Using the right triangle below find the cosine of angle A.

For the given triangle, the cosine of angle A equals .

Step-by-step explanation:

Step 1; In the given triangle, the opposite side has a length of 9 units, the adjacent side has a length of 3√3 units while the hypotenuse of the triangle measures 6√3 units. To calculate the cosine of angle A we divide the adjacent side by the hypotenuse side.

cos A = .

Step 2; Length of the adjacent side = 3√3 units.

Length of the hypotenuse side = 6√3 units.

cos A = 3√3 / 6√3

cos A = .

To check we also have A = 60° and cos 60° = .

Answers are

    50,000 - w > 26,000
and
    w < 24,000



gavin starts with 5.
if he withdraws w dollars, then the total amount in the account after withdrawl is given by the expression

    50,000 - w

the total amount in the account must be greater than 26000

    50,000 - w > 26,000
that is one of the answers.

if we solve this inequality, we can first subtract 5 from both sides

    -w > 26,000 - 50,000
    -w > -24,000

multiply both sides by -1 to get rid of the negative.
but we have to flip the inequality sign whenever we multiply/divide and inequality sign by a negative number

    w < 24,000