at a concert, 2/5 of the people were men.there were 3 times as many women as children. if there were 45 more men than children h
1 answer:
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Holly's claim is correct, while Joe's claim is incorrect
<h3>Inequality</h3>
Inequalities are used to represent unequal expressions
<h3>Expressions</h3>The inequality expression is given as:
The inequality sign in the given expression is <
This represents less than
This means that;
All values of y are less than the values of x
Less than means that:
- The inequality has a dotted line
- It is shaded down
Hence, Holly's claim is correct
Read more about inequalities at:
3. The area of a circle is
This means that the "r" is the radius and in this case it is 5 in.
4. The circumference of a circle is :
This means:
5. We know that the two sides are 5 in. and the angle in the center for both triangles is 90 degrees. A triangle is always 180 degrees in total so we can say that the other two angles must add up to 90 degrees and they are equal so; 90/2 = 45 degrees.
This means that the other two angles are 45 degrees each.
We can use some trigonometry to solve for the missing side;
cos(theta) = adjacent/ hypotenuse
hypotenuse = adjacent / (cos(theta)) .... hypotenuse = 5/ (cos(45)) ... hypotenuse = 7.07
Half of that is 3.535
Area of a triangle = bh/2 .... (7.07 * h)/2
sin(45) = opposite /5 .... 5sin(45) = opposite = 3.54
(3.54 * 7.07) / 2 = 12.5