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spayn [35]
3 years ago
9

Which expression represents rational numbers? Select all that apply

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer:

1. \sqrt{100} \sqrt{100}

2. 13.5 + \sqrt{81}

3. \sqrt{9} + \sqrt{729}

6. \frac{3}{5} + 2.5\\\frac{3+12.5}{5}\\\frac{15.5}{5}\\= 3.1

These four options are rational;


Step-by-step explanation:

1. \sqrt{100} \sqrt{100} equals to 10 * 10 = 100 which is rational

2. 13.5 + \sqrt{81} equals 13.5 + 9 = 22.5

3. \sqrt{9} + \sqrt{729} -- 3+27 = 30

6. \frac{3}{5} + 2.5\\\frac{3+12.5}{5}\\\frac{15.5}{5}\\= 3.1

Option 4 and 5 are irrational because they include  \sqrt{353}  and \sqrt{216} which are not a perfect square and their answers will be non recurring and non terminating decimal fraction.

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Evaluate the expression: (–2)2 + (–42) + (18 – 23).
marta [7]

Answer:

-51 (no options are matching)

Step-by-step explanation:

Given: (–2)2 + (–42) + (18 – 23).

we know, 2*2 = 4, and in integer multiplication if any negative integer is multiplied with positive integer, then the result will have a negative sign.

= -4 + (-42) + (18 – 23)

Here, we have open the brackets, and written the respective signs with the integers,

= - 4 - 42 - 5

now, we will perform the integer addition. Adding all the positives together & he negative numbers together

= -51

PS: It happens to be that none of the given options match with the correct answer. But, i have solved taking the expression, i hope it helps

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3 years ago
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4 years ago
Find the angle x (in degrees) that the wheelchair ramp makes with the ground.​
iogann1982 [59]

Answer:

x=175

Step-by-step explanation:

The sum of all the degrees in a triangle is 180. First, you have to rind what the third degree of the triangle is. We will call this y.

85+90+y=180

175+y=180

y=5

The floor is flat, so it will be 180 degrees, therefore, x+y=180. We can substitute 5 in for y, so 5+x=180.

So, x would be 175.

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Answer:

C

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One routine physical routine requires: 1/3 hours.

Number of routines can be completed = Total work hours / Time required for one physical routine

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In this case, we are unable to complete half a routine (0.5), so we will choose the highest possible whole number, in this case, its 10 routines.

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The graphs of f(x) and g(x) are shown below:
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Your Answer: G(x) = (x − 5)²

I just finished my semester exam, and this was one of the questions. I guessed on this question because I had no clue of what the answer was, and lucky me, I got the question right :D

Hope this helps y'all with your test :)

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