Answer:
true
Step-by-step explanation:
To convert a percentage to a decimal you move the decimal two places to the left. Therefore:
15.% becomes .15
You then multiply this decimal to the number you are trying to find the percentage of.
.15 × 60 = 9.
9 is 15% of 60.
Answer:
Step-by-step explanation:
Since y = -3 we can plug straight into the other equation
--> -x + 2y = -6
-x + 2(-3) = -6
-x - 6 = -6
-x = 0
x = 0
To graph this draw a horizontal like across the page at y = -3 and a vertical line down the page to represent x = 0
The point where these lines intersect is (0,-3)
So that would be the ordered pair solution.
Answer: The tree was 27 feet tall
Step-by-step Explanation: First of all Sally was standing 30 feet away from the tree and she looks up at an angle of elevation of 38 degrees to the top of the tree. With this bit of information we can determine that a right angled triangle has been formed with the reference angle as 38 degrees, the side facing it as h (the height of the tree) and the adjacent side as 30. We shall apply the trigonometric ratio as follows;
Tan 38 = opposite/adjacent
Tan 38 = h/30
0.7813 = h/30
0.7813 x 30 = h
23.4 = h
We remember at this point that Sally’s eyes were 4 feet above the ground. What we have just calculated is the height of the tree from “4 feet above the ground” (where her eyes were). Hence the actual height of the tree is calculated as 23.4 plus 4 which gives us 27.4
Therefore the tree was 27 feet tall (approximately to the nearest foot)
Remember, the graph of a line represents every point that is a possible solution for the equation of that line. So when the graphs of two equations cross, the point of intersection lies on both lines, meaning that it is a possible solution for both equations. When the graphs of two equations never touch, there are no shared points and there are no possible solutions for the system. When the graphs of two equations lie on top of one another, they share all their points and every one is a possible solution.
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