Answer:
1. F:32 C:0
2. F:212 C:100
3. F:70 C:30
4. F: 97 C: 36.5
Step-by-step explanation:
<h2>
Answer:</h2>
The equation that is used to model the length of ladder in terms of x is:

<h2>
Step-by-step explanation:</h2>
We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.
where x is the distance between the top of the ladder and the ground.
and (x-7) is the distance between the foot of the ladder and the wall.
Hence, using Pythagorean Theorem we have:

Hence, the answer is:

3n<50
n<50/3
The variable N represents a whole number.
For what values of n will the sum of n+3 be less than 50?
Tossing a coin for many different times does not change the probability of getting a head (or tail) for the next toss. This indicates that the events are independent events.
So, given that the coin is fair, the probability of showing a head on the next toss is 1/2 or 0.5.
This probability does not change for all toss.
Answer:
n = 2 + 2√3 and n = 2 - 2√3
Step-by-step explanation:
Let the number be n.
Then n² + 1 = 4n.
Rearranging this in proper quadratic format:
n² - 4n + 1
Here the coefficients are a = 1, b = -4 and c = 1.
Then the discriminant is b²-4ac, or (-4)²-4(1)(1) ), or 16 - 4, or 12.
By applying the quadratic formula, we find that the roots are:
- (-4) ± √12
n = ------------------
2
or n = 2 + 2√3 and n = 2 - 2√3