Answer:
<h2>The height is 3.43 centimeters, approximately.</h2>
Step-by-step explanation:
Notice that there are 16 pieces from the circle, which means each sector has an angle of
Where all sectors have equal area.
Now, the area of the whole circle is 
, if we use the formula of its area, we'll find the radius of the circle
Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.
To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.
Therefore, the height is 3.43 centimeters, approximately.
The solution is 
.
Solution:
Given inequality:
Divide by 7 on both sides.
The solution is .
The image of the graph is attached below.
Answer:
29) discriminant is positive
30) discriminant is 0
31) discriminant is negative
Step-by-step explanation:
the graph of a quadratic function y=ax^2 + bx + c is shown. Tell whether the discriminant of ax^2 + bx + c = 0 is positive, negative, or zero.
In the graph of question number 29 we can see that the graph intersects the x axis at two points
so the equation has 2 solutions.
When the equation has two solution then the discriminant is positive
In the graph of question number 30 we can see that the graph intersects the x axis at only one point
so the equation has only 1 solution.
When the equation has only one solution then the discriminant is equal to 0
In the graph of question number 30 we can see that the graph does not intersects the x axis
so the equation has 2 imaginary solutions.
When the equation has two imaginary solutions then the discriminant is negative
Answer:
12 and 7 meters
Step-by-step explanation:
The area is 84 square meters and the width is 5 meters less than the length. 12 is the length and 7 is the width. 7 is 5 less than 12, and 12*7=84.
The length is 12 and the width is 7
Answer:
D.) 6
Step-by-step explanation:
