Answer:
227 sides
Step-by-step explanation:
The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:
40500 = 180(n-2)
225 = n-2
227 = n
Therefore, the number of sides in the regular polygon is 227.
Answer:
24 in³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height.
The volume of a pyramid is given by the formula ...
V = (1/3)Bh
where B and h have the same definitions.
For a pyramid with the same B and h as a prism, the volume is 1/3 that of the prism:
(1/3) × (72 in³) = 24 in³ . . . . volume of the pyramid
Answer: he invested $15000 in part 1 and $60000 in part 2
Step-by-step explanation:
Let x represent the amount of money invested in part one.
Let 4x represent the amount of money invested in part 2 .
Total amount of money invested in part 1 and part 2 is
x + 4x = 5x
The formula for simple interest is expressed as
I = PRT/100
Where
P is the principal or initial amount.
T is the duration in years
R is the number rate.
For part 1
R = 7%
T = 1 year
P = x
I = (x × 7 × 1)/100 = 0.07x
For part 2,
R = 11%
T = 1 year
P = 4x
I = (4x × 11 × 1)/100 = 0.44x
if the total annual income from interest is 7650. This means that
0.44x + 0.07x = 7650 - - - - - - - -2
0.51x = 7650
x = 7650/0.51
x = 15000
Amount invested in part 1 is $15000
Amount invested in part 2 is 4×15000 = $60000
The solution of inequality 
is f < 132
<em><u>Solution:</u></em>
Given that we have to find the solution of inequality
These things do not affect the direction of the inequality:
Add (or subtract) a number from both sides.
Multiply (or divide) both sides by a positive number.
Simplify the sides
<em><u>Given inequality is:</u></em>
Add 19 to both sides of equation
Multiply both the sides of inequality by 2
Thus the solution to given inequality is f < 132
