Answer:
V = 128π/3 vu
Step-by-step explanation:
we have that: f(x)₁ = √(4 - x²); f(x)₂ = -√(4 - x²)
knowing that the volume of a solid is V=πR²h, where R² (f(x)₁-f(x)₂) and h=dx, then
dV=π(√(4 - x²)+√(4 - x²))²dx; =π(2√(4 - x²))²dx ⇒
dV= 4π(4-x²)dx , Integrating in both sides
∫dv=4π∫(4-x²)dx , we take ∫(4-x²)dx and we solve
4∫dx-∫x²dx = 4x-(x³/3) evaluated -2≤x≤2 or too 2 (0≤x≤2) , also
∫dv=8π∫(4-x²)dx evaluated 0≤x≤2
V=8π(4x-(x³/3)) = 8π(4.2-(2³/3)) = 8π(8-(8/3)) =(8π/3)(24-8) ⇒
V = 128π/3 vu
Answer:
No, the answer is 120 plants per square foot
Step-by-step explanation:
What I did was first figure up the area of the triangle. You want to do this because the area will tell you how many square feet are in the garden. In order to find this, you need to use this formula: 1/2 b·h
Plug in the numbers like this: 1/2·15·8
15 is the base of the triangle, while 8 is the height of the triangle. Now solve your equation.
15·8=120
1/2·120=60
Area = 60
Now you know that the area is 60ft². So there are 60 square feet in the whole garden. But, we're not done yet. Jessica wants to put 2 plants in every 1 square foot. So now, we need to multiply 60 by 2 in order to get 2 plants in every 1 square foot.
60·2=120
Jessica can put 120 plants in the garden if she is wanting 2 plants per square foot.
I hope this makes sense and is easy to understand. Please let me know if you need any more help or clarification. I'm always happy to help! Have a great day and good luck!!
The answer is B.
When you set up a ratio of all the corresponding sides, the ratios all equal 2:1
Answer:
225
Step-by-step explanation:
360 - 135 = 225
Answer:
30 %
Step-by-step explanation:
