Answer: 128.86cm²
Step-by-step explanation:
The circle is inscribed in the rectangle. To find the shaded portion, subtract he area of the circle from the are of the rectangle.
Area of the rectangle = 11 x 12
= 132cm²
Area of the circle with radius of 1cm = πr²
= 3.142 x 1²
= 3.142cm²
Therefore , area of the shaded region = 132cm² - 3.142cm²
= 128.86cm²
Divide by 1000 to convert to kilometers per minute
Then multiply by 60 to convert to kilometers per hour.
Conversion factor is 60/1000 = 0.06 answer
Answer:
The number is 42.
Step-by-step explanation:
Let x be the unknown number.
"two less than a number" is x - 2
Quotient means the result of a division.
(x - 2)/5 = 8
Multiply both sides by 5.
x - 2 = 40
Add 2 to both sides.
x = 42
Answer: The number is 42.
Check.
Start with 42. 2 less than 42 is 40. The quotient of 40 and 5 is 40/5 which is 8. The answer is correct.
Answer:
x = 2√13.
Step-by-step explanation:
Using the Pythagoras theorem:
14^2 = x^2 + 12^2
x^2 = 14^2 - 12^2
x^2 = (14 + 12)(14 - 12) = 52
x = √52
x = √4*√13
x = 2√13.
Answer:
73
Step-by-step explanation:
Original number: XY
x = 3y - 2
10y + x = (10x + y) / 2 + 1/2
substitution: 10y + 3y - 2 = 13y - 2 = (10 * (3y - 2) + y) / 2 + 1/2
* 2 both sides and simplify: 26y - 4 = 31y - 19
31y - 26y = -4 + 19
5y = 15
y = 3
x = 7
Original number: 73
