Please help. For math class
1 answer:
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Answer:
Step-by-step explanation:
Given the two inequalities:
To graph them, first of all, let us write their corresponding equations:
We now find at least 2 points each which satisfy the equations to plot the graph.
Equation :
Putting x = 0, y = 1
Putting y = 0, x = .
Two points are (0, 1) and (, 0).
Equation :
Putting x = 0, y = -2
Putting y = 0, x = 1.
Two points are (0, -2) and (1, 0).
Now, let us plot them.
Let us take a point (1, 4) and check whether it satisfies the first inequality.
Which is true.
So, The shaded region will be <em>towards point (1,4).</em>
<em></em>
Let us take a point (1, 4) and check whether it satisfies the second inequality.
So, The shaded region will be <em>opposite to point (1,4).</em>
Please refer to the attached graph for the answer.
<em>No solution exists for them because there is no common shaded region</em>.
The surface are of the right cone is 176 sq.units. Option A) is the correct answer.
<u>Step-by-step explanation</u>:
<u>step 1</u> :
Radius of the cone, <em>r = 4</em>
Height or length of the cone,<em> h = 10</em>
<u>step 2</u> :
Total surface area of right cone = πrh + πr^2
= (π4
10) + ( π
4^2)
= 40π + 16π
= 56 π = 563.14
= 176 sq.units