Answer:
7 units long
Step-by-step explanation:
We are given a right triangle ABC
- AB = 25 units
- BC = 24 units
We are required to determine the length of AC
- We are going to use the Pythagoras theorem;
- According to the theorem, if a and b are the legs of a right triangle and c is the hypotenuse, then;
a² + b² = c²
In this case;
AB is the hypotenuse and BC is one of the legs of the triangle;
Therefore;
AB² = BC²+AC²
Rearranging the formula;
AC² = AB² - BC²
= 25² - 24²
= 625 - 576
= 49
AC = √49
= 7
Thus, AC is 7 units long
Option 1 : -22
using formula
(a + b )(a - b ) = a^2 - b^2
(√10 + 2√8) (√10 - 2√8)
= (√10)^2 - (2√8)^2
= 10 - 2×2×8=10-32
= -22
2nd question answer is option 3
241 + 800 = 1041
247 + 794 = 1041
Children’s tickets are $4, adult tickets are $14
Explanation:
4a+6c=80
If they made $4 more dollars on the second day than the first by selling one extra child ticket then we know a child’s ticket is $4 per ticket.
4a+6*4=80
4a+24=80
4a=56
14=a
So each adult ticket costs $14.
You can check by filling in $14 and $4 for each equation.
4*14+6*4=80
4*14+7*4=84
Answer:
16. (80)(60) = 4800
17. (500)(600) = 300000
18. (700)(800) = 560000 a). high
Step-by-step explanation: