The backboard of the basketball hoop forms a right triangle with the supporting rods, as shown. Use the
1 answer:
Answer:
9.14 inches.
Step-by-step explanation:
From the question,
Assuming the diagram attached, is similar to diagram required to support the question,
From the diagram,
Applying pythagoras theorem
a² = b²+c²...................... Equation 1
Where a = 13.4 in, b = x in, c = 9.8 in.
Substitute these values into equation 1
13.4² = x²+9.8²
x² = 13.4²-9.8²
x² = 179.56-96.04
x² = 83.52
x = √(83.52)
x = 9.14 inches
Hence the distance between the rods is 9.14 inches
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Given inequalities are
and
Now we will graph both inequalities to get the common region which represents solution.
<u>Work for </u>
first we graph the line x+y=4 then shade the graph for inequality symbol
we can plug any random number for x and find y-value to get points
lets plug x=0 then we get:
x+y=4
0+y=4
y=4
so the point is (0,4)
Similarly we can find more point like (4,0).
Now graph both points and join both points by straight line.
Now we find direction of shading.
pick any test point which is not on that line x+y=4 say (0,0)
and plug it into orinal inequality
which is true.
True means shade in direction of test point. Otherwise we shade in opposite direction.
We will repeat same process for other inequality to graph that.
Hence final graph for the answer will be as shown in attached image.
Triangular region ABC is final answer.
