Answer: 4
Step-by-step explanation:
I got it right when i did my math
Your answer will be in miles per hour
There are two ways to do this. Both use the forumula
d = v * t
Givens
=====
d = 5/9 mile
t = 1/4 hour
Method One
=========
Use your calculator to get rid of the fractions. (Likely both your teacher and your parents will hate this method, But humor me, do it).
d = 5/9 mile = 0.55555 mile
t = 1/4 hour = 0.25 hour
Calculation
========
v = d/t
v = 0.555555 / 0.25
v = 2.2222222 miles per hour.
Method Two
=========
Use the fractions.
d = 5/9 // 1/4 Invert and multiply by the denominator.
d = 5/9 * 4/1
d = 20 / 9
d = 2 2/9
Answer:
Step-by-step explanation:
AC² + AP² = PC²
AC² + 5² = 13²
AC = 12
radius = AC/2 = 6
Answer: OPTION C
Step-by-step explanation:
Given the equation
, you need to solve for the variable "x".
First, you need to multiply both sides of the equation by
:
![(\frac{\sqrt{3-2x}}{\sqrt{4x}})(\sqrt{4x} })=2(\sqrt{4x} })\\\\\sqrt{3-2x}=2\sqrt{4x}](https://tex.z-dn.net/?f=%28%5Cfrac%7B%5Csqrt%7B3-2x%7D%7D%7B%5Csqrt%7B4x%7D%7D%29%28%5Csqrt%7B4x%7D%20%7D%29%3D2%28%5Csqrt%7B4x%7D%20%7D%29%5C%5C%5C%5C%5Csqrt%7B3-2x%7D%3D2%5Csqrt%7B4x%7D)
Now you need to square both sides of the equation:
![(\sqrt{3-2x})^2=(2\sqrt{4x})^2\\\\3-2x=4(4x)\\\\3-2x=16x](https://tex.z-dn.net/?f=%28%5Csqrt%7B3-2x%7D%29%5E2%3D%282%5Csqrt%7B4x%7D%29%5E2%5C%5C%5C%5C3-2x%3D4%284x%29%5C%5C%5C%5C3-2x%3D16x)
Subtrac 3 and 16x from both sides:
![3-2x-(3)-(16x)=16x-(3)-(16x)\\\\-18x=-3\\](https://tex.z-dn.net/?f=3-2x-%283%29-%2816x%29%3D16x-%283%29-%2816x%29%5C%5C%5C%5C-18x%3D-3%5C%5C)
Divide both sides by -18:
![\frac{-18x}{-18}=\frac{-3}{-18}\\\\x=\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B-18x%7D%7B-18%7D%3D%5Cfrac%7B-3%7D%7B-18%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B1%7D%7B6%7D)