Step-by-step explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
Let's start with #12. The hypotenuse is 18. The side adjacent to ∠B is 6. Since we have the adjacent side and hypotenuse, we should use cosine.
cos B = 6/18
Solving for B:
B = cos⁻¹(6/18)
Using a calculator:
B ≈ 70.5°
Now let's do #14. The side adjacent to ∠B is 19, and the side opposite of ∠B is 22. Since we have the adjacent side and opposite side, we should use tangent.
tan B = 22/19
Solving for B:
B = tan⁻¹(22/19)
Using a calculator:
B ≈ 49.2°
Answer:
10/99
Step-by-step explanation:
40/396
40÷4/396÷4
10/99
(14 1/2)/(1 1/4) change both to improper fractions
(29/2)/(5/4) invert second function (or the denominator fraction) and multiply.
(29/2)*(4/5) multiply...
58/5 change improper fraction back to mixed fraction
11 3/5 or a decimal 11.6
Answer:
e
Step-by-step explanation:
it’s adding a number by itself the same as multiplying it by 2
