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Rasek [7]
3 years ago
13

Find the terminal point on the unit circle determined by 7pi//6 radians?

Mathematics
1 answer:
Anit [1.1K]3 years ago
4 0
\frac{7 \pi}{6} =  \frac{7*180}{6} = 7*30 = 210

210 we can write it as 210 = 180 + 30.
So 210 has a reference angle  of 30 degree in third quadrant.

So x co-ordinate of terminal point is cos(210) = \frac{- \sqrt{3} }{2}

y co-ordinate of terminal point is sin(210) = \frac{-1}{2}

So the terminal point is ( \frac{- \sqrt{3} }{2} ,  \frac{-1}{2} )
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The circumference of jj's basketball is 29.6 inches. Will it go through the basket that is 10 inches in diameter?
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Step-by-step explanation:

circumference of jj's basketball = 29.6 inches

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Because

circumference of jj's basketball < Circumference of basket

Therefore ball will go through the basket.

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Answer:

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Step-by-step explanation:

3x - 9 if x = 3

Substitute:

3(3) - 9 =

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5 0
3 years ago
A B C D and F are questions about the picture please help!!
Lyrx [107]
I'm going to separate this into sections so it makes more sense for you to read. For the problems with π where you have to round, ask your teacher where to round, unless your textbook specifies it:

A – 100 cm^2

To calculate area of squares, you multiply l • w. It's a square, so all sides are equal, and since we know that one side = 10 cm, the area is 10 • 10 = 100

B – πr^2         (not sure if the r shows up very well, so I'm retyping it in words - pi • radius squared)

C – 25π cm^2 or an approximate round like 78.54 cm^2 (ask your teacher about this – it could be to the nearest tenth, hundredth, etc.)

To find the area of a circle, you must follow the formula πr^2. In this case, the diameter is 10. The radius is half the diameter, so to substitute the values you must find 10 ÷ 2 = 5. So the radius is 5 cm. From there you can substitute r for 5, ending up with π • 5^2.    5^2 = 25, so the area is 25π, or about 78.54, depending on where the question wants you to round.

D – An approximate round (to the nearest hundredth it is 21.46 cm^2)

To find the area of the shaded region, just subtract the circle's area from the square's area, or 100 – 25π ≈ 21.46. Again, though, ask your teacher about where to round, unless your textbook specifies it.

E – dπ      (diameter • pi)

F – 10π cm^2 or an approximate round like 31.42 cm^2

The diameter is 10. 10π ≈ 31.42

Hope this helps!
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3 years ago
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