What is the area of the polygon given below

UNO [17]

Ok so we know that student tickets cost $5, and adult tickets cost $8. We also know that the total no. of tickets sold was 150.

Let's make the amount of student tickets sold be S, and the no. of adult tickets sold be A.

We know that tickets sales amounted to $1,020, so:
8A + 5S = 1020
And:
A + S = 150. Multiply this by 5;
5A + 5S = 750

When you subtract the two equations;
(8A+5S) - (5A+5S) = 1020-750
So 3A = 270
A = 90
So 90 adult tickets were sold.
S = 150 - 90
= 60
So 60 student tickets were sold (although you don't need this as part of your answer)

Hope this helped

4 0

2 years ago

how can you use the sine and cosine ratios and their inverses in calculations involving right triangles

Marysya12 [62]

Answer:

Step-by-step explanation:

I will show you by example. For the sin ratio, we have that the sin of the reference angle is equal to the side opposite the angle over the hypotenuse of the right triangle. We use this example for finding the ratio, knowing the angle:

$sin(60)=.866025$ found on your calculator. Because this is a special angle in a right triangle, we can also say, by looking at a 60 degree reference angle that the side across from the angle measures square root of 3, and the hypotenuse measures 2. So in terms of a radical,

$sin(60)=\frac{\sqrt{3} }{2}$

If we don't know the angle, we use the 2nd button on our calculator to find it. For example, if our problem looked like this:

$sin\theta=\frac{1}{2}$ ,

we are asked what angle has a sin ratio of 1/2. We find this angle by pressing the 2nd button on our calculator, then the sin button and you will see this on your screen:

$sin^{-1}($

Enter either a .5 or a 1/2 after that open parenthesis and hit enter and you'll get the angle measure. That's how you use the inverses to solve for missing angles.

3 0

3 years ago

The diameter of circle X is 15 centimeters. The diameter of circle Y is 20 centimeters. Which measurement is closest to the diff

valina [46]

The difference between the circumference of circle X and circumference of circle Y is 5π cm.

<h3>What is circumference of a circle?</h3>

This is the distance round a circle.

The circumference of circle X is calculated as follows;

$C_X = \pi d\\\\
C_X = 15\pi \ cm$