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°
This is the answer hope i helped
Answer:
P(2 red in 5 offspring) = 26.4%
P(no more than 2 red flowers) = 65.9%
Step-by-step explanation:
P(red) = 25%
P(white) = 75%
P(2 red in 5 offspring) = 5C2 P(red)*P(red)*P(white)*P(white)*P(white)
= 10 * 0.25 * 0.25 * 0.75 * 0.75 * 0.75 = 26.4%
P(no more than 2 red flowers) = P(1 red in 5 offspring) + P(2 red in 5 offspring)
= 5C1 P(red)*P(white)^4 + 0.2637
= 5 * 0.25 * 0.75* 0.75 * 0.75 * 0.75 + 0.2637
= 0.6592 = 65.9%
Answer:
262
Step-by-step explanation:
From the Question, we know that:
In a certain town there were 403 robberies last year. This year the number of robberies has gone down 35%.
Step 1
Find the amount decreased
35% × 403
= 35/100 × 403
= 141.05
Step 2
The amount of robberies this year is:
= 403 - 141.05
= 261.95
Approximately to the nearest whole number = 262
