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3 years ago

A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second.

Mathematics

1 answer:

scoray [572]3 years ago

3 0

Answer:

It makes 360 / 60 = 6 revolutions per second. 6 revolutions is 12π radians.

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Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

The correct answer is option B. AA

Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

$\angle A = 27^\circ\\\angle B = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ$

Now, if we compare the angles of the two triangles:

$\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ$

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

$\triangle ABC \sim \triangle WXY$ by AA theorem.

So, correct answer is option B. AA

7 0

3 years ago

There were 237 people who went to a theater. Of those people, 127 arrived early and 68 arrived on time. The rest of the people a

True [87]

42 arrived late

You add 127 and 68 to get 195 then you subtract 237 to get 47.

3 0

2 years ago

Simplify: [4 + 6 x (5 - 2)] + 8 30 31 24 72

ludmilkaskok [199]

Answer: the answer i got is the 30

Step-by-step explanation:

so first you had to do the parentheses

(5-2)=3

[4+6 multiplied by 3] + 8

[4+18]+8

22+8

=30

6 0

3 years ago

Read 2 more answers

Could you show it step by step please and thank you

m_a_m_a [10]

1.To find the triangle area is base x height : 4.33 x 5=21.65
Perimeter : 5+5+5=15

2. 6•3=18+(3•2)=18+6=24=area
16=perimeter

3. Not sure

4. 12•17=204=area
Perimeter : 13+17+17=47

Hoped I helped!

8 0

3 years ago

1/3 kilogram to 2/3 of a foot

HACTEHA [7]

Answer: idk dont know need more info

Step-by-step explanation:

5 0

3 years ago