Variables are taken from the first letter of the color, ex: green = g.

Given:
r = g
2r = b = y
Total =42

So then:
r+ r + 2r + 2r = 42
6r = 42
r = 7

y = 2r
y = 2(7)
14 of the 42 pencils were yellow.

7 0

3 years ago

Find the angle between the hands of a clock at 5:15<br><br> A 60<br> B 67.5<br> C 75

Viktor [21]

Answer:

Option B is correct.

67.5 degree

Step-by-step explanation:

To find the angle between the hands of a clock.

Given that:

Hands of a clock at 5 : 15.

We know that:

A clock is a circle and it always contains 360 degree.

Since, there are 60 minutes on a clock.

$\frac{360^{\circ}}{60 minutes} = 6^{\circ} per minutes$

so, each minute is 6 degree.

The minutes hand on the clock will point at 15 minute,

then, its position on the clock is:

$(15) \cdot 6^{\circ} = 90^{\circ}$

Also, there are 12 hours on the clock

⇒Each hour is 30 degree.

Now, can calculate where the hour hand at 5:00 clock.

⇒ $5 \cdot 30 =150^{\circ}$

Since, the hours hand is between 5 and 6 and we are looking for 5:15 then :

15 minutes is equal to $\frac{1}{4}$ of an hour

⇒ $150+\frac{1}{4}(30) = 150+7.5 = 157.5^{\circ}$

Then the angle between two hands of clock:

⇒ $\theta = 150.75 -90 = 67.5^{\circ}$

Therefore, the angle between the hands of a clock at 5: 15 is: 67.5 degree.

4 0

3 years ago

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