Answer:
Width = 9
Step-by-step explanation:
According to the problem...
3x = length
x = width
2(3x + x) = 72
3x+x = 36
4x = 36
x = 9 = width
Hope that helped!!! k
Answer:
Area of equilateral triangle = 81√3 cm²
Step-by-step explanation:
Given:
Perimeter of an equilateral triangle = 54 cm
Find:
Area of equilateral triangle
Computation:
Perimeter of an equilateral triangle = 3 x Side
54 = 3 x Side
Side of equilateral triangle = 54 / 3
Side of equilateral triangle = 18 cm
Area of equilateral triangle = [√3/4]side²
Area of equilateral triangle = [√3/4][18]²
Area of equilateral triangle = [√3/4][324]
Area of equilateral triangle = [√3][81]
Area of equilateral triangle = 81√3 cm²
If you were to graph y=x it would look like if you took the x axis and rotated it 45 degrees counterclockwise with the center of rotation on the origin
basically, it switches x and y
a reflection is like a miror
a reflection across y=x in equation would be
y=3x^2+5x-2 reflected across the y=x axis (aka the identity line) would be
x=3y^2+5y-2
Answer:
Cost of the binder = $5
Cost of the highlighter = $2.5
Cost of the folder = $2
Step-by-step explanation:
Let
Cost of the binder = x
Cost of the highlighter = 1/2x
Cost of the folder = x - 3
Total cost = $9.50
Total cost = Cost of the binder + Cost of the highlighter + Cost of the folder
9.50 = (x) + (1/2x) + (x-3)
9.50 = x + 1/2x + x - 3
9.50 + 3 = x + 1/2x + x
12.50 = 2x + 1/2x
12.50 = 2 1/2x
12.50 = 5/2x
x = 12.50 ÷ 5/2
= 12.50 × 2/5
= 25/5
x = $5
Cost of the binder = x = $5
Cost of the highlighter = 1/2x = 1/2*6 = $2.5
Cost of the folder = x - 3
= 5 - 3 = $2
Answer:
(a) the probability of these events occurring if the DOT's claim is true is given by;
probability=number of required outcome/number of possible outcome.
therefore the probability is given as .
(b) No the probability computed can be consistent with the DOT's claim that the selection was random because since it is a random probability they all have equal chances of being selected.
Step-by-step explanation:
number of required outcome: this is the number that is being targeted or selected.
number of possible outcome: this is the total number of outcome that is possible from the given sample or population.