Answer:
x=4.5
Step-by-step explanation:
Using sohcahtoa we know tangent is equal to (length of side opposite to the angle ) / (lenth of side adjacent to the angle)
therefore: tan (theta) = (x-3) / (x) = 1 / 3
now cross multiply
3(x-3) = x
now solve for x
3x - 9 = x
-9= -2x
x= 4.5
Answer:
<em>(-2, -6)</em>
Step-by-step explanation:
Given the simultaneous equation
3x-y=0 ... 1
2x+y=-10 ... 2
Add both equations to eliminate y
3x + 2x = 0 - 10
5x = -10
x = -10/5
x = -2
Substitute x = -2 into 1
3(-2)- y = 0
-6 - y = 0
-y = 0+ 6
-y = 6
y = -6
<em>Hence the coordinate (x, y) is (-2, -6)</em>
Answer:
8/mile = 8
Step-by-step explanation:
convert hours to minutes. 3 hours, 28 minutes converted to minutes is...
3*60 (60 minutes in an hour)
=180
180+28 (don't forget to add what was already converted to minutes!)
=208
208/26 (divide time by distance ran)
=8 (8 minutes per mile)