Answer:
Length = 11.25 and width = 3.75 inches.
Step-by-step explanation:
You must mean that the length is 3 times its width.
If the the width is x then the length is 3x inches.
Perimeter = 2*length + 2*width.
2(3x) + 2x = 30
6x + 2x = 30
8x = 30
x = 3.75.
3x = 11.25.
Answer:
Cartesian Coordinate System
• Also called
rectangular coordinate
system
• x- and y- axes intersect
at the origin
• Points are labeled (x,y)
Polar Coordinate System
– Origin and reference
line are noted
– Point is distance r from
the origin in the
direction of angle θ,
ccw from reference
line
– Points are labeled (r,θ)
Cartesian to Polar Coordinates
• r is the hypotenuse and θ
an angle
θ must be ccw from
positive x axis for these
equations to be vali
Step-by-step explanation:
Answer: m = -5/8
Step-by-step explanation:
The general equation for slope is rise over run, also known as:
m=(y2-y1)/(x2-x1)
From the points (x, y), we can get all the variables we need.
(-1, -7) gives us x1 = -1 and y1 = -7
(-9, -2) gives us x2 = -9 and y2 = -2
If we plug all the values in, we get:
m = (-2 - (-7))/(-9 - (-1))
m = (-2 + 7)/(-9 + 1) the negatives cancel
m = (5)/(-8)
m = -5/8
There are about 1241.4 miles of coast line in New Hampshire
To answer this problem, you should know the formula that we will be using and this would be:
Angle of elevation = arc tan( (vertical height)/(length of the shadow)).
Plugging in the values in the formula. Here, this angle is:
arc tan (12.5/18) = <span>34.78 degrees</span>
The answer would be approximately 34.78 degrees
