Answer:
23.24 feet
Step-by-step explanation:
Use the pythagorean theorem: a² + b² = c², where a and b are legs of the right triangle and c is the hypotenuse.
In this situation, the ladder is the hypotenuse of the triangle, and the distance from the base of the building is the long leg.
Plug in the ladder length as c and plug in the distance from the base of the building as a:
a² + b² = c²
(6²) + b² = (24)²
36 + b² = 576
b² = 540
b = 23.24
So, the ladder reaches approximately 23.24 feet up the wall
Answer:
c.
Step-by-step explanation:
Answer:
-13, -5, 6, 35
Step-by-step explanation:
Answer:
Step-by-step explanation:
It's a matter of being consistent in a pattern:
Let a be a number. If a^(-3) is the first number, it's equal to 1 / a^3.
Next:
1 / a^2
1 / a^1
?? To fit into this pattern, a^0 must equal 1.
a^1
a^2
a^3
and so on.
Try this same exercise with a = 2:
2^(-2) = 1/4
2^(-1) = 1/2
?? This number has to be 1 to fit the pattern. 2^0 = 1. Note that each
term is 2x the previous term: 2(1/4) = 1/2; 2(1/2) = 1; 2(1) = 2; 2(2) = 4,
and so on. Again, 2^0 must = 1 to fit into this sequence.
2^1 = 2
2^2 = 4
