Answer:
x = 4 radical 3 / 3
Step-by-step explanation:
this is a 30-60-90 triangle
the side across from the angle 30 is L
the side across from the angle 60 is L√3
the side across from the angle 90 is 2L
we are given the side across from 60⁰ so we know that:
2 = L√3
we want to solve for L, so we must divide both sides by √3 (radical three)
2/√3 = L√3/√3
you would get 2/ √3 = L, because the radical three cancels out on the L side.
but you can't have a radical in the denominator, so you have to multiply 2/√3 by radical 3
2 times √3 and √3 times √3
you get 2√3/√9
radical nine can simplify
2radical3/3 or 2√3/3
we found L, but that would equal the thirty degree angle, not the 90, 90 = 2L
multiply the number infront of the radical by two and get
4√3/3
x=4 radical 3 divided by 3
Answer:
Step-by-step explanation:
B. x4 + 4x3 + x2 + 4x
Using proportions, it is found that it will take him 22.5 hours to walk the 45 dogs.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
He walks 3 dogs in 1 hour and 30 minutes, we means that the time in hours it takes for him to walk a dog is:
t = 1.5/3 = 0.5 hours.
Hence the time it will take him to walk 45 dogs is given by:
45 x 0.5 = 22.5 hours.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
8,905cm²
Step-by-step explanation:
Area= Length × Breadth
=137cm × 65cm
= 8,905cm²
Answer:
Rational number
Step-by-step explanation:
