-7÷x=19need your help
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Hi!
The equation to find the area of a triangle is...
(a = area
b = base
h = height)
Fill in the values that we already have.
Divide both sides by 1/2
1722 = 82*h
Divide both sides by 82.
1722/82 = 82/82*h
21 = h
The answer is B. 21 cm
Hope this helps! :)
The equation to find the area of a triangle is...
(a = area
b = base
h = height)
Fill in the values that we already have.
Divide both sides by 1/2
1722 = 82*h
Divide both sides by 82.
1722/82 = 82/82*h
21 = h
The answer is B. 21 cm
Hope this helps! :)
A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes
Domain x is number of hours
Range y is distance traveled
speed = 12 miles per hour
time = 45 minutes = = 0.75 hours
We know distance formula
Distance = speed * time
Distance = 12 * 0.75= 9 miles
Number of hours x is 0 to 0.75 hours
So domain is { }
Distance is 0 to 9 miles
So range is { }
Answer:
Step-by-step explanation:
We will prove by mathematical induction that, for every natural n,
We will prove our base case (when n=1) to be true:
Base case:
As stated in the qustion,
Inductive hypothesis:
Given a natural n,
Now, we will assume the inductive hypothesis and then use this assumption, involving n, to prove the statement for n + 1.
Inductive step:
Let´s analyze the problem with n+1 stones. In order to move the n+1 stones from A to C we have to:
- Move the first n stones from A to C (
moves).
- Move the biggest stone from A to B (1 move).
- Move the first n stones from C to A (
- Move the biggest stone from B to C (1 move).
- Move the first n stones from A to C (
Then,
.
Therefore, using the inductive hypothesis,
With this we have proved our statement to be true for n+1.
In conlusion, for every natural n,