Answer:

Step-by-step explanation:
Break the figure in three parts as shown in the image I attached.
The figure makes 2 semi circles and 1 rectangle so,
Area of rectangle = Length x breadth
Area of rectangle = 12 x 10
Area of rectangle = 120
Now for the semi circles , we have 2 semi-circles which means area of both semi circles would be
Area of semi circle = 
so, Area of two semi circles would be =
so, Area of two semi circles would be = 
now for the radius we know that,
Diameter = 2 x radius
D = 2r
and the diameter is 10cm so,
10 = 2r
10/2 = r
r = 5cm
so we put r = 5 in the formula ,

So now the total area of the figure is
Total Area = Area of rectangle + Area of two semi circles
Total Area = 120 + 78.5
Total Area = 198.5 cm^2
Answer:
Advance tickets cost $30; same-day tickets cost $35.
Step-by-step explanation:
Let a = the cost of an advance ticket
and s = the cost of a same-day ticket
We have two conditions:
(1) a + s = 65
(2) 15a + 20s = 1150
Subtract a from each side of (1) (3) s = 65 - a
Substitute (3) into (2) 15a + 20(65 - a) = 1150
Distribute the 20 15a + 1300 - 20a = 1150
Combine like terms 1300 - 5a = 1150
Subtract 1300 from each side -5a = -150
Divide each side by -5 (4) a = 30
Substitute (4) into (1) 30 + s = 65
Subtract 30 from each side s = 35
Advance tickets cost $30; same-day tickets cost $35.
Check:
(1) 30 + 35 = 65 (2) 15 × 30 + 20 × 35 = 1150
65 = 65 450 + 700 = 1150
1150 = 1150
The page count will be 10 when the two students will reach the same count.
Step-by-step explanation:
Given,
Typing speed of Annie = 3 pages per hour
Pages already typed by Annie = 4
Let,
x be the number of hours.
y be the total pages typed.
y = 3x+4 Eqn 1
Typing speed of Whitney = 1 page per hour
Pages already types by Whitney = 8
y = 1x+8 Eqn 2
For same number of pages;
Eqn 1 = Eqn 2

Dividing both sides by 2

Putting x=2 in Eqn 1

Putting x=2 in Eqn 2

The page count will be 10 when the two students will reach the same count.
Keywords: linear equation, addition
Learn more about linear equations at:
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Well, divide the 12 meters in even parts of 3/4
or, how many times does 3/4 go into 12?