Answer: 10
Step-by-step explanation:
We need to find the hypotenuse (the hypotenuse is the diagonal side of a right triangle), so we can use this formula: 
The two "legs" are a and b (it doesn't matter which leg is a and which leg is b), but the most important thing is that the hypotenuse is c.
So, we now know that we have to solve for c. To solve for c, substitute the values shown in the image for a and b






Points A, B, and E are collinear. They are all on the same line. Don't let the dashed line mislead you, it's just trying to show you that the line goes through the plane. I hope this was helpful.
The region describes a rectangle. F(x,y) is optimized at the intersecting points around the rectangle.
You can try plugging in (-3,-5) , (-3,4), (4,4) , (4,-5) and see which one gives you the largest value.
The max value of f(x,y) is at point (4,-5)
---> 4(4) - 7(-5) = 16 + 35 = 51
Answer:
Part 1) The measure of angle A is 
Part 2) The length side of a is equal to 
Part 3) The length side of b is equal to 
Step-by-step explanation:
step 1
Find the measure of angle A
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so

substitute the given values



step 2
Find the length of side a
Applying the law of sines

substitute the given values



step 3
Find the length of side b
Applying the law of sines

substitute the given values



The answer would be 0.05 because the five is in the hundredths place