Answer:
About 73 degrees
Step-by-step explanation:
By the law of cosines:
Hope this helps!
Answer:
Step-by-step explanation:
"When 200 gallons of oil were removed from a tank" algebraically looks like this:
V - 200.
"...the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:
3/7(V)
Therefore, the equation is
V - 200 = 3/7(V)
Begin by multiplying both sides by 7:
7(V - 200) = 3V and
7V - 1400 = 3V so
-1400 = -4V so
V = 350 gallons
That's if the volume of the oil in the tank was 3/7 of the tank's capacity.
For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:
V - 200 = 1/2(V)
Multiplying both sides by 2 gives you
2(V - 200) = V and
2V - 400 = V so
-400 = -V so
V = 400
Slope of 2y = x + 5:-
This is y = 0.5 x + 2.5 in slope intercept form so its slope = 0.5
Slope of the line perpendicular to it = -1 / 0.5 = -2
it passes through (2 , 1) so we have
y- 1 = -2(x - 2)
y = -2x + 4 + 1
The answer is y = -2x + 5
Answer:
-1/240 (Might be wrong though)
Step-by-step explanation:
The first thing we need to do is multiply 1/15 and 1/16 because product means the answer to a multiplication equation.
1/15 times 1/16 = (1*1)/(15*16) = 1/240
Now that we know the product 1/240, we just have to find the opposite, which is -1/240 because you just add a negative sign in opposites( even in negative numbers)
