Answer:
B
Step-by-step explanation:
1 : 2 = 1/2 : 2 = 1/4 : 2 = 1/8 : 2 = 1/16 : 2 = 1/32 : 2= 1/64
Answer:
5. DE
6. 6cm
7.20 in
8. DCF
Step-by-step explanation:
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>
Step-by-step explanation:
The height of the rocket y in feet is related to the time after launch, x in seconds, by the given equation i.e.
......(1)
It is required to find the maximum height reached by the rocket. For maximum height put 
.
So,
Put x = 5.15 in equation (1).
So, the maximum height reached by the rocket is 503.39 m.
Answer:
Step-by-step explanation:
For a uniform distribution we have to:
for x∈ (a, b)
for 
for 
In this case we have to:
a = 25 min and b = 105 min
We want to find:
Then
In this case:
Therefore:
