First you start by drawing a right triangle. the longest side is the length of the ladder (40ft) and will be represented by variable c. Label the vertical side as a and the horizontal side as b(24 ft).
we will use a^2 +b^2 =c^2 to find it. plug in the variables and it will be a^2 + 24^2 = 40^2 which simplifies to a^2 + 576 = 1600. you then isolate the variable by subtracting 576 from 1600. our new equation is a^2 = 1024. we take the sqrt of a^2 and 1024 so our final equation is a=32 ft. the answer is 32 feet.
Answer:
1,00000,00,00
Step-by-step explanation:
Answer:
0.333
Step-by-step explanation:
The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.
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The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...
6n -2 ≤ 1000
6n ≤ 1002
n ≤ 167
That is, 167 even numbers will also be excluded.
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The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.
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So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...
(1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)
