if you had 17 over 4 that would be 17/4
how many times can 4 go into 17?
how ever many timer it goes in will be your whole number.
in this case its 4
there is 1 left over so it would be the numerator
17/4 would equal 4 1/4
Answer:
The outer diameter of the shaft to 2s.f is 12.65cm
Step-by-step explanation:
We know that the expression for the area of a circular cross section is
A= ![\frac{\pi d^2}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20d%5E2%7D%7B4%7D)
given data
area of cross section= ![125.6cm^2](https://tex.z-dn.net/?f=125.6cm%5E2)
bore diameter d= 8cm
from the area of cross section we can solve for the outer diameter D
![Area of cross section=\frac{\pi D^2}{4} \\\\125.6= \frac{3.142*D^2}{4}](https://tex.z-dn.net/?f=Area%20of%20cross%20section%3D%5Cfrac%7B%5Cpi%20D%5E2%7D%7B4%7D%20%5C%5C%5C%5C125.6%3D%20%5Cfrac%7B3.142%2AD%5E2%7D%7B4%7D)
solving for D we have
![3.142*D^2= 125.6*4\\\3.142*D^2= 502.4\\D^2= \frac{502.4}{3.142} \\D^2= 159.8981\\D=\sqrt{159.8981} \\D= 12.6450\\D= 12.65cm](https://tex.z-dn.net/?f=3.142%2AD%5E2%3D%20125.6%2A4%5C%5C%5C3.142%2AD%5E2%3D%20502.4%5C%5CD%5E2%3D%20%5Cfrac%7B502.4%7D%7B3.142%7D%20%5C%5CD%5E2%3D%20159.8981%5C%5CD%3D%5Csqrt%7B159.8981%7D%20%5C%5CD%3D%2012.6450%5C%5CD%3D%2012.65cm)
Answer:
y = (x-3)² has horizontal translation RIGHT 3 unit from y = x²
Step-by-step explanation:
y = (x-3)² has horizontal translation RIGHT 3 unit from y = x²
Answer:
Only Annabelle is correct.
Step-by-step explanation:
So we have the expression:
![(4^27^5)(4^37^2)](https://tex.z-dn.net/?f=%284%5E27%5E5%29%284%5E37%5E2%29)
When multiplying exponents with the same base, we can use the following property:
![x^ax^b=x^{a+b}](https://tex.z-dn.net/?f=x%5Eax%5Eb%3Dx%5E%7Ba%2Bb%7D)
Essentially, we add the exponents together.
So, first group them:
![=(4^24^3)(7^57^2)](https://tex.z-dn.net/?f=%3D%284%5E24%5E3%29%287%5E57%5E2%29)
Use the property:
![=4^{2+3}7^{5+2}](https://tex.z-dn.net/?f=%3D4%5E%7B2%2B3%7D7%5E%7B5%2B2%7D)
And so our answer is:
![=4^57^7](https://tex.z-dn.net/?f=%3D4%5E57%5E7)
So, Annabelle's answer is correct.
Navene incorrectly used the property. The property adds the exponents, it doesn't multiply them.
So, only Annabelle is correct.
And that's our answer :)
P.S. Congratulations on finishing!