Okay, you will need to use the law of cosines for this problem.
The Law of Cosines states (in this case): a^2 = b^2 + c^2 - 2 * b * c * cos A, where "a" is the side opposite angle A (7 inches), and b and c are the other two sides.
Plug the numbers in and you get: 7^2 = 5^2 + 9^2 - 2 * 5 * 9 * cos A, or:
49 = 25 + 81 - 90 * cos A.
Subtract (25 + 81) from both sides to get:
-57 = -90 * cos A.
Divide by -90 on both sides:
cos A = 19/30
To find A, you do the inverse trigonometric function to get:
cos^-1 of (19/30) = A.
I don't have a calculator that can do this right now, but if you plug the left side of the above equation into it (make sure it is in degrees, not radians), you should get A.
X+6≤12+2x
x-2x≤12-6
-x≤6
-x/-1≤6/-1
because we divide by a negative number, we have to flip the sign of inequality.
x≥-6
Answer: x≥-6
Answer:
distance between points=13 units
Step-by-step explanation:
distance between points=
put
=(8,7) and
=(3,-5)
distance between points=
distance between points=
distance between points=
distance between points=
distance between points=13 units answer
Answer: 223.77 minutes
Step-by-step explanation:
For this exercise you need to use the following formula:

Where
is the individual time for object A,
is the individual time for object B and
is the time for A and B working together.
In this case, analizing the information given in the exercise, you can identify that:

Knowing these values you can substitute them into the formula and then you must solve for "t" in order to calculate how long will it take working together.
You get that this is:
