Answer:
sin(x) and cos(y) are equal and have ratio of 1 : 1
First find the missing hypotenuse using Pythagoras theorem:
a² + b² = c²
12² + 5² = c²
c = √144+25
c = 13
using sine rule:


using cosine rule:


-0.4x=2.5 divide both sides by -0.4
x=-6.25
Answer:
21, 144, 12
Step-by-step explanation:
Given that a sample of 30 distance scores measured in yards has a mean of 7, a variance of 16, and a standard deviation of 4.
Let X be the distance in yard.
i.e. each entry of x is multiplied by 3.
New mean variance std devition would be
E(3x) = 
Var (3x) = 
Std dev (3x) = 
Thus we find mean and std devition get multiplied by 3, variance is multiplied by 9
Answer:
112 hours and 50 mins
Step-by-step explanation:
Numbers of mins worked in a day = 7×60+30 =450 mins
Now number of mins worked in 15 days = 450×15
= 6750 mins
to convert mins into hours divide by 60
6750÷60 = 112.50
that means total number of hours worked in 15 days = 112 hours and 50 mins