Answer:
16.28 mph ; 79.38°
Step-by-step explanation:
Given the following :
Speed of child due east = 3mph
Speed of ship due North = 16mph
Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus
Relative Speed = Sqrt(3² + 16²)
Relative Speed = sqrt(9 + 256)
= sqrt(265)
= 16.2788 mph
= 16.28 mph
From trigonometry ;
Tanθ = opposite / Adjacent
Tanθ = (16 / 3)
Tanθ = 5.333
θ = tan^-1(5.333)
θ = 79.379°
θ = 79.38°
Answer:
5
Step-by-step explanation:
To solve a problem with negatives, we use the following rule.
If it is like
x+(-y), it is equivalent to x-y
If the equation is like
(-x)-(-y), it is equivalent to (-x)+y
So,
5+(-11)=5-11=-6
(-6)-(-11)=(-6)+11=5
Your answer is 5.
120+x+16+x=180
2x+ 136=180
2x=44
X= 22
<B= 22
1/3m +3 - 5/6m= -15
I am going to change the first fraction to match the second fraction
2/6m +3 - 5/6m= -15
Simplify by subtracting 5/6m from 2/6m
-3/6m +3 = -15
Subtract 3 from each side
-3/6m = -18
Take the minus signs off
3/6m = 18
Simplify
1/2m = 18
Divide by 1/2 on each side
m= 18 ÷ 1/2= 36
Option D, m is 36
Hope this helped
