For most of these questions, all you would have to do is add the angles together and or subtract the larger angle from the smaller one to find the other angle. So in the first case.
You would add the angles, 26 degrees and 60 degrees to find the angle KLM which is about 90 degrees a right angle, in this case it would be 86 degrees.
Similarly, for the other question, take the larger angle, 145 degrees and subtract 61 degrees to solve for the angle that will also add to give 145 degrees,in this case it would be 84 degrees.
Suggest you use some punctuation here: "The h<span>eight of window is 0.6 feet less than 2.5 times it width. The height of window is 4.9 feet. Find the width of the window."
height of window = 4.9 feet = 2.5(width) - 0.6 feet.
simplify this equation by adding 0.6 feet to both sides of the equation:
4.9 feet + 0.6 feet = 2.5 (width); find width:
5.5 feet = 2.5 (width)
Dividing both sides of this equation by 2.5 will result in an equation for the width of the window, in feet.</span>
Answer: 8.125 inches
Step-by-step explanation: Ok so if the plant grew 3.25 inches every month, and there were 2.5 months, you need to multiply 3.25 by 2.5 to get the total amount of growth. So that would be 8.125
The correct way is to plug in the answer back into the equation and see if it results in the correct solution.
Answer:
Step-by-step explanation:
We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...
y = a(x -3)² +b
Filling in the values from the first two table points, we get
For (x, y) = (0, 6):
6 = a(0 -3)² + b ⇒ 9a +b = 6
For (x, y) = (2, 22):
22 = a(2-3)² +b ⇒ a +b = 22
Subtracting the second equation from the first gives ...
(9a +b) -(a +b) = (6) -(22)
8a = -16 . . . . . . collect terms
a = -2 . . . . . . . . divide by 8
The second equation above tells us ...
b = 22 -a = 22 -(-2) = 24
So, our equation for y is ...
y = -2(x -3)² +24
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The value of y for x=5 is ...
y = -2(5 -3)² +24 = 16
The height of the ball after 5 seconds is 16 feet.
