Answer:
x = 11.74739484
Step-by-step explanation:
To solve this problem, you can use trig functions. We are given an angle and the side next to it, and we are looking for the side opposite it. The perfect trig function to use for this would be tangent:
tan(θ) = opposite / adjacent
We can substitute the values we already have:
tan(40) = x / 14
x = 14 * tan(40)
We can evaluate this using a calculator and get:
x = 11.74739484
Answer:
24, 48, 72, 96, 120
Step-by-step explanation:
I can keep going on but i learned to just put at least 5 and if the person needs more then just give them ten more
Answer:
Step-by-step explanation:∠ MON= -45°→→ angle lies in fourth quadrant.
Where, MN represents the path of rock, which is a straight line.
Taking the Horizontal and vertical component of OM,to get the coordinate of point M
The coordinate of point M will be [1.25 cos (-45°), 1.25 sin(-45°)]=
Taking O as center and Coordinates of O as (0,0) and Coordinates of M as () we get the equation of line OM as
y= tan (315°)× x
As general form of equation of line passing through the origin will be,
y= m x, where m is angle made by line with positive direction of x axis.
m= (360-45)°= 315°
→→y=-x
→→ y + x=0
equation of line perpendicular to OM will be
→→ x - y + k=0
Since it passes through .
→→
So, equation of initial path of stone will be:
School 1:
16 boys
Boys: Girls = 1:2
Girls= Boys x2
Girls = 32
Total students= girls + boys = 16 + 32 = 48
All 5 schools sent the same number of students
48 x 5 = 240
Answer = 240
Divide by 11 to make z by itself
z = 4/11
