Answer:
40, 60 and 80 degrees.
Step-by-step explanation:
Let the smallest angle be x degrees. Then:
The 3 angles are x, x + 40 and x + 20.
As there are 180 degrees in a triangle:
x + x + 40 + x + 20 = 180
3x = 180 -40--20 = 120
x = 40 degrees.
The other 2 angles are 60 and 80 degrees.
Answer:
it should be the same line, if they are completely equal in miles and cost
The answer I think you are looking for is 4,392.
91,761 - 87,369 = 4,392
Given Information:
Area of rectangle = 16 square feet
Required Information:
Least amount of material = ?
Answer:
x = 4 ft and y = 4 ft
Step-by-step explanation:
We know that a rectangle has area = xy and perimeter = 2x + 2y
We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.
So we have
xy = 16
y = 16/x
p = 2x + 2y
put the value of y into the equation of perimeter
p = 2x + 2(16/x)
p = 2x + 32/x
Take derivative with respect to x
d/dt (2x + 32/x)
2 - 32/x²
set the derivative equal to zero to minimize the perimeter
2 - 32/x² = 0
32/x² = 2
x² = 32/2
x² = 16
x =
ft
put the value of x into equation xy = 16
(4)y = 16
y = 16/4
y = 4 ft
So the dimensions are x = 4 ft and y = 4 ft in order to use least amount of material.
Verification:
xy = 16
4*4 = 16
16 = 16 (satisfied)
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