Answer:
<h2>
![x = - \frac{17}{4}](https://tex.z-dn.net/?f=x%20%3D%20%20-%20%20%5Cfrac%7B17%7D%7B4%7D%20)
</h2>
Step-by-step explanation:
![6x + 3(4x - 2) = 5(2x - 8)](https://tex.z-dn.net/?f=6x%20%2B%203%284x%20-%202%29%20%3D%205%282x%20-%208%29)
Expand the terms in the bracket and simplify
That's
![6x + 12x - 6 = 10x - 40 \\ 18x - 6 = 10x - 40](https://tex.z-dn.net/?f=6x%20%2B%2012x%20%20-%206%20%3D%2010x%20-%2040%20%5C%5C%2018x%20-%206%20%3D%2010x%20-%2040)
Using the subtraction property subtract 10x from both sides of the equation
![18x - 10x - 6 = 10x - 10x - 40 \\ 8x - 6 = - 40](https://tex.z-dn.net/?f=18x%20-%2010x%20-%206%20%3D%2010x%20-%2010x%20-%2040%20%5C%5C%208x%20-%206%20%3D%20%20-%2040)
<u>Add 6 to both sides of the equation</u>
![8x + 6 - 6 = - 40 + 6 \\ 8x = - 34](https://tex.z-dn.net/?f=8x%20%2B%206%20-%206%20%3D%20%20-%2040%20%2B%206%20%5C%5C%208x%20%3D%20%20-%2034)
<u>Divide both sides by 8</u>
![\frac{8x}{8} = - \frac{34}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8x%7D%7B8%7D%20%20%3D%20%20-%20%20%5Cfrac%7B34%7D%7B8%7D%20)
<u>Reduce the fraction with 2</u>
We have the final answer as
![x = - \frac{17}{4}](https://tex.z-dn.net/?f=x%20%3D%20%20-%20%20%5Cfrac%7B17%7D%7B4%7D%20)
Hope this helps you
Answer:
A
Step-by-step explanation:
using the sine ratio in the right triangle, then
sin 45° =
= ![\frac{x}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B5%7D)
multiply both sides by 5
note the exact value of sin 45° = ![\frac{\sqrt{2} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D)
x = 5 × sin 45° = 5 ×
= ![\frac{5\sqrt{2} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Csqrt%7B2%7D%20%7D%7B2%7D)
A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). However, one third can be express as 1 divided by 3, and since 1 and 3 are both integers, one third is a rational number.
hope it helps!
Answer:
6,28
Step-by-step explanation:
NOT NEEDED FOR THIS QUESTION
Given:
Diameter of outer circle = 20 inches.
We need to find the Area of the outer circle to get the radius of the inner circle.
Area = πr²
Outer circle Area = 3.14 * (10in)² = 314 in²
314 in² * 64% probability = 200.96 in² Area of the inner circle.
200.96 in² = 3.14 * r²
200.96 in² / 3.14 = r²
64 in² = r²
√64 in² = √r²
8 in = r
radius of inner circle is 8 inches.