We can assume that the point the ladder creates with the ground and building is a triangle. You can use the Pythagorean theorem to solve this.
A^2 + B^2 = C^2
The ladder is C, and the building can act as A or B, so for the purpose of this explanation, I’ll make it A.
11^2 + B^2 = 14^2
Figure out the squares
121 + B^2 = 196
Subtract 121 from both sides
B^2 = 75
Square root B^2 and 75
B = 5 root3
1)5
2)1
3)7
4)9
When you need to find the blank and get a explanation you should you solve for x calculator it’s easier that way
Answer:
B. a + s = 15
6a + 4s = 76
Step-by-step explanation:
The two equations you want to write are for the two resources, tickets and dollars. We want to know the numbers of adult and senior tickets, so we assign the variables "a" and "s" to those numbers, respectively. We need to keep the meaning of these variables in mind as we write the equations.
a + s = 15 . . . . the sum of the numbers of tickets is 15 (resource = tickets)
The amount spent for tickets of a given type will be the number of tickets of that type, multiplied by the cost of tickets of that type. Then 6a represents the amount spent on adult tickets ($6 each for "a" number of tickets).
6a +4s = 76 . . . the total amount Beth spent on tickets (resource = dollars)
In summary, the two equations are ...
- a + s = 15
- 6a +4s = 76 . . . . . . matches choice B
_____
Beth bought 8 adult tickets and 7 senior tickets.
