There are four sides
6.5 x 4 = 26
Given the radius r and the tangent line AB, the length of the line OA is 24 units
<h3>How to determine the length OA?</h3>
The radius r and the tangent line AB meet at a right angle.
By Pythagoras theorem, we have:
AB² = OA² + r²
So, we have:
24² = OA² + 7²
Rewrite as:
OA² = 24² - 7²
Evaluate
OA² = 527
Take the square root of both sides
OA = 23
Hence, the length of OA is 24 units
Read more about tangent lines at:
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Answer:
C) 24 adults
Step-by-step explanation:
Let A be the number of adults and C be the number of children.
If a ticket costs $8 per adult, we can express this as 8A
If a ticket costs $5 per child, we can express this as 5C
Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.
Our second equation would be A+C=40 since there are 40 people.
Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.
The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:
8A+5(40-A)=272
8A+200-5A=272
3A+200=272
3A=72
A=24
Therefore, there are 24 adults
Answer:
4 and 6
Step-by-step explanation:
First, let's find all the pairs that add up to 10.
- 1 + 9, 2 + 8, 3 + 7, 4 + 6, and 5 + 5
Next, we find the difference between the addends for each pair.
- 9 - 1 = 8
- 8 - 2 = 6
- 7 - 3 = 4
- 6 - 4 = 2
- 5 - 5 = 0
As you can, see the numbers that add to 10 and have a different of 2 is 4 and 6.
This is the transitive property :)
