Answer: k=21
Step-by-step explanation:
1. Distribute the 9 to the k and the -4 in the parentheses.
9 · k = 9k and 9 · -4 = -36
You now have 9k - 36 - 7k. You can combine the like terms of 9k and -7k and get 2k, giving you 2k - 36.
2. For the other side of the equation, you also distribute -2 to the k and -8 in the parantheses.
-2 · k = -2k and -2 · -8 = 16
You now have 32 - 2k + 16. Combine the like terms 32 and 16 (32 + 16) and you get 48. This gives you the equation 48 - 2k.
3. Now you should have the equation 2k - 36 = 48 - 2k.
You want the k on one side of the equation so you need to cancel out one of them. I cancelled out -2k by adding 2k to it. You also need to add this 2k to your 2k on the other side of the equation.
Ex: 2k - 36 = 48 - 2k
+2k +2k
4. Now you should have 4k - 36 = 48. You need to get 4k by itself so cancel out -36 from both sides by adding 36 to -36 and adding 36 to 48.
You should now have 4k = 84 (48 + 36 = 84).
Divide both sides by 4 to get k by itself. 4 divided by 4 makes k and 84 divided by 4 equals 21. This makes k = 21, which is your answer.
Answer:
its 6900000
Step-by-step explanation:
6hue and 388
The ideal radius Alan must control is
cm.
<h3>Define perimeter of circle.</h3>
The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The area of a circle determines the space it takes up. A circle's diameter is equal to the length of a straight line traced through its center. Usually, it is stated in terms of units like cm or m.
Given data -
Perimeter of circular plate = 10
cm
We know that perimeter of a circle is 2
r
Therefore 10
= 2
r
r = 5 cm
The given error Alan can make is +-1 cm.
Minimum radius is given by
2
r = 10
- 1
r = ![\frac{10\pi - 1 }{2\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B10%5Cpi%20-%201%20%7D%7B2%5Cpi%20%7D)
r = 5 - ![\frac{1}{2\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%5Cpi%20%7D)
Maximum radius is given by
2
r = 10
+ 1
r = ![\frac{10\pi + 1 }{2\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B10%5Cpi%20%2B%201%20%7D%7B2%5Cpi%20%7D)
r = 5 + ![\frac{1}{2\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%5Cpi%20%7D)
The ideal radius Alan must control is
cm.
To know more about perimeter of circle, visit:
brainly.com/question/2718232
#SPJ1
Answer:
Option 4, BC = 12.689, m∠A = 58°, and m∠C = 32°
Hope this helps!