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2 years ago

Evaluate sin 5pi/4 Thank you

Mathematics

2 answers:

Verizon [17]2 years ago

8 0

Answer:

-sqrt(2)/2

Step-by-step explanation:

5pi/4 lies in the third quadrant with basic angle: 5pi/4 - pi = pi/4

sin(pi/4) = sqrt(2)/2

Since it's in quadrant 3, sin would be negative

sin(5pi/4) = -sqrt(2)/2

sqrt: square root

kondaur [170]2 years ago

3 0

Answer:

3.92699081699

Step-by-step explanation:

$\frac{5(3.14)}{4}\\$ =15.7/4

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8^2 x (2+6) / 4 solve

Softa [21]

Answer:

$8^2\times \frac{\left(2+6\right)}{4}$

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2 years ago

Parallelogram RSTU is rotated 180° clockwise

julia-pushkina [17]

Answer:

Two pairs of parallel sides

Step-by-step explanation:

The given transformation performed on parallelogram RSTU = 180° clockwise rotation

Given that a rotation is a form of rigid transformation, the shape and size of the preimage RSTU will be equal to the the shape and size of the image R'S'T'U'

Therefore, RSTU ≅ R'S'T'U' and R'S'T'U' is also a parallelogram with two pairs of parallel sides.

4 0

2 years ago

The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th

Reptile [31]

Answer:

The least number of items to produce is 41

Step-by-step explanation:

Average Cost

Given C(x) as the cost function to produce x items. The average cost is:

$\displaystyle \bar C(X)=\frac{C(x)}{x}$

The cost function is:

$C(x) = -20x+1681$

And the average cost function is:

$\displaystyle \bar C(X)=\frac{-20x+1681}{x}$

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

$\displaystyle \frac{-20x+1681}{x}\le 21$

Multiplying by x:

$-20x+1681 \le 21x$

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

$1681 \le 21x+20x$

$1681 \le 41x$

Swapping sides and changing the sign:

$41x \ge 1681$

Dividing by 41:

$x\ge 41$

The least number of items to produce is 41

8 0

2 years ago