Use dimensional analysis. 1 lb = 16 oz will be the conversion factor. 162 oz x (1 lb/16 oz) = 10.125 lb.
The standard for is 2000+ 1200
Answer: the length of the angle bisector of angle ∠A is 6 ft
Step-by-step explanation:
The diagram of the right angle triangle ABC is shown in the attached photo
Looking at triangle ABC,
cos θ = adjacent side/hypotenuse side
cos θ = 5/13 = 0.3846
θ = 67.38 degrees
The bisector of an angle divides it into two equal halves. The bisector is represented by line AD.
θ/2 = 67.38/2 = 33.69 degrees
Therefore,
Cos 33.69 = 5/AD
AD × Cos 33.69 = 5
AD = 5/Cos 33.69 = 5/0.832
AD = 6 ft
Answer:
37. {-1, -1}.
Step-by-step explanation:
I'll solve the first one . The other can be solved in a similar way. We can use the method of elimination.
x1 - x2 = 0
3x1 - 2x2 = -1
We can multiply the first equation by -2. We then have an equation containing + 2x2 so when we add this to the second equation the 2x2 will be eliminated
So the first equation becomes:
-2x1 + 2x2 = 0 Bring down the second equation:
3x1 - 2x2 = -1 Now adding, we get:
x1 + 0 = -1
so x1 = -1.
Now we substitute this value of x1 in the original first equation:
-1 - x2 = 0
-1 = x2
x2 = -1.
So the solution set is {-1, -1}.
If there are more than 2 equations you can use a combination of substitutions and eliminations.
