Answer:
The area of each figure is:
- <u>Area of the rectangle = 10 square units.</u>
- <u>Area of the triangle = 10 square units.</u>
- <u>Area of the figure = 20 square units.</u>
Step-by-step explanation:
To find the area of that figure, first, we're gonna find the area of the rectangle and next the area of the triangle, to make this we need to identify the measurement of each one, the rectangle has 2 units wide and 5 units high, then, we use the next formula:
- Area of a rectangle = width * height
- Area of a rectangle = 2 units * 5 units
- <u>Area of a rectangle = 10 square units</u>
Now, we identify the measurements of the triangle (base = 4 units, height = 5 units) and we use the formula:
- Area of a triangle = (base * height) / 2
- Area of a triangle = (4 units * 5 units) / 2
- Area of a triangle = (20 square units / 2
- <u>Area of a triangle = 10 square units</u>
And we obtain the area of the whole figure when we add the two areas:
- Area of the figure = area of the triangle + area of the rectangle
- Area of the figure = 10 square units + 10 square units
- <u>Area of the figure = 20 square units</u>.
As you can see, <u><em>the area of the picture is 20 square units</em></u>.
This is an example of a quadratic equation.
Whenever you see that the variable x is raised to the second power, you have a quadratic equation. The graph of this will look like the letter U and be called a parabola.
Answer: The number pi is an irrational number
Step-by-step explanation:
Pi is irrational because it will never end and at the same time doesnt have a pattern in which the numbers repeat. Here are some of the numbers in pi 3.14159265359
Answer:
youngest 17
middle 19
oldest 21
Step-by-step explanation:
Three sisters have ages that are consecutive odd integers
youngest = x
middle = x + 2
oldest = x + 4
--------------------
The sum of the age of the youngest
x
and three times the age of the oldest
+ 3(x + 4)
is five less than five times the middle sister’s age
= 5(x + 2) - 5
-----------------------
x + 3(x + 4) = 5(x + 2) - 5
Distribute
x + 3x + 12 = 5x + 10 - 5
Combine like terms
4x + 12 = 5x - 5
Subtract 4x from both sides
12 = x - 5
Add 5 to both sides
17 = x
youngest x = 17
middle x + 2 = 19
oldest x + 4 = 21
