a ladder 10cm rest on a vertical wall of 8cm what is the distance of the vertical Wall from the Foot of the ladder
2 answers:
Hi there!
We can use the Pythagorean Theorem to solve:
Use the formula a² + b² = c² where:
"a" and "b" are the legs
"c" = Hypotenuse
The diagonal side, or the length of the ladder is 10cm, and one of the legs of the triangle is 8cm, therefore:
(8)² + b² = 10²
64 + b² = 100
Subtract 64 from both sides:
b² = 36
Take the square root of both sides:
√b² = √36
b = 6 cm. This is the distance of the wall from the foot of the letter.
Edit: Typo.
You might be interested in
Answer:
The probability is 1/2
Step-by-step explanation:
The time a person is given corresponds to a uniform distribution with values between 0 and 100. The mean of this distribution is 0+100/2 = 50 and the variance is (100-0)²/12 = 833.3.
When we take 100 players we are taking 100 independent samples from this same random variable. The mean sample, lets call it X, has equal mean but the variance is equal to the variance divided by the length of the sample, hence it is 833.3/100 = 8.333.
As a consecuence of the Central Limit Theorem, the mean sample (taken from independant identically distributed random variables) has distribution Normal with parameters μ = 50, σ= 8.333. We take the standarization of X, calling it W, whose distribution is Normal Standard, in other words
The values of the cummulative distribution of the Standard Normal distribution, lets denote it , are tabulated and they can be found in the attached file, We want to know when X is above 50, we can solve that by using the standarization
Answer:
Use the property of condensation of logarithmic function
Given,
