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serious [3.7K]
3 years ago
12

Find the exact value of secθ if cscθ=-4/3 and the terminal side of θ lies in Quadrant III.

Mathematics
1 answer:
Anton [14]3 years ago
6 0
Quadrant is III so, sign would be negative for Sec.
Now, we know, csc = H / P
So, H = 4, P = 3
Calculate for B, 
B² = H² - P²
B² = 4² - 3²
B² = 16 - 9
B = √7

We know, sec Ф = H / B = 4 / √7
We can write it as: -4√7 / 7  [ -ve sign for 3rd quadrant ]

In short, Your Answer would be Option B

Hope this helps!
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Read 2 more answers
James has a bag 77 of nickels and dimes. The total value of coins is $6.60. How many dimes does James have?
tatuchka [14]

James has 55 dimes in the bag

Step-by-step explanation:

The given is:

  • James has in a bag 77 of nickels and dimes
  • The total value of coins is $6.60

We need to find how many dimes James has

Assume that the number of nickels is x and the number of

dimes is y in the bag

∵ There are x nickels in the bag

∵ There are y dimes in the bag

∵ There are 77 coins in the bag

∴ x + y = 77 ⇒ (1)

∵ 1 nickel = 5 cents

∴ The value of nickles in the bag = 5x cents

∵ 1 dime = 10 cents

∴ The value of dimes in the bag = 10y cents

∵ The total value of coins is $6.60

∵ 1 dollar = 100 cents

∴ $6.60 = 6.60 × 100 = 660 cents

∴ 5x + 10y = 660 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -770 ⇒ (3)

- Add equations (2) and (3)

∴ -5x = -110

- Divide both sides by -5

∴ x = 22

Substitute the value of x in equation (2) to find y

∵ 22 + y = 77

- Subtract 22 from both sides

∴ y = 55

∴ The number of dimes is 55

James has 55 dimes in the bag

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

6 0
3 years ago
لیست داده و
choli [55]

Given parameters:

Cost price of the article = Nu.28.30

Selling price of the article  = Nu.29.30

Unknown:

Gain percentage = ?

The gain percentage is the same as the percentage profit on a trade.

The formula is given as:

       Gain percentage  = \frac{Profit}{Cost price}  x 100

         Profit = Selling price  - Cost price

                   = Nu.29.30 - Nu.28.30  

                   = Nu. 1

Now input the parameters and solve;

            Gain percentage  = \frac{1}{28.3} x 100

                                          = 3.5%

The gain percent is  3.5%

3 0
3 years ago
What is the expression equivalent to xy ^ 2/9
DochEvi [55]

Answer:

hi someone help me too

Step-by-step explanation:

6 0
3 years ago
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