Answer:
see below
Step-by-step explanation:
sin x 1
------------------- = -----------
sec^2 x - tan ^2 x csc x
Sec = 1/cos and tan = sin/cos
sin x 1
------------------- = -----------
1/ cos ^2 x -sin^2/cos ^2 x csc x
Factor the denominator
sin x 1
------------------- = -----------
(1-sin^2 x)/ cos ^2 x csc x
We know that 1 - sin^2 x = cos ^2
sin x 1
------------------- = -----------
(cos^2 x)/ cos ^2 x csc x
sin x 1
------------------- = -----------
1 csc x
Multiply the top and bottom of the left hand side by 1/ sin x
sin x * 1/ sin x 1
------------------- = -----------
1 * 1 sin x csc x
1 1
------------------- = -----------
1 sin x csc x
We know that 1/sin x = csc
1 1
--------- = -----------
csc (x) csc x
Answer:
1) The discount is $4.05
The sale price is $18.45
2) The discount is $10
The sale price is $30
3) The discount is $2.6
The sale price is $23.4
Step-by-step explanation:
1) What is the discount and sale price for a haircut that originally cost $22.50 with an 18% discount.
Actual Price= $22.50
Discount = 18%
Finding discount:
So, the discount is $4.05
Finding Sale Price
The sale price can be found by: 
Putting values and finding sale price:
The sale price is $18.45
2) What is the discount and sale price for a sweatshirt that originally priced $40.00 with an 25% discount.
Actual Price= $40.00
Discount = 25%
Finding discount:
So, the discount is $10
Finding Sale Price
The sale price can be found by:
Putting values and finding sale price:
The sale price is $30
2) What is the discount and sale price for a large pizza that originally cost $26.00 with an 10% discount.
Actual Price= $26.00
Discount = 10%
Finding discount:
So, the discount is $2.6
Finding Sale Price
The sale price can be found by:
Putting values and finding sale price:
The sale price is $23.4
Answer:
31/8
Step-by-step explanation:
3/1/4 - (-5/8)
13/4 + 5/8
find Lcm of 4 and 8 = 8
multiply their common factors with numerators.
13*2 + 5*1 = 31
=31/8 or 3/7/8 or 3.875
<h3>
Answer: 3 x 10^6</h3>
This is the number 3,000,000 aka 3 million
=======================================================
To find this answer, we divide the two values (large/small)
(9 x 10^12)/(3 x 10^6)
(9/3) x 10^(12-6)
3 x 10^6
We divided the stuff out front like normal (9/3 turns into 3) and we subtract the exponents when dividing the 10^12 over 10^6. The general rule is that
(a^b)/(a^c) = a^(b-c)
The result 3 x 10^6 is in scientific notation. It represents the number 3,000,000 aka 3 million. While 9 x 10^12 represents 9,000,000,000,000 which is the number 9 trillion.
