10, because 6(2) is 12 then you divide that by 3 which is four to which you add 6. therefore the answer is 10.
Answer: choice B
Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean
For answer choice A:
(root 2)^2 + (root 3)^2 = (root 4)^2
2 + 3 = 4
5 = 4
5 does not equal 4. Therefore it cannot be A.
For answer choice B:
(root 8)^2 + (3)^2 = (root 17)^2
8 + 9 = 17
17 = 17
this is true! therefore this is a right triangle and it’s B
Answer: x=20/3=6.67
Step-by-step explanation:
To solve proportions, the most useful way is to use [cross multiplication], where we not multiply horizontally but as diagonally.
-----------------------------------------------------------------------------
Given
x:10=9:6
Cross Multiply
9·x=6·10
9x=60
Divide 9 on both sides
9x/9=60/9
x=20/3=6.67
Hope this helps!! :)
Please let me know if you have any questions
Answer:
![Distance =24\frac{1}{2}\ km](https://tex.z-dn.net/?f=Distance%20%3D24%5Cfrac%7B1%7D%7B2%7D%5C%20km)
Step-by-step explanation:
Given
![Rate = \frac{4}{5} km/ min](https://tex.z-dn.net/?f=Rate%20%3D%20%5Cfrac%7B4%7D%7B5%7D%20km%2F%20min)
Required
Determine the distance covered in ![6\frac{1}{8}\ min](https://tex.z-dn.net/?f=6%5Cfrac%7B1%7D%7B8%7D%5C%20min)
The distance is calculated using:
![Distance = Rate * Time](https://tex.z-dn.net/?f=Distance%20%3D%20Rate%20%2A%20Time)
This gives:
![Distance = 4 * 6\frac{1}{8}](https://tex.z-dn.net/?f=Distance%20%3D%204%20%2A%206%5Cfrac%7B1%7D%7B8%7D)
Convert to improper fraction
![Distance = 4 * \frac{49}{8}](https://tex.z-dn.net/?f=Distance%20%3D%204%20%2A%20%5Cfrac%7B49%7D%7B8%7D)
![Distance = \frac{4 * 49}{8}](https://tex.z-dn.net/?f=Distance%20%3D%20%5Cfrac%7B4%20%2A%2049%7D%7B8%7D)
![Distance = \frac{196}{8}](https://tex.z-dn.net/?f=Distance%20%3D%20%5Cfrac%7B196%7D%7B8%7D)
![Distance =24\frac{1}{2}\ km](https://tex.z-dn.net/?f=Distance%20%3D24%5Cfrac%7B1%7D%7B2%7D%5C%20km)