9514 1404 393
Answer:
47°
Step-by-step explanation:
The law of sines helps you find angle T. From there, you can find angle S.
sin(T)/t = sin(R)/r
sin(T) = (t/r)sin(R) = (10/20)sin(104°)
T = arcsin(sin(104°)/2) ≈ 29°
Then angle S is ...
S = 180° -R -T = 180° -104° -29°
∠S = 47°
Step-by-step explanation:
b.3n/2 = 7/2
6n = 14
n = 2 1/3
c.-x/2 + 6 = -13/4
-x/2 = -37/4
-4x = -74
x = 18 1/2
d.3x/10 = 2/5
15x = 20
x = 1 1/3
e.x/10 = -20/3
3x = -200
x = -66 2/3
f.269x/56 = 10
269x = 560
x = 2 22/269
Break the expression into group:
factor out x from 4x² - 5x : x (4x-5)
factor out 3 from 12x-15 : 3 (4x-5)
factor out common term (4x-5) :
hope this helps!
Direct variation is y=kx, inverse variation is y=k/x....
-5y=-2x divide both sides by -5
y=2.5x
So this is a direct variation with a constant of 2.5
Answer:
y = 20x + 40
Step-by-step explanation:
Given that the rental rate for a cement mixer has a flat rate of $40 plus $20 for each day of the rental.
That means fixed one time cost is $40 which doesn't changes with time.
If number of days is represented by "x" then rental cost for "x" days will be 20 times x or just 20x.
So the final cost will be sum of fixed cost and the rental cost per day which is:
20x+40
Now if "y" represents total rental cost over time then final cost equation can be written as:
y = 20x + 40
Hence final answer is y = 20x + 40y = 20x + 40.
