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3 years ago

Select from the drop-down menus to correctly complete the proof.

Mathematics

2 answers:

Rufina [12.5K]3 years ago

4 0

1. rational

2. irrational

3. irrational

lilavasa [31]3 years ago

3 0

Answer:

Rational; irrational; irrational.

Step-by-step explanation:

a/3b is a rational number, as it is represented by a fraction and b ≠ 0. This means the first blank is "rational."

√5 is an irrational number. This means the second blank is "irrational."

Since we have an irrational number set equal to a rational number, this is a contradiction. This means our original assumption is wrong, and the number is irrational. This is the third blank.

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Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

Suppose 5 out of every 18 of the people who like to work out have a gym membership. At the same rate, in a group of 216 people,

Jlenok [28]

Answer:

60 people

Step-by-step explanation:

Set up a proportion:

$\frac{5}{18}$ = $\frac{x}{216}$

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7 0

3 years ago

6) Two boats set off from X at the same

lord [1]

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = $\frac{distance}{time}$

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

= 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

= 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

$a^{2}$ = $b^{2}$ + $c^{2}$ - 2bc Cos A