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Viktor [21]
3 years ago
8

In which quadrants does sin and cos have opposite signs.

Mathematics
1 answer:
Romashka [77]3 years ago
8 0
Quadrants 2 and 4 because in quadrant 2, cosine is negative and sin is positive, while in quadrant 4, cosine is positive and sin is negative
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Answer:

by dividing it= 4/11

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3 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:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

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.

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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
3 years ago
The ratio of the heights of two similar pyramids is 3:2. The volume of the larger pyramid is 135 cm3. What is the volume of the
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Step-by-step explanation:

To find the distance between L and Y find the difference in the x and y coordinates then square them and add them to find their square root.

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12^2 + 9^2 = d^2   where d is the distance

144 + 81 = d^2

225 = d^2

d= \sqrt{225}  

d= 15

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3 years ago
To determine the number of square centimeters in 8 square inches, multiply 8 by 6.45. true false
liraira [26]
The answer would be true

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