Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
The minimum number of shirt they will sell to make the given profit is 192 shirts
<h3>Inequality expression</h3>
Inequalities are equations not separated by an equal sign.
If a cheerleading team plans to sell t-shirts as a fundraiser and the teams goal is to make profit of at least $1248 with each t-shirt sold at $6.50, then the equation required is;
6.50t ≥ 1246
Divide both sides by 6.50
6.50t/6.50 ≥1246/6.5
t ≥ 192
Hence the minimum number of shirt they will sell to make the given profit is 192 shirts
Learn more on inequality here: brainly.com/question/11613554
#SPJ1
C) $694.25
Why?
Because you want to times the interest by 2 (1 is for one year but u want to find the amount after two years) then you multiply the amount given to each bank separately so:
400*0.07 (7% which is 7/100) = 28
250*0.065 (6.5% which is 65/1000) = 16.25
Then u add the interests together:
28+16.25 = 44.25
Finally you add that to the amount you started with:
$650+$44.25= $694.25
Answer:
60
Step-by-step explanation:
To find the range, you subtract the largest number and the smallest number.
Largest number: 80
Smallest number: 20
80-20=60