Answer:
d = 20.6 miles
Step-by-step explanation:
Given that,
Two sales representatives leave from the same office. One travels 20 miles due north and the other travels 5 miles due west.
It is required to find the distance between two representatives. It it is d. It can be calculated as the resultant if two values as follows :

So, the sales representative are 20.6 miles apart. Hence, the correct option is (c).
Answer:
x is 46.67
y is 28.4°
Step-by-step explanation:
To solve for x we use sine
sin ∅ = opposite / hypotenuse
AC is the opposite
x is the hypotenuse
so we have
sin 59° = 40 / x
x sin 59 = 40
Divide both sides by sin 59
x = 40/sin 59
x = 46.67
To solve for y we also use sine
sin y = 30/ 63
y = sin^-1(30/63)
y = 28.4°
Hope this helps you
Answer:
40
Step-by-step explanation:
Set up a proportion
Inch/ threads = inch to threads
.1/4 = 1/x Cross multiple
.1x = 4 Divide both sides by .1
x = 40
Answer:
∠B = 22°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, hence
120 + x + x + 16 = 180
2x + 136 = 180 ( subtract 136 from both sides )
2x = 44 ( divide both sides by 2 )
x = 22 = ∠B