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3 years ago

13

Determine the corresponding ordered pair of the point on the unit circle for 945°

1 answer:

daser333 [38]3 years ago

4 0

Answer:

The trick is to turn the 945 degrees angle into a manageable angle

945/360 = 2.625 we have an angle equal to 945-720 = 225 degrees, this is an angle located in the third quadrant with the functions of 45 degrees but sin is negative and cosine is negative etc.

The point has the coordinates ((-√2/2),(-√2/2))

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84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value

Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) $x^{-3/2}$

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

$x^{-3/2}=\frac{1}{x^{3/2} }$

And now, solving for x = 9 we have:

$\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} } =\frac{1}{27}$

b) $y^{4/3}$

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

$y^{4/3}=8^{4/3}=16$

c) $z^{-3/4}$

Using the same property we used in a) we have:

$z^{-3/4}=\frac{1}{z^{3/4} }$

And now, solving for z = 16 we have:

$\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}$

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3 years ago

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AnnyKZ [126]

Answer: There is not enough information to answer this question.

Step-by-step explanation:

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2 years ago

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For carolina's birthday her mom took her and her friends to a water park.Carolina mom paid 42.50 for 5 students tickets. What wa

Sophie [7]

Answer:

8.5 for each student ticket

Step-by-step explanation:

Simply divide the total cost 42.5 by the amount of students 5 to get your answer.

42.5 / 5 = 8.5

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2 years ago

Ms.banks walks at about 3 feet per second how many miles per day could she travel is she walked without taking a break?

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About 49.09 miles a day .

Step-by-step explanation:

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3 years ago

Willie and anjali each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Willi

Fiesta28 [93]

Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2

Step-by-step explanation:

Step 1

let day lilies be rep as d

and ivy be represented as i

So that The expression for what Willie spent on 12 day lilies and 4 pots of ivy = $116 be

12 d+ 4i = 116 ---- equation 1

and for Anjali spending $60 on 6 day lilies and 3 pots of ivy be

6d+ 3i = $60------ equation 2

Step 2 --- Solving

12 d+ 4i = 116 ---- equation 1

6d+ 3i = $60------ equation 2

Multiply equation 2 by (2) and subtracting equation 1 from it

12d+ 6i= 120

--12 d+ 4i = 116

2 i= 4

i = 4/2 = 2

TO find d, putting the value of i = 2 in equation 1 and solving

12d+ 4(2) = 116

12d= 116-8

12d= 108

d= 108/12= 9

Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2

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2 years ago