The simplified expression is: -243v^5
hope this helps ;')
Based on the formula given of 27π = πn, we can find the value of n after substitution in an equation to be 27.
<h3>What is the value of n?</h3>
The value of n can be found by making n the subject of the formula as shown below;
27π = πn
n = 27π / π
Solving of n therefore gives:
n = 27π/π
n = 27
In conclusion, n is 27.
Find out more on finding terms at brainly.com/question/25827678.
The radii of the frustrum bases is 12
Step-by-step explanation:
In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section
As given in the figure radius and height of the cone are 9 and 12 respectively
Similarly, the height of the frustum is 4
Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)
We can see that ΔABC is similar to ΔADE
Using the similarity theorem
AC/AE=BC/DE
Substituting the values
12/16=9/DE
∴ DE= 16*9/12= 12
Hence the radii of the frustum is 12
Answer:
465 miles
Step-by-step explanation:
From the question,
S₁ = d₁/t₁............................... Equation 1
Where S₁ = Speed travels by Perry for the first journey, d₁= First distance traveled by Perry, t₁ = First time taken.
make d₁ the subject of the equation
d₁ = S₁t₁................... Equation 2
Given; S₁ = 55 miles per hour, t₁ = 5.5 hour
Substitute these values into equation 2
d₁ = 55×5.5
d₁ = 302.5 miles.
Also,
d₂ = s₂t₂.......................... Equation 2
Given: s₂ = 65 miles per hour, t₂ = 2.5 hours.
d₂ = 65×2.5
d₂ = 162.5 miles
Hence,
Total distance = d₁+d₂
Total distance = 302.5+162.5
Total disstance = 465 miles