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Ray Of Light [21]
3 years ago
5

If sin theta = 4/5 and theta is in quadrant 2, the value of cot theta is

Mathematics
2 answers:
trasher [3.6K]3 years ago
8 0

Answer:

Cot(theta) = - 0.75 or -3/4

Step-by-step explanation:

The hypotenuse is 5

The y value is 4

We need to find the corresponding x value.

x^2 + y^2 = z^2

X = ?

y = 4

z = 5

x^2 + 4^2 = 5^2

x^2 + 16 = 25

x^2 = 9

Now in this case, you are in quadrant 2, so the x value is - 3

sqrt(x^2) = sqrt(9)

x = - 3

The cot value is the adjacent (x value) / the opposite ( y ) value

Cot(theta) = -3/4

cot(theta) = -0.75

xenn [34]3 years ago
4 0

Answer:

cotθ = -3/4

Step-by-step explanation:

<u>Given:</u>

sinθ = 4/5

θ is in Quadrant II, so cosθ < 0

<u>Recall:</u>

cotθ = cosθ/sinθ

cos²θ + sin²θ = 1

<u>Determine cosθ:</u>

cosθ = -√(1-sin²θ) = -√(1-(4/5)²) = -√(1-16/25) = -√(9/25) = -3/5

<u />

<u>Determine cotθ:</u>

cotθ = cosθ/sinθ = (-3/5)/(4/5) = (-3/5)(5/4) = -15/20 = -3/4

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Georgia [21]

Answer:

A

Step-by-step explanation: The answer is A

3 0
2 years ago
Sharon Bernstein rents an apartment for $1,110 a month. She has these annual expenses: electricity, $980; gas, $1,100; phone/cab
sweet-ann [11.9K]

Answer:

Annual expenses INCLUDING cost of annual rent: = $17,597

Annual expenses EXCLUDING cost of annual rent: = $4,277

Step-by-step explanation:

Annual expenses EXCLUDING cost of annual rent:

Electricity = $980

Gas = $1,100 Phone/cable/Internet = $2,100

Insurance = $45

Lost interest = $52

Total = $980 + $1,100 + $2,100 + $45 + $52

= $4,277

Annual expenses EXCLUDING cost of annual rent: = $4,277

Annual expenses INCLUDING cost of annual rent:

Rent = $1,110 per month

Annual rent = $1,110 per month × 12

= $13,320

Electricity = $980

Gas = $1,100 Phone/cable/Internet = $2,100

Insurance = $45

Lost interest = $52

Total = $13,320 + $980 + $1,100 + $2,100 + $45 + $52

= $17,597

Annual expenses INCLUDING cost of annual rent: = $17,597

5 0
3 years ago
A shopkeeper sold 12 bags on the first day. The number became four times
dybincka [34]

The total number of the bags sold by the shopkeeper will be 65532.

<h3>What is number series?</h3>

The sequence formed by using the numbers is termed as the number series.So in this question from day one to day seven each day the sold items are multiplied by 4.

So the mathematical expression will be given as:

=(12\times 4^0)+(12\times 4^1)+(12\times 4^2)+(12\times 4^3)+(12\times 4^4)+(12\times 4^5)+(12\times 4^6)

=12+48+192+768+3072+12288+49152\\\\=65532

Hence the total number of the bags sold by the shopkeeper will be 65532.

To know more about number series follow

brainly.com/question/6561461

#SPJ1

3 0
1 year ago
A runner ran 20 miles in 150 minutes. If she runs at that speed, how long would it take her to run 6 miles? How fast is she runn
Nataly_w [17]
First you do 150 divided by 20, which equals 7.5, so then you would do 7.5 times 6 and that equals 45 minutes. Hope that helped!
4 0
3 years ago
50 POINTS SOMEONE PLEASE HELP WHATS 2+2 <br> A.) 4<br><br> B.) 2<br><br> C.)5<br><br> D.) 1230
Semenov [28]

Answer:

2+2=4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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