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Aleksandr [31]
3 years ago
7

Graph the solution set of the inequality 1/4 x >= - 2

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

Answer:

-8 is one point and the arrow goes to 10

Step-by-step explanation:

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3 years ago
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)
Lisa [10]

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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4 years ago
There are 150 people in the library. If 60 of them are girls, what percent of the people in the library are girls?
Irina18 [472]

Answer:

40% are girls

Step-by-step explanation:

60/150=0.4=40%

5 0
3 years ago
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