Answer:
The area of the given polygon is:
Step-by-step explanation:
To find the area of the polygon in the picture, you can divide the polygon in three rectangles: a 3 cm by 14 cm, a 5 cm by 14 cm rectangle, and the last rectangle must have a base of 12 cm (20 cm - 3 cm - 5 cm), and a height of 10 cm (14 cm - 4 cm). We can calculate the area of the rectangles with the formula below:
- Area of a rectangle = Base * height
Now, we're gonna replace the measurements in the formula.
<em>First rectangle:</em>
- Area of a rectangle = 3 cm * 14 cm
- <u>Area of a rectangle = 42 cm^2</u>
<em>Second rectangle:</em>
- Area of a rectangle = 5 cm * 14 cm
- <u>Area of a rectangle = 70 cm^2</u>
<em>Third rectangle:</em>
- Area of a rectangle = 12 cm * 10 cm
- <u>Area of a rectangle = 120 cm^2</u>
By last, we must add the area of the rectangles:
- Area of the polygon = 42 cm^2 + 70 cm^2 + 120 cm^2
- <u>Area of the polygon = 232 cm^2</u>
As you can see, <em><u>the area of the polygon in the picture is 232 cm^2</u></em>.
Answer:
The speed of Natalie in miles per hour is 1.2 mph.
Step-by-step explanation:
Answer:
-∞ < x < ∞
-∞ < y <∞
Step-by-step explanation:
Suppose number is x
When Ann multiple it by 5 and added 7 to it the equation will be
= 5x + 7
The domain of a function is the complete set of possible values of the independent variable.
The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)
<h2>Domain: </h2>
-∞ < x < ∞ Set of all integers
<h2>Range :</h2>
-∞ < y < ∞ Set of all integers
Answer:
She will save by borrowing from Bank B.
Step-by-step explanation:
Michelle needs to calculate the interest for the length of each loan. Bank A will charge $2430 in interest and Bank B will charge $1980 in interest. She will save by borrowing from Bank B.
Sample answer on edge ;)
Answer:
D
Step-by-step explanation:
Given the 2 equations
x = y + 4 → (1)
2x - 3y = - 2 → (2)
Substitute x = y + 4 into (2)
2(y + 4) - 3y = - 2 ← distribute and simplify left side
2y + 8 - 3y = - 2
- y + 8 = - 2 ( subtract 8 from both sides )
- y = - 10 ( multiply both sides by - 1 )
y = 10
Substitute y = 10 into (1) for corresponding value of x
x = 10 + 4 = 14
Solution is (14, 10 ) → D
