Area of Big Rectangle Area of Small Rectangle
A = L x w A = L x w
= (25 + 2w)(10 + 2w) = 25 x 10
= 250 + 50w + 20w + 4w² = 250
Big - Small
74 = 250 + 70w + 4w² - 250
74 = 4w² + 70w
0 = 4w² + 70w - 74
= 2(2w² + 35w - 37)
= 2[2w² -2w | +37w - 37]
= 2[2w(w - 1) | +1(w - 1)]
= 2(2w + 1)(w - 1)
0 = 2 0 = 2w + 1 0 = w - 1
FALSE so disregard w = -1/2 w = 1
NEGATIVE so disregard
Answer: 1 meter
Answer:
<em>90 degree</em>
Step-by-step explanation:
Three points A, B, and C are added and shown in attached picture.
As the property of inscribed angle in circle:
angle BAC = (1/2) x 88 = 44 deg
As the property of complement angle:
angle ABC = 180 - 89 = 91 deg
As the property of sum of three angles in a triangle:
angle ACB + angle ABC + angle BAC = 180 deg
=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg
One more time, we use the property of inscribed angle in circle:
x = 2 x angle ACB = 2 x 45 = 90 deg
Hope this helps!
Answer:
x = 1178 games
Step-by-step explanation:
Let the number of games = x
Let the total cost = Tc
Let the total revenue = Tr
Given the following data;
Investment = $10,000
Cost of each game = $1.50
Selling cost = $9.99
Total cost, Tc = (Cost of each game * Number of games) + Investment
Tc = 1.50x + 10000
Total revenue, Tr = Selling cost * Number of games
Tr = 9.99x
Breakeven point is when total cost is equal to total revenue;
Tc = Tr
x = 1177.86 ≈ 1178 games.
<em>Therefore, the number of games that must be sold before the business breaks even is 1178 games. </em>
To answer this question we will have to understand the nature of
.
can be rewritten as:
. Now,
is an irrational number and thus any of the four operations of addition, multiplication, subtraction or division placed anywhere between any of these terms will always result in an irrational number.
The only way irrational numbers can be made rational is by dividing or multiplying the given irrational number by the same irrational number.
The median of your data set will be 25.5