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3 years ago

Which expression is equivalent to (1-sin^2x)(sec x)

1 answer:

8 0

(1-sin²x)(sec x)

(1-sin²x) = cos²x (since sin²x +cos²x = 1)

(sec x) = 1/cosx

(cos²x) . (1/cosx) ==>(cos²x)/cosx) ==> ===> cosx

You might be interested in

The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Define your variable and write an equati

Alenkasestr [34]

8x+6=54
    -6   -6
    8x=48
8x /8=48/8
      x=6 the bracelets were $6 a piece

5 0

3 years ago

Read 2 more answers

Solve for x. 7 + 11x + 60 = -13 + 3x

Snowcat [4.5K]

Answer:

x = -10

Step-by-step explanation:

Step 1: Write equation

7 + 11x + 60 = -13 + 3x

Step 2: Solve for x

Combine like terms: 11x + 67 = -13 + 3x
Subtract 3x on both sides: 8x + 67 = -13
Subtract 67 on both sides: 8x = -80
Divide both sides by 8: x = -10

Step 3: Check

Plug in x to verify it's a solution.

7 + 11(-10) + 60 = -13 + 3(-10)

67 - 110 = -13 - 30

-43 = -43

6 0

3 years ago

Write as an improper fraction 8 1/2 (Simplify your answer.)

liq [111]

Answer:

$\frac{17}{2}$

Step-by-step explanation:

To convert a mixed fraction to a improper fraction, you have to multiply the denominator (2) by the whole number (8). 8 multiplied by 2 is 16. Then add the numerator (1). 16+1=17. That becomes your numerator, the denominator (2) stays the same.

I hope this helps!

3 0

3 years ago

The waverly company issued 4,000 shares of common stock worth 200,000.00 total. What is the par value of each share?

yuradex [85]

The value per share is 50 per share.

In order to find this, you take the total value of the stock and then divide by the number of shares.

200,000/4,000 = 50.

Therefore, it is 50 per share.

3 0

3 years ago

To use an automated teller machine at a certain bank, you must enter a 3-digit code, using the digits 1 dash 9. How many 3-d

3241004551 [841]

Answer:

729 , 3- digit codes are possible

Step-by-step explanation:

To use an automated teller machine at a certain bank, you must enter a 3-digit code, using the digits 1 dash 9.

We need a 3 digit code using digits 1 to 9

so total of 9 digits are used

also repetition of digits are permitted

In a 3 digit code, first digit can be any number from 0 to 9

so 9 possible numbers for first digit.

since repetition is allowed so second and third digit also have any number between 0 to 9

3 digit code

------ , ------- , --------

9 possibilities for each place

---9--- , ----9--- , ----9----

9 *9 *9 = 729

so 729 , 3- digit codes are possible

6 0

3 years ago