Answer:
x=20
Step-by-step explanation:
3^x=243^4
3^x=(3^5)^4
3^x =3^20
x=20
Answer:
Step-by-step explanation:
3.14*10*(10+24^2+10^2 squared)
31.4*5870 squared
31.4*76.62
240.5554
I don't know if this is right
Answer:
169,344
Step-by-step explanation:
Data provided in the question
Different fruits = 8
Different vegetables = 9
There is only room for 6 items
Based on the above information, the number of ways for an equal number of fruits & veggies is
For the number of combinations of fruit is

For the number of combinations of vegetables is

So, the total combinations are

= 169,344
Answer:
7 feet is the length of the blade of the windmill.
Step-by-step explanation:
We have the equation
h = 7 sin(pi/21t) + 28 ------ eq1
At time 't' = 0, the end of the blade is pointing to the right parallel to the ground meaning it is at the same height as the other end. (Ф = 0°)
So, by calculating the maximum height of this end at Ф = 90°. we can calculate the length of the blade.
Now, we know that a general model equation of a circular simple harmonic motion is represented as : y = A sinωt + k ----- eq2
Where A is the amplitude that is, maximum displacement from mean to maximum position.
ω is the angular frequency.
Comparing eq1 and eq2:
A = 7
so the difference in blades end height at Ф = 0° and Ф = 90° is 7 feet.
Hence, the length of the blade is 7 feet.
-4.5 might be the answer im not very sure but yeah