Hello,
Please, see the attached file.
Thanks.
Answer:
x = 2 - sqrt(19/6)
x = 2 + sqrt(19/6)
Step-by-step explanation:
1/8x-20=32
1/8x=32+20
1/8x=52
X=52*8
Answer:
y = 18.38 + 0.0634x
Step-by-step explanation:
Given,
Monthly base charge = $18.38,
Also, the cost of each kilowatt-hours = 6.34 cents = $ 0.0634
( 1 cents = 0.01 dollars ),
So, the cost of x kilowatt-hours = 0.0634x,
If y represents the total monthly charge ( in dollars ) for x kilowatt-hours,
Thus, the total monthly charge for x kilowatt-hours = base charge + cost of x kilowatt-hours,
⇒ y = 18.38 + 0.0634x
Which is the required equation.
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>.
