watts.hour*\frac{1KiloWatt}{1000watts}=3.78KiloWatt.hour

Then, calculating the cost, we have:

TotalCost_{week}=0.13\frac{dollar}{killowat.hour}*3.78killowat.hour=0.49(dollar)

Hence, we have that the correct option is:

A. $0.49

Have a nice day!

7 0
3 years ago
What is the area of an octagon when the 8 sides are 5​
katrin [286]

Answer:

40cm² there you go

Step-by-step explanation:

Area =side×side so 8×5=40

6 0
3 years ago
If the sum of the measures of the interior angles of a polygon is 1920°, how many sides does it have?
gizmo_the_mogwai [7]

Answer:

<u>The regular polygon has 13 sides</u>

Correct statement and question:

If the sum of the measures of the interior angles of a polygon is 1980°, how many sides does it have?

Source:

1,920° is not a valid value for a regular polygon. It should be either 1,980° or 1,800° (it has to be a multiple of 180). We pick 1,980° to answer the question.

Step-by-step explanation:

Let's recall that the formula of the sum of the interior angles of any polygon is:

Sum of Interior Angles = (n-2) * 180°, where n is the number of sides of the polygon.

Therefore, replacing with the value we know:

1,980 = (n-2) * 180

n - 2 = 1,980/180

n - 2 = 11

<u>n = 13</u>

7 0
3 years ago
What is the range of the data set?<br> 45 93 60 72 15 45 81
lozanna [386]
The answer to your question is 60
7 0
3 years ago
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