Answer: Option 1
Step-by-step explanation:
1. You know the lenght of both rectangular prism, therefore if both are similar, the scale factor is:

2. Then the scale factor of the volumes is:

3. Now, you must multiply the volume of the smalller rectangular prism by the scale factor obtained, then you obtain the following result:
Answer:
Step-by-step explanation:
If she had two dice, a seven is the most common roll you can get, although the odds are still against you.
To get a seven with just 1 die is impossible.
The area bounded by the 2 parabolas is A(θ) = 1/2∫(r₂²- r₁²).dθ between limits θ = a,b...
<span>the limits are solution to 3cosθ = 1+cosθ the points of intersection of curves. </span>
<span>2cosθ = 1 => θ = ±π/3 </span>
<span>A(θ) = 1/2∫(r₂²- r₁²).dθ = 1/2∫(3cosθ)² - (1+cosθ)².dθ </span>
<span>= 1/2∫(3cosθ)².dθ - 1/2∫(1+cosθ)².dθ </span>
<span>= 9/8[2θ + sin(2θ)] - 1/8[6θ + 8sinθ +sin(2θ)] .. </span>
<span>.............where I have used ∫(cosθ)².dθ=1/4[2θ + sin(2θ)] </span>
<span>= 3θ/2 +sin(2θ) - sin(θ) </span>
<span>Area = A(π/3) - A(-π/3) </span>
<span>= 3π/6 + sin(2π/3) -sin(π/3) - (-3π/6) - sin(-2π/3) + sin(-π/3) </span>
<span>= π.</span>
Answer:
249mm
Step-by-step explanation:
You find volume of the overall figure- 11 x 3 x 13= 429
Then find volumes of missing parts of overall complete figure and subtract from the overall volume....
5 x 4 x 3= 60
429-60=369
-------------------------------------
8 x 5 x 3= 120
369-120= 249
Hope this helped!! Hope you got it- please leave a rating and mark as Brainliest. Thank You :) (I really want to go to sleep right now, would have explained further, sorry)
Answer:
=> 1
Step-by-step explanation:
4/5 + 1/5
=> 5/5
