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LUCKY_DIMON [66]
3 years ago
9

The greatest common factor of 30, 48, and 60 is?

Mathematics
2 answers:
Marizza181 [45]3 years ago
8 0

Answer:

6

Step-by-step explanation:

Because 6x5 is 30 and 6x8 is 48 and 6x10 is 60

Natali5045456 [20]3 years ago
5 0

Answer:

6

Step-by-step explanation:

6 goes in 30 5 times.

into 48 six times.

into 60 ten times.

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On an interval of [0, 2π), can the sine and cosine values of a radian measure ever be equal? If so, enter the radian measure(s)
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Answer:

Yes, they are equal in the values (in radians):

π/4, 5π/4

If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included

Step-by-step explanation:

Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).

The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.

If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.  

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Philip and Kevin are hoping to earn enough money to buy concert tickets for a show that costs $225 her concert tickets. Philip a
Zigmanuir [339]

Answer:

Kevin is going to be able to have enough money for the concert the fastest

Philip needs at least 4 weeks

Kevin needs at least 3 weeks

Step-by-step explanation:

<u>Philip</u>

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Let's call x to the number of weeks Philip needs to reach $225.

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x = 180/52.5

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Let's call y to the number of weeks Kevin needs to reach $225.

67.5*y + 30 = 225

67.5*y = 225 - 30

y = 195/67.5

y = 2.9

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