Ishwar pours sand into a bucket at a constant rate. The graph shows the total weight of the bucket and the sand over time. After
10 seconds, the total weight is 50 ounces. What is an equation of the line parallel to the line on the graph that passes through (4, 15)?
2 answers:
Answer:
Option C.
Step-by-step explanation:
If a line passes through two points and
, then the rate of change is
From the given graph it is clear that the line passes through the points (0,20) and (10,50). So, the slope of the lien is
The slope of two parallel lines are same. So, the slope of parallel line is 3.
The point slope form of a line is
The slope of parallel line is 3 and it passes through the point (4,15). So, the equation of parallel line is
Using distributive property
Add 15 on both sides.
The required equation is y=3x+3. Therefore, the correct option is C.
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<h2>Hello!</h2>
The answer is:
The height of the lightning rod is 27.4 feet.
<h2>Why?</h2>To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.
So, writing the equations we have:
We know that the angle of elevation from the base of the buildings is 36°
Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.
Using the information we have:
To the top of the building:
To the top of the lightning rod:
Now, isolating we have:
Also, we have that:
Therefore, if we want to calculate the height of the lightning rod, we need to do the following:
Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:
Rounding to the nearest foot, we have:
Hence, the answer is:
The height of the lightning rod is 27.4 feet.
Have a nice day!
The circumference of the circle is equal to the perimeter of the triangle, then the area of the circle is 12 square units. Option D is correct.
<h3>What is a circle?</h3>It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A triangle has sides that measure 2 units, 5 units, and 5.39 units.
The circumference of the circle is equal to the perimeter of the triangle. Then the radius of the circle will be
Then the area of the circle will be
The area of the circle is 12 square units.
More about the circle link is given below.