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3 years ago

Find the terminal point on the unit circle determined by 5pi/4 radians

Mathematics

1 answer:

zimovet [89]3 years ago

7 0

The terminal point represented by P(x,y), is the coordinate where a certain point lies. Given is 5pi/4 radians - this will be our angle.

Evaluate the values of x and y using sin θ and cos θ

x = cos (5pi/4)
x = -√2/2

y = sin (5pi/4)
y = -√2/2

Therefore, (x,y) is (-√2/2, -√2/2)

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The cost of K-12 education per student was $2200 in 1978 and increased to $10,300 in 2008. (Source: Department of Education). (a

kobusy [5.1K]

Answer: $C=270x+2200$

Step-by-step explanation:

Given

Cost per student in the year 1978 is $2200

The cost increases to $10,300 in 2008

Suppose $C=mx+a$ is the linear equation defining the cost per student after x years

Substitute the value for 1978

$\Rightarrow 2200=m(0)+c\\\Rightarrow c=2200$

After 30 years it becomes

$\Rightarrow 10,300=m(30)+2200\\\Rightarrow 30m=8100\\\Rightarrow m=270$

Thus, the linear equation becomes

$\Rightarrow C=270x+2200$

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2 years ago

An item has increased by<br> 23% to £58.<br> What was the original<br> price?

yKpoI14uk [10]

Answer:

The answer is 44.66

Step-by-step explanation:

Multiply 58 by 0.23. This will give you 13.34. Next, you subtract this from 58 to get your original price.

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3 years ago

Does the function model exponential growth or decay?<br> h(t) = 0.25 · 1.56

boyakko [2]

Answer:

this function model grows.

Step-by-step explanation:

The value of b, 1.56, is greater than 1.

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3 years ago

HELP PLEASE Two expressions that are equivalent to 4(6j+9+2j)

mr Goodwill [35]

1) 4(8j + 9)

2) 24j + 36 + 8j

Is this what you are looking for????

6 0

3 years ago

Read 2 more answers

What is the image of the point (-7, 4) after a rotation of 180° counterclockwise about the origin?

tia_tia [17]

Answer: (7, -4)

Concept:

For each rotation angle, there is a specified rule that could be applied. Please refer to the attachment below for the list of rotation rules.

Solve:

Given point = (-7, 4)

Given rotation rule = (x , y) ⇒ (-x, -y)

(-7, 4) ⇒ (7, -4)

Hope this helps!! :)

Please let me know if you have any questions

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2 years ago