Answer: option D is the correct answer
Step-by-step explanation:
The shaded portion of the circle is the smaller sector whose radius is the same as the radius of the circle which is given as 4 units. The sector is always bounded by two radii with a common point which is the center of the circle and forming an angle at that point. The given sector forms an angle of 45 degrees.
Area of a sector is expressed as
#/360 × π × r^2 and # is in degrees
Therefore, area of the shaded portion or sector = 45/360 × π × 4^2
= 45/360 × 16π
= 45/360 (16π)
The number of people attended dinner is 102.
<h3>What is an Equation ?</h3>
An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.
It is given in the question that
An awards dinner costs $225 plus $5 for each person making reservations
the total bill is $735
people attended the dinner = ?
Let x number of people attended the dinner
$225 + $5 * x = $735
5x = 735-225
5x = 510
x = 102
Therefore , 102 people attended the dinner.
To know more about Equation
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Let x = big number
Let y = small number
x + y = 66...Equation A
2y = x + 15...Equation B
We have two equations in two unknowns.
x + x + 15 = 66
2x = 66 - 15
2x = 54
x = 54/2
x = 27
Plug x = 27 into EITHER equation above to find y.
I will use Equation A.
x + y = 66
27 + y = 66
y = 66 - 27
y = 39
The two numbers are 27 and 39.
If you have a calculator:
<span>1) To find 1%, divide by 100 (70 / 100 = 0.7) </span>
<span>2) Then, multiply by the % you need (0.7 x 13 = 9.1) </span>
<span>Therefore 70 - 9.1 = 60.9 </span>
<span>If you don't have a calculator: </span>
<span>1) Find 50%, 10%, 5%, and 1%. With these, you can make any % you need. </span>
<span>50% = X / 2 (= 35) </span>
<span>10% = X / 10 (= 7) </span>
<span>5% = first, do 10%, then divide that by 2 (= 3.5) </span>
<span>1% = X / 100 (= 0.7) </span>
<span>Where X is the number you want to work out % for </span>
<span>2) Add those % up to get the amount you want </span>
<span>10% + 1% + 1% +1% = 13% </span>
<span>7 + 0.7 + 0.7 + 0.7 = 9.1 </span>
<span>Therefore 70 - 9.1 = 60.9
Hope that helps :)</span>
