We can see from the diagram that the length of the rectangle is 2 lots of the radius of one quarter circle. The width is made up of one radius, therefore the width is half of the length.
This means that the width of the rectangle is 9cm, and the radius of each quarter circle is 9cm.
To find the shaded area, we find the area of the rectangle and subtract from the areas of each circle, which are equal:
A = lw - 1/2(pi x r^2)
A = 9 x 18 - 1/2(81pi)
A = 162 - 81/2 pi
A = 34.8cm (3sf)
Answer:
<h2>The value of a is 12.</h2>
Step-by-step explanation:
The equation is given by (a - 12)x = a + 8.
In order to get the solution of the equation, that is the value of x, the above equation is needs to be divided by a - 12. (a - 12) will be in the denominator.
The solution can not be found, if the value of a - 12 will be 0, that is a = 12.
ANSWER: $44.10
EXPLANATION: The actual cost for an ice hockey match is $19.60. Now, if the price of the ticket increases by 12.5%, the cost of each ticket will increase by $2.45.
$19.6 x 12.5% = $2.45
So, the final price of a single ticket will be $22.05
$19.6 + $2.45 = $22.05
Hence, the cost of two tickets after the increase will be $44.10
$22.05 x 2 = $44.10
Answer: No solution
Step-by-step explanation:
-10x-16=14
-16x-6=14
-10x-16=-16x-6
-10x+16x-16=-16x+16x-6
6x-16=-6
6x-16+16=-6+16
6x=10
x=10/6
x=5/3
-16(5/3)-6=
-80/3-6*3/3=
-80/3-18/3=
(-80-18)/3=-98/3 
14
Hence, there is no solution
Inequalities and equations use similar steps to solve, but inequalities give a range of numbers that can represent the variable while an equation will give a direct answer.
Example:
4+5x=24
First you would subtract 4 or add the opposite of 4 from 24.
4+5x=24
+(-4) +(-4)
—————
5x=20
Then divide each side by 5 or multiply each side by the reciprocal of 5 to isolate the variable.
1/5*5x=20*1/5 (reciprocal)
X= 4
You would use the same steps in an inequality but end up with a different sign.
