Answer:
volume of cone = 12.56 cubic units
Step-by-step explanation:
Volume of cone = 1/3 π r² h
r = 2
h = 3
then
V= 1/3 3.14 * (2) ² 3
= 12.56 cubic units
Given:
The inequality is:

To find:
The domain and range of the given inequality.
Solution:
We have,

The related equation is:

This equation is defined if:


In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.
So, the domain of the given inequality is x>-3.
We know that,



The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.
So, the domain of the given inequality is y>1.
Therefore, the correct option is A.
Answer:
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Step-by-step explanation:
<em>Your question is incomplete without an attachment (See attachment)</em>
Required
Determine the area of the shaded part
From the attachment;
<em>Assume that the shaded portion is closed to the right;</em>
<em>Calculate the Area:</em>
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<em>Next;</em>
<em>Calculate the Area of the imaginary triangle (on the right)</em>
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<em>Lastly, calculate the Area of the Shaded Part</em>
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<em>Hence,</em>
<em>The area of the shaded part is 72in²</em>
Answer: -21m+28
Step-by-step explanation:
-7(3m-4)
-7* 3m = -21m
-7*-4= 28
Triangles ABC and MNO are similar:
1.) same shape-different size
2.) corresponding angles are equal-both triangles are isosceles triangles.
3.) corresponding sides are in the same ratio 12/7.5=8/5=1.6