50 - 40x ≥ 200
-40x ≥ -300
x ≤ 7.5
40$ can be withdrawn from the account 7 weeks if she wants to maintain a balance at least 200<span />
It would be a straight line
Answer:
A. Cylinder + cone
<u>Volume is the sum of volumes:</u>
- V = Vcon + Vcyl = 1/3πr²h₁ + πr²h₂
- V = 1/3π*9²*12 + π*9²*120 = 31554.2 cm³
<u>Surface area of cone:</u>
- A = A=πr(r+√(h₁²+r²)) = π*9(9 + √(9²+12²)) = 678.6 cm²
<u>Surface area of cylinder minus bases:</u>
- A = 2πrh₂ = 2π*9*120 = 6785.8 cm²
<u>Total surface area:</u>
- 678.6 + 6785.8 = 7464.4 cm²
-------------------------------------------------
B. Cube+ pyramid
<u>Volume:</u>
- V = a³ + (1/3)a²h = a³ + (1/3)a²√(l²-(a/2)²)
- V = 8³ + (1/3)8²√(10²-4²) = 707.5 cm³
<u>Surface area of pyramid:</u>
- A = a² + 2al = 8² + 2*8*10 = 224 cm²
<u>Surface area of cube minus bases:</u>
- A = 4a² = 4(8²) = 256 cm²
<u>Total surface area:</u>
<u><em>Answer:</em></u>
Evans was the fastest
<u><em>Explanation:</em></u>
<u>The relation between velocity, time and distance is as follows:</u>
<u>1- For Cutwright:</u>
We have the time = 84 minutes and the distance = 35 laps
<u>This means that:</u>
velocity = 
= 0.61667 lap/minute
<u>2- For Evans:</u>
We have time = 96.6 minutes and distance = 42 laps
<u>This means that:</u>
velocity = 
= 0.43478 lap/minute
<u>3- For Loza:</u>
We have time = 102.6 minutes and distance = 38 laps
<u>This means that:</u>
velocity = 
= 0.37037 lap/minute
Based on the above calculations, we can note than Evans was the fastest
Hope this helps :)
Fourty six thousand and fifty six. In expanded form it'll look like this:
40,000
6,000
0
50
6
