For each of these problems, remember SOH-CAH-TOA.
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.
6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.
7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.
8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.
Hope this helps!
3 because the x value has been repeated
Solution:
<u>Note that:</u>
- Men:Woman = 3:2
- 54 women = Total woman in a company
<u>3:2 can also be written as 3x:2x.</u>
- => Men:54 = 3x:2x
- => 54 = 2x
- => x = 27
- => Men = 3x
- => Men = 3(27) = 81
- => Total employees: 81 + 54
- => Total employees: 135
There are 135 employees in total.
Answer:
50 combos
Step-by-step explanation:
Put it into an equation first in order to find x.
2x + 250 = 7x
Subtract 2x from both sides.
250 = 5x
Then divide both sides by 5.
x = 50
Therefore you need 50 combo meals in order to make the amount made equal to the amount paid.
<u>You can check your work by plugging in the number to both.</u>
$250 plus the $2 times 50 combo meals.
250 + 2(50) = 350
$7 times 50 combo meals
7 x 300 = 350
The second and third functions both decrease with a slope of -4, but the second fiction has a y intercept of -3 and the third has a y intercept of +3. The first and fourth functions are both increasing with a slope of positive 4. The first one has a y intercept of -3, but the fourth has a y- intercept of -3. all of the functions are linear.
it helps to write all as equations
