Answer: Length = 40 inches
Width = 20 inches
Step-by-step explanation:
Let the width of the package be represented by x.
Since the length of the package must be twice its width, therefore the length will be: = 2 × x = 2x
Since the sum of the dimensions equals 60 inches. This will then be:
x + 2x = 60.
3x = 60
x = 60/3
x = 20
Therefore, the width = 20 inches
Length = 2x = 2 × 20 = 40 inches
The dimensions should be 40 by 20 inches.
Answer:
10.4feet
Step-by-step explanation:
The set up wil form a right triangle
Length of the ramp is the hypotenuse
The length of the end of the ramp from the base= 10 feet (adjacent)
Angle of elevation = 15 degrees
Required
Length of the ramp
Using SOH CAH TOA
Cos theta = adj/hyp
cos 15 = 10/L
L = 10/cos15
L = 10/0.9659
L = 10.35
L ≈ 10.4 feet
Hence the length of the ramp is 10.4feet
A= 35° because 180°-80°-65°= 35°
b=50° because 180°-95°-35°= 50°
c=85° because 180°-95°= 85°
d=30° because 180°-65°-85°= 30°
For these you just have to remember that the sum of the angles of a triangle is 180°, and the same for a straight line.
I don't think two points is enough to determine a unique ellipse. In fact,
I'm sure of that. If you only have two point, then an infinite number of different
ellipses can be drawn through them. I know it takes three points to determine
a circle, and I'm sure you need at least that many for an ellipse.
