Hello.
e is a mathematical constant, and it's like pi, it's irrational. It's approximately equal to 2.71828....
So,
It's approximately equal to 4.5 which is choice
2.
Answer:
Angle 1, 2, 4 = 45 degrees
Step-by-step explanation:
2x+15 = x+30
-15 both sides
2x = x+15
-x both sides
x = 15
Plug x = 15 into x+30 or 2x+15
15+30 = 45
2(15)+15 = 45
The line is vertical, so the slope is infinite
Step-by-step explanation:
Given two points with coordinates
and
, the slope of the line passing through the two points is given by the equation

In this problem, the coordinates of the two points are:

and

which means:

Substituting all these values into the equation of m, we find the slope of the line:

The slope is infinite: this is because the line is vertical.
Learn more about slope of a line:
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Answer:
adult $8.00
child $5.50
Step-by-step explanation:
Let the price of 1 adult ticket = x.
Let the price of 1 child ticket = y.
2x + 4y = 38
3x + 3y = 40.5
Multiply the first equation by 3. Multiply the second equation by -2. Then add them.
6x + 12y = 114
(+) -6x - 6y = -81
-----------------------------
6y = 33
y = 33/6
y = 5.5
2x + 4y = 38
2x + 4(5.5) = 38
2x + 22 = 38
2x = 16
x = 8
Answer:
adult $8.00
child $5.50
Answer:
Answers are below in bold
Step-by-step explanation:
1) A = 1/2bh Use this equation to find the area of each triangular base
A = 1/2(8)(6) Multiply
A = 1/2(48) Multiply
A = 12cm² Area of each triangular base
2) A = L x W Use this equation to find the area of the bottom rectangular face
A = 20 x 8 Multiply
A = 160 cm² Area of the bottom rectangular face
3) A = L x W Use this equation to find the area of the back rectangular face
A = 20 x 6 Multiply
A = 120 cm² Area of the back rectangular face
4) A = L x W Use this equation to find the area of the sloped rectangular face
A = 20 x 10 Multiply
A = 200 cm² Area of the sloped rectangular face
5) To find the total surface area of the triangular prism, add together all of the numbers.
A = 12 + 12 + 160 + 120 + 200 Add
A = 504 cm² Total area of the triangular prism