10. The numbers —12, —7, —2, 3... follow a pattern. What are the next three numbers in this pattern? 7, 11, 16 5, 10, 15 2, 7, 1
1 answer:
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Answer:
2) 162°, 72°, 108°
3) 144°, 54°, 126°
Step-by-step explanation:
1) Multiply the equation by 2sin(θ) to get an equation that looks like ...
sin(θ) = <some numerical expression>
Use your knowledge of the sines of special angles to find two angles that have this sine value. (The attached table along with the relations discussed below will get you there.)
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2, 3) You need to review the meaning of "supplement".
It is true that ...
sin(θ) = sin(θ+360°),
but it is also true that ...
sin(θ) = sin(180°-θ) . . . . the supplement of the angle
This latter relation is the one applicable to this question.
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Similarly, it is true that ...
cos(θ) = -cos(θ+180°),
but it is also true that ...
cos(θ) = -cos(180°-θ) . . . . the supplement of the angle
As above, it is this latter relation that applies to problems 2 and 3.
Answer:
8 turtles
Step-by-step explanation:
Each of Liam's sea turtle sculpture weighs 3\8 pounds and he ships them in a wooden box that weighs 2 pounds.
The weight of the box filled with the sea turtles is 5 pounds.
This means that the weight of the sea turtles in the wooden box is:
5 - 2 = 3 pounds
To find the number of sea turtles in the box, we simply divide the total weight of the turtles in the box by the weight of each turtle. That is:
= 8 turtles
There are 8 turtles in the box.