Answer:
c=13.2 units
Step-by-step explanation:
step 1
Find the measure of angle C
Remember that the sum of the internal angles of a triangle must be equal to 180 degrees
so
A+B+C=180°
substitute the given values
16°+49°+C=180°
65°+C=180°
C=180°-65°=115°
step 2
Find the measure of c
Applying the law of sines
c/sin(C)=a/sin(A)
substitute the given values and solve for c
c/sin(115°)=4/sin(16°)
c=4(sin(115°))/sin(16°)
c=13.2 units
Let A and B represent the number of hours that plans A and B last, respectively. Then the problem statement tells you
7A +9B = 12
5A +3B = 6
There are many ways this set of equations can be solved. I find it fairly simple to use a graphing calculator. The one shown tells me the workouts are each 3/4 of an hour.
Plan A lasts 45 minutes (3/4 hour)
Plan B lasts 45 minutes (3/4 hour)
Answer:
10/3
Step-by-step explanation:
|x+3|=4x-7
So |-(x+3)|=|x+3|
We are going to try out two cases:
-(x+3)=4x-7 and x+3=4x-7
-x-3=4x-7 3=3x-7
-3=5x-7 10=3x
4=5x x=10/3
x=4/5
We are going to test out both because we could something that isn't actually a solution, this is called extraneous.
First thing I'm going to check is 4x-7 for it being positive.
4(4/5)-7=20/5-7=-15/5=-3 so 4/5 will not work because absolute value result can't be negative
4(10/3)-7=40/3-7=19/3 which is positive
checking |x+3| to see if is 19/3 for x=10/3 we see that is so that is the answer
Answer:
0, -1, -2
Step-by-step explanation:
Domain means the x-values of the function, so whatever points you can see the function passes through (I assume) would be your domain. HTH :)
Answer:
The numbers are -15 and 100

Step-by-step explanation:
we have

Solve the left side

so

equate the numerators and the denominators
20+x=5 ------> x=5-20=-15
100=y -------> y=5
therefore
The numbers are -15 and 100
