Step-by-step explanation:
Number 3
cos∅ = adj/hyp
cos35° = 20/x
x = 20/cos35°
x = 20/0.8192
x = 24.4155
x ≈ 24.4 to the nearest tenth
Option C
Number 6
tan∅ = opp/adj
tan37° = 20/x
x = 20/tan37°
x = 20/0.7536
x = 26.5409
x ≈ 26.5 to the nearest tenth
Option B
Answer: 0.6812
Step-by-step explanation:
Let p be the population proportion of trees are infested by a bark beetle.
As per given: p= 12%= 0.12
Sample size : n= 1000
Number of trees affected in sample = 1000
Sample proportion of trees are infested by a bark beetle. = 
Now, the z-test statistic : 
So, 

Hence, the value of the z-test statistic = 0.6812 .
Answer:
tan(α) = 89.468
Step-by-step explanation:
90 - 0.532
Given:
A sum of money is divided between A,B and C in the ratio 9:8:7.
Total sum is 480.
To find:
The part of money A get.
Solution:
Let A, B and C get 9x, 8x and 7x respectively.
Total sum is 480.


Divide both sides by 24.


Now,



Therefore, amount received by A is 180.