Answer:
12 feet
Step-by-step explanation:
By Pythagoras theorem, a²+b²=c², where c represents the diagonal and a and b represents the other sides of a right angled triangle
As a flag is a rectangle, the two triangles cut would be right angled triangles
Therefore, a²+9²=15²
a²+81=225
a²=144
a=√144
a=12 feet
Answer:
x+y < 28
Step-by-step explanation:
1. Look at your variables: x is the first number and y is the second.
2. Know the limits: It says it has to be NO MORE than 28, so the inequality has to be less than (<) 28. And it says that the SUM of 2 numbers (in this case x and y), is no more than 28, so you know there's some addition between the two.
3. Write out your inequality: x+y < 28
The first one is 7/10 and the second one is 5/10
The best ticket deal are illustrations of linear equations
The ticket system is a better deal to the max ticket
<h3>How to determine the best ticket deal</h3>
From the complete question, we have the following summary:
Charges = $22 per person
Surcharge = $10 per transaction
Charges = $20 per person
Surcharge = $16 per transaction
Assume there would be only one transaction, the linear equations that represent the ticket deals are:
Ticket System: y = 22x + 10
Max Ticket: y = 20x + 16
The costs of ticket for two people in both deals are:
Ticket System: y = 22*2 + 10 = 54
Max Ticket: y = 20*2 + 16 = 56
By comparison;
54 is less than 56
This means that the ticket system is a better deal to the max ticket
Read more about linear equations at:
brainly.com/question/14323743
Answer:
x ≈ 32.3
Step-by-step explanation:
Using the sine ratio in the right triangle
sin48° =
=
( multiply both sides by x )
x × sin48° = 24 ( divide both sides by sin48° )
x =
≈ 32.3 ( to 1 dec. place )