The length of AC is 8
Explanation:
Given that ABC is a right angled triangle.
The measure of angle A is and
<u>Length of AC:</u>
Using the trigonometric ratios, we have,
where and
Substituting the values, we have,
Multiplying both sides of the equation by AC, we get,
Multiplying both sides by , we get,
Simplifying, we get,
Thus, the length of AC is 8
To do this you need to multiply how many centimeters long the drawing is times the number of meters per centimeter used in the scaling.
12 x 250 = 3000
The measure of the fifth angle in the pentagon is 110°.
<h3>
Polygon</h3>
A polygon is a plane figure that has a number of straight line segments connected together to form a closed shape.
Types of polygon are triangle, quadrilateral, pentagon.
A pentagon has 5 sides and the sum of angles in a pentagon is 540°. Hence, let x represent the fifth angle:
x + 90 + 90 + 125 + 125 = 540
x = 110°
The measure of the fifth angle in the pentagon is 110°.
Find out more on Polygon at: brainly.com/question/1592456
Answer:
We have the system:
y > x^2 - 1
y < (-1/2)*x + 3
To find the solutions of this set we need to graph the solutions range of both sets, and see the intersection between these solution ranges.
How we do it?
Start with the first one.
First, we graph the equation:
y = x^2 - 1
Now because we are using the symbol ">" means that y is smaller than the thing at the right, then the graph of the equation will be with a dashed line (which means that the points on the line are not solutions) and we will shade all the region above the line
For the other inequality we do the same:
First we graph:
y = (-1/2)*x + 3
And because we have the symbol "<" we again use a dashed line, but this time we will shade all the region below the line.
Once we shaded both regions, the region where we have both shades will be the region of solutions for the system of inequalities.
You can see the graph below.