Answer:
30 trees
Step-by-step explanation:
Given the policy:
8 trees are cut down 48 trees will be planted
If homeowner is going to cut down five trees on his property how many trees will be planted
Since :
8 trees cut down = 48 planted
5 trees cut down = X
Cross multiply :
8 * X = 48 * 5
8X = 240
X = 240/8
X = 30
Hence, 30 trees will need to be planted
Answer:
- vertex (3, -1)
- y-intercept: (0, 8)
- x-intercepts: (2, 0), (4, 0)
Step-by-step explanation:
You are being asked to read the coordinates of several points from the graph. Each set of coordinates is an (x, y) pair, where the first coordinate is the horizontal distance to the right of the y-axis, and the second coordinate is the vertical distance above the x-axis. The distances are measured according to the scales marked on the x- and y-axes.
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<h3>Vertex</h3>
The vertex is the low point of the graph. The graph is horizontally symmetrical about this point. On this graph, the vertex is (3, -1).
<h3>Y-intercept</h3>
The y-intercept is the point where the graph crosses the y-axis. On this graph, the y-intercept is (0, 8).
<h3>X-intercepts</h3>
The x-intercepts are the points where the graph crosses the x-axis. You will notice they are symmetrically located about the vertex. On this graph, the x-intercepts are (2, 0) and (4, 0).
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<em>Additional comment</em>
The reminder that these are "points" is to ensure that you write both coordinates as an ordered pair. We know the x-intercepts have a y-value of zero, for example, so there is a tendency to identify them simply as x=2 and x=4. This problem statement is telling you to write them as ordered pairs.
Answer:
The reference angle is 
Step-by-step explanation:
The given angle is
The reference angle is the acute angle, that a given angle makes with the x-axis.
First let us make a sketch of the given angle. <em>See diagram in attachment.</em>
Let
be the reference angle of 
Then, from the diagram, we need to subtract
from
to get to
.
We can therefore write the following equation and solve for
.

We group like terms to get,

We collect LCM to get,

We simplify to get,

We divide through by 
to get,
The correct answer is D.
One of the basic equations in physics is Speed = Distance/Time. Thus,
Distance = Speed*Time
Time = 1 light-year * 365 days/yr * 24 h/day * 3,600 s/h = 31536000 seconds
Distance = (3×10⁸ m/s)*(31536000 s) = 9.4608×10¹⁵ meters
Convert meters to miles:
Distance = 9.4608×10¹⁵ m * 1 mile/1,609 m = 5.88×10¹² miles
Answer:7
explanation:
add all numbers
9 + 4 + 7 + 3 + 10 + 9 = 42
Then divide by the amt of #s u added so 6
good luck!