Explanation:
The formula for law of cosines is:
![a^{2} = b^{2} + c^{2} - 2bc(cosA)](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%3D%20b%5E%7B2%7D%20%2B%20c%5E%7B2%7D%20-%202bc%28cosA%29)
This is written at the top of your paper.
The angle is substituted where the capital A is. The side opposite to the angle is the angle name's lowercase. The two other sides are b and c.
Substitute all the information you know, then isolate the variable that you do not know.
When your formula is rearranged to look like this:
![\frac{a^{2} - b^{2} - c^{2}}{- 2bc} = (cosA)](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7B2%7D%20-%20b%5E%7B2%7D%20-%20c%5E%7B2%7D%7D%7B-%202bc%7D%20%3D%20%28cosA%29)
Solve the left side and punch into your calculator:
cos⁻¹(left side) to find the angle A.
Answer:
5
Step-by-step explanation:
The mean is 6 and there are 5 intergers.
You'd multiply 5*6=30. That means that the sum is 30.
The values could be: 2 3 7 9 9
These values add up to 20
Have a mode of 9
Have a median of 7
Have a mean of 6
To find the range you would subtract 9 and 2. That gives you 5.
(i don't know if that's the greatest possible range. But 5 would be the range here)
Answer: It is 2.
Step-by-step explanation:
Make both equation equal to each other and solve for x, as following:
- Add like terms.
- Factor the equation.
![8x-14=x^{2}+4x-10\\x^{2}+4x-10-8x+14=0\\x^2-4x+4=0\\(x-2)(x-2)=0\\(x-2)^2=0\\x=2](https://tex.z-dn.net/?f=8x-14%3Dx%5E%7B2%7D%2B4x-10%5C%5Cx%5E%7B2%7D%2B4x-10-8x%2B14%3D0%5C%5Cx%5E2-4x%2B4%3D0%5C%5C%28x-2%29%28x-2%29%3D0%5C%5C%28x-2%29%5E2%3D0%5C%5Cx%3D2)
Substitute the value of x obtained into any of the original equations to obtain the y-coordinate.
Then, this is:
![y=8(2)-14\\y=16-14\\y=2](https://tex.z-dn.net/?f=y%3D8%282%29-14%5C%5Cy%3D16-14%5C%5Cy%3D2)
Answer:
Associative property of multiplication
Step-by-step explanation:
The expression is solved as follows :
(4×5)×2=4×(5×2)
Associative property of multiplication is as follows :
(a×b)×c = a×(b×c)
In this problem,
a = 4, b = 5 and c = 2
Hence, Associative property of multiplication is used to solve the given expression.