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den301095 [7]
2 years ago
10

Questione Simplify Cosa + 2Cos(a +240")​

Mathematics
1 answer:
melamori03 [73]2 years ago
7 0

Step-by-step explanation:

\cos(a)  + 2 \cos(a + 240)

\cos(a)  + 2 \cos(a)  \cos(240)  -  \sin(a)  \sin(240)

\cos(a)  + 2( -  \frac{ \cos(a) }{2}  +   \frac{ \sqrt{3} }{2}   \sin(a) )

\cos(a)  -  \cos(a)  +  \sqrt{3}  \sin(a)

\sqrt{3}  \sin(a)

If you graph the new identity, and the og identiy, they will be conciding graphs, so they are the same identity.

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6. You begin work at 8:30 am. You take an unpaid lunch break from 11:45 am to 12:30 pm
STALIN [3.7K]

Answer:

7 hours 15 minutes

7.25 hours

Step-by-step explanation:

Break from 11:45 am to 12:30 pm = 45 minutes

Two 15-minute unpaid coffee breaks during the day = 30 minutes

Total break hours = 45 minutes + 30 minutes

= 1 hour 15 minutes

Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes

How many hours are you paid?

Total hours paid = Total work day hours - Total unpaid break hours

= 8 hours 30 minutes - 1 hour 15 minutes

= 7 hours 15 minutes

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3 years ago
Mia found the area of a polygon The area is 32 square cm.
solniwko [45]

Answer:

Only the isosceles trapezoid has an area of 32 cm².

Step-by-step explanation:

Let's calculate the area of each polygon.

For the two triangles we have:

A_{t} = \frac{bh}{2} = \frac{2 cm*4 cm}{2} = 4 cm^{2}

This polygon does not have an area of 32 cm².

For the rectangle we have:

A_{r} = bh = 6 cm*4 cm = 24 cm^{2}

This polygon does not have an area of 32 cm².

For the rectangle trapezoid we have:

A_{rt} = A_{t} + A_{r} = (4 + 24) cm^{2} = 28 cm^{2}

So, this polygon does not have an area of 32 cm².

Finally, for the isosceles trapezoid:

A_{it} = A_{t}*2 + A_{r} = (4*2 + 24) cm^{2} = 32 cm^{2}

This polygon does have an area of 32 cm².

   

Therefore, only the isosceles trapezoid has an area of 32 cm².

I hope it helps you!                              

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Answer:

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Step-by-step explanation:

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