The area <em>A</em> of a trapezoid with height <em>h</em> and bases <em>b</em>₁ and <em>b</em>₂ is equal to the average of the bases times the height:
<em>A</em> = (<em>b</em>₁ + <em>b</em>₂) <em>h</em> / 2
We're given <em>A</em> = 864, <em>h</em> = 24, and one of the bases has length 30, so
864 = (<em>b</em>₁ + 30) 24 / 2
864 = (<em>b</em>₁ + 30) 12
864 = (<em>b</em>₁ + 30) 12
72 = <em>b</em>₁ + 30
<em>b</em>₁ = 42
Answer:
A. Total Money Contributed after n months = 
B. Total Money Contributed after 24 months = 
Step-by-step explanation:
Given:
Initial contribution = 
each month contribution =
After 1 month contributed = 
Solving for Part A
let n be the number of months
∴ Total Contribution after n months = Initial contribution + (each month contribution 
Number of months = 
Solving for Part A
Now n= 24 months
∴ Total Contribution after 24 months = 
2x+1=27032
2x=27031
x=13515.5
2x+3
=2(13515.5)+3
=27034
Negative 6, negative 8, and positive 1.
(-6)+(-8)=-14+(1)=-13
(-6)*(-8)=48*(1)=48
Answer:
Step-by-step explanation:
<u>Use the law of sines:</u>
- AC / sin B = AB / sin C
- 100 / sin B = 250 / sin 95°
- sin ∠B = 100 sin 95° / 250
- sin ∠B = 0.39847787923
- m∠B = arcsin 0.39847787923
- m∠B = 23.5° (rounded up)
