Answer:
Step-by-step explanation:
This is a question that uses the Pythagorean Theorem.
a = 35 feet
b = x which is the height of the tree.
c = 3*x + 1 so we are trying to find x. Substitute into a b and c
a^2 + b^2 = c^2
35^2 + x^2 = (3x + 1)^2
35^2 + x^2 = 9x^2 + 6x + 1 Subtract x^2 from both sides.
35^2 = 8x^2 + 6x + 1 Subtract 35^2 from both sides.
0 = 8x^2 + 6x + 1 - 35^2
0 = 8x^2 + 6x - 1224
Does this factor?
(x + 12.75)(x - 12)
x - 12 = 0 is the only value that works.
x = 12
The tree is 12 feet high.
Note: I used the quadratic formula to solve this.
Answer:
0.220 L
Step-by-step explanation:
One liter is 1000 mL, so 2,220 mL is 2.220 L. Subtracting the 2 L on hand gives the additional amount required:
2.220 L - 2 L = 0.220 L
_____
The nice thing about metric units is that conversion factors are often powers of 10, so only movement of the decimal point is required. It can be worthwhile to become familiar with the SI prefixes.
Answer:
1.x=7, 2.x=7, 3.x=7, 4.x=1, 5.x=20, 6.x=9, 7.x=100, 8.x=9
Step-by-step explanation:
hope this helps :<)
Answer:
And replacing we got:
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
For this case our random variable is given by:

For this case we want this probability:
And replacing we got:
Answer:
10√2
Step-by-step explanation:
H²= 10² + 10²
H²= 200
H= √200
H= 10√2