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n200080 [17]
3 years ago
12

An angle has a measure of 150° and a terminal side that intercepts the unit circle at (x,y). What are the values of x and y?

Mathematics
1 answer:
V125BC [204]3 years ago
4 0

Answer:

x = -√3 /2

y = ½

Step-by-step explanation:

x = cos 150°= -√3 /2

y = sin 150° = ½

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Delvig [45]

Answer:

After 1 second, the ball will reach a maximum height of 16 feet

Step-by-step explanation:

The height of the ball after t seconds: h(t) = -16t^2 + 32t

The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola

t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second

then

h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16

After 1 second, the ball will reach a maximum height of 16 feet

8 0
2 years ago
Today there are a total of six toll-free area codes: 800, 844, 855, 866, 877, and 888. Assume that all seven digits for the rest
Ludmilka [50]

Answer:

6 \times 10^{7}

Step-by-step explanation:

Total number of toll-free area codes = 6

A complete number will be of the form:

800-abc-defg

Where abcdefg can be any 7 numbers from 0 to 9. This holds true for all the 6 area codes.

Finding the possible toll free numbers for one area code and multiplying that by 6 will give use the total number of toll free numbers for all 6 area codes.

Considering: 800-abc-defg

The first number "a" can take any digit from 0 to 9. So there are 10 possibilities for this place. Similarly, the second number can take any digit from 0 to 9, so there are 10 possibilities for this place as well and same goes for all the 7 numbers.

Since, there are 10 possibilities for each of the 7 places, according to the fundamental principle of counting, the total possible toll free numbers for one area code would be:

Possible toll free numbers for 1 area code = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10^{7}

Since, there are 6 toll-free are codes in total, the total number of toll-free numbers for all 6 area codes = 6 \times 10^{7}

4 0
3 years ago
What is a event made up of two or more simple events
kondaur [170]

Answer: A compound event is the combination of two or more simple events (with two or more outcomes).

Step-by-step explanation:

4 0
3 years ago
Notes on isosceles triangles, base angles and notes on the diagonals thanks :D
rjkz [21]
Hey,
In isosceles triangles there r two equal sides .
Base angles is usually used for isosceles triangles ....
Diagonals are two lines which intersect each other...
8 0
3 years ago
What is the length of the diagonal, d, of the rectangular prism shown below?
denis-greek [22]
Wouldn’t it be 7*4/2? so the answer would be 14
4 0
2 years ago
Read 2 more answers
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