Answer:
see explanation
Step-by-step explanation:
Using sum to product identities
cos x - cos y = - 2sin(
)sin(
) = 2sin( )sin(
)
cos x + cos y = 2cos( )cos( )
Note that
sin10° = sin(90 - 10)° = cos80°
Thus
← cancel 2 from numerator/ denominator
= 
× 
= tan45° × tan35° { tan45° = 1 ]
= 1 × tan35°
= tan35° ← as required
For this case we must complete squares:
We add the square of half the coefficient of the term "x",
on both sides of the equation:
According to the perfect square trinomial we have:
Rewriting the expression we have:
ANswer:
The Chevrolet will go farther
Because the Chevy has more gas and miles.
Answer:
The answer is 7/36.
Step-by-step explanation:
First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word <u>or</u> says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.
