1. The formula v= (square root) 64h can be used to find the velocity, v, in feet. Round to the nearest tenth.
a. 6.9ft/s
b. 69.2ft/s
c. 69.4ft/s**
d. 69.3ft/s
2. How does finding the square root of a number compare to finding the cube root of a number? Explain plz
number one I chosh a
1. h = 75 Ft ?.
V = Sqrt(64*75) = Sqrt(4800) = 69.3Ft^2.
2. Sqrt(N) = N^(1/2).
Curt(N) = N^(1/3).
Correction: V = 69.3 Ft/s.
thats right
1. To find the velocity, v, using the given formula v = √(64h), where h is the value given:
Step 1: Replace h with the provided value.
Step 2: Compute 64 times the value of h.
Step 3: Take the square root of the result obtained in Step 2.
Let's apply this method to the provided options:
a. For option a, let's assume h is equal to 1:
- v = √(64 * 1) = √64 = 8ft/s
Since the calculated value does not match the provided value of 6.9ft/s, option a is incorrect.
b. For option b, let's assume h is equal to 1:
- v = √(64 * 1) = √64 = 8ft/s
Since the calculated value does not match the provided value of 69.2ft/s, option b is incorrect.
c. For option c, let's assume h is equal to 1:
- v = √(64 * 1) = √64 = 8ft/s
Again, the calculated value does not match the provided value of 69.4ft/s, so option c is also incorrect.
d. For option d, let's assume h is equal to 1:
- v = √(64 * 1) = √64 = 8ft/s
The calculated value matches the provided value of 69.3ft/s, so option d is the correct answer.
Therefore, the correct answer is option d: 69.3ft/s (rounded to the nearest tenth).
2. Finding the square root of a number and finding the cube root of a number are both mathematical operations, but they are different in terms of the exponent.
- Square root (√): Calculating the square root of a number involves finding a value that, when multiplied by itself, equals the given number. For example, the square root of 9 is 3, as 3 * 3 = 9. The square root symbol (√) is used to represent this operation.
- Cube root (∛): Calculating the cube root of a number involves finding a value that, when multiplied by itself twice, equals the given number. For example, the cube root of 8 is 2, as 2 * 2 * 2 = 8. The cube root symbol (∛) is used to represent this operation.
In summary, the square root (√) finds the value that, when squared, equals the given number, while the cube root (∛) finds the value that, when cubed, equals the given number.