5y=95
y=95/5(vertically opppsite angles)
5x=85
x=85/ 5(vertically opppsite angles)
It would be better to buy 12 bars for 10 dollars and the rate would be $1.2. The rate for 5 bars would be $1.25.
Sin^2x (sec^2x + csc^2x) = sec^2x
I would convert the functions in the parentheses to their reciprocals.
sin^2x (1/cos^2x + 1/sin^2x) = sec^2x
Now distribute the sine.
sin^2x/cos^2x + sin^2x/sin^2x = sec^2x
Remember that sine divided by cosine is always tangent.
tan^2x + sin^2x/sin^2x = sec^2x
The remaining fraction is simply 1.
tan^2x + 1 = sec^2x
Use the Pythagorean identity to add the left side.
sec^2x = sec^2x
Q.E.D.
Answer:
The sides are 3, 4, and 5
Step-by-step explanation:
Let one side be 'n', if the side lengths are consecutive integers, we have
n
n + 1
and
n + 2 are our side lengths. adding 1 to n gives us the next integer. Adding 2 to n gives use the second consecutive integer to n
The perimeter is 12, so our equation is..
n + (n + 1) + (n + 2) = 12
Now combine like terms and solve..
n + n + 1 + n + 2 = 12
3n + 3 = 12
3n = 9 (subtract 3 from both is sides)
n = 3 (divide by 3 on both sides)
Since n = 3,
n + 1 = 4 and
n + 2 = 5
So the sides are 3, 4, and 5
Answer:
d=(r)(2)
Step-by-step explanation:
diameter= radius times 2