Question 7 the length of a shadow of a building is 29 m . the distance from the top of the building to the tip of the shadow is
1 answer:
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Step-by-step explanation:
In the given problem, there are two plans that can be represented with a linear function.
<h2>Plan A: </h2>A = total monthly cost of Plan A for every <em>x </em>number of movies that Sadie watches per month
Slope: $3 = The additional cost for every x number of movies watched per month
Y-intercept: $21 = The monthly cost of Plan A
Combining these elements together, we can establish the following linear function: A(x) = 3x + 21
<h2>Plan B: </h2>B = total monthly cost of Plan B for every <em>x </em>number of movies that Sadie watches per month
Slope: $1.50 = The additional cost for every x number of movies watched per month
Y-intercept: $27 = The monthly cost of Plan B
Combining these elements together, we can establish the following linear function: B(x) = 1.5x + 27 or .
In order to graph Plan A, start with plotting the y-intercept, (0, 21). The <u>y-intercept</u> is the point on the graph where it crosses the y-axis. Then, use the slope, m = 3 (rise 3, run 1), to plot the other points on the graph.
<h3><u>Plan B:</u></h3>Similarly for Plan B, start with plotting the y-intercept, (0, 27).
Then, use the (rise 3, run 2), to plot the other points on the graph.
Attached is the graphed linear functions, A(x) and B(x). The two lines intersect at point, (4, 33), which means that the total cost of Plans A and B will be the same at $33.
<h3><u>Interval of movies watched</u>: </h3>The attached graph also shows that when 0 ≤ <em>x</em> < 4, Plan A is <em><u>cheaper</u></em> than Plan B. The interval notation is: [0, 4).
This implies that when Sadie watches 0 - 4 movies per month, she will pay lesser in Plan A than Plan B.
Answer:
The height of deepness of submarine is 424.1 feet
Step-by-step explanation:
Given as :
The angle at which submarine drives of the surface of water = Ф = 13°
The speed at which submarine travel = s = 760 feet per minute
Let The height of deepness of submarine = h feet
The time taken to reach that deepness = t = 5 minutes
<u>According to question</u>
The height of deepness of submarine =
i.e h × cos(90 - Ф) =
Or, h × Sin(Ф) =
Or, h × Sin(13°) = 95 feet
Or, h × 0.224 = 95 feet
∴ h =
i.e h = 424.10 feet
So, The height of deepness of submarine = h = 424.10 feet
Hence, The height of deepness of submarine is 424.1 feet Answer