Given:
θ = 60°
Radius = 8 in
To find:
The area of the shaded segment.
Solution:
Vertically opposite angles are congruent.
Angle for the shaded segment = 60°
<u>Area of the sector:</u>


A = 33.5 in²
Area of the sector = 33.5 in²
<u>Area of triangle:</u>


A = 32 in²
Area of the triangle = 32 in²
Area of segment = Area of sector - Area of triangle
= 33.5 in² - 32 in²
= 1.5 in²
The area of the shaded segment is 1.5 square inches.
Answer:
d = 4
Step-by-step explanation:
41 = 12d - 7
48 = 12d
d = 4
<em>6</em><em>-</em><em>1</em>
<em>=</em><em>5</em>
<em>F</em><em>i</em><em>v</em><em>e</em><em> </em><em>pi</em><em>g</em><em>s</em><em> </em><em>are</em><em> </em><em>left</em><em>.</em><em>.</em><em>.</em>
Answer: the amount in the account would be $515.15
Step-by-step explanation:
Initial amount deposited into the account is $500 This means that the principal is
P = 500
It was compounded quarterly. This means that it was compounded four times in a year. So
n = 4
The rate at which the principal was compounded is 4%. So
r = 4/100 = 0.04
The money would be compounded for 9 months. So
t = 9 months = 9/12 = 0.75
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 500 (1+0.04/4)^ 4 × 0.75
A = 500(1.01)^3= $515.15
Answer:
250
Step-by-step explanation:
If they asked 50 people, and 25 said yes, that means you could excpect about 50% to buy fresh fruit, or 250 out of 500. 500/2=250