A ramp was built by a loading dock. The height of the loading platform is 4 feet. Determine the length of the ramp if it makes a 32-degree angle with the ground. (Round to the nearest tenth). The shape is a triangle. I got my answer as 7.5 by rounding and is it correct?
Answers
Answer:
Yes, it is correct
Step-by-step explanation:
Check attachment below:
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B.0 = (x – 3)(x – 3)
C.0 = 2.4(x – 2)(x + 2)
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if r is the solution
0=(x-r)^m
theone that fits that is B, the solution is x=3
B is answer
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Answer:
30 and 21
Step-by-step explanation:
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the word is means write an = sign
the phrase less than means - but reverse the order: product of 9 and x subtract 2
product means multiplication so 9 times x which is 9x
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a/b = 3
(24 - b) / b = 3...multiply both sides by b
(24 - b) = 3b
24 = 3b + b
24 = 4b
24/4 = b
6 = b
a + b = 24
a + 6 = 24
a = 24 - 6
a = 18
so ur numbers are 18 and 6
Answers
Final answer:
To find the triples of the 3 positive integers (x,y,z) that are products of 24, consider the prime factorization of 24 and distribute these prime factors among x, y and z. Remember to consider permutations.
Explanation:
The student is asking about triples of positive integers (x,y,z) whose product is 24. To find these triples, consider the prime factorization of 24, which is 2^3*3.
Triplet possibilities are created by distributing these prime factors among x, y, and z. For instance, (1,1,24), (1,2,12), (1,3,8), (1,4,6), (2,2,6), and their permutations.
When considering permutations, remember each triple can be ordered in 3! = 6 ways. Making each distinct triple six separate triples. For example, (1,1,24) becomes [(1,1,24), (1,24,1), (24,1,1), (1,24,1), (1,1,24), (24,1,1)]. Repeat this process for all the distinct triples.
To get the total number of triples, count all the distinct permutations. Keep in mind the triple where all numbers are equal, such as (2,2,6), should be counted only once, as its permutations do not produce distinct triples.
Learn more about integer triples here:
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