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2 years ago

The terminal side of ∅ in standard position contains the point (-4, -2). Find the exact value for cot∅.

Mathematics

1 answer:

iogann1982 [59]2 years ago

4 0

<h3>Answer: C) 2</h3>

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Work Shown:

cot(theta) = cos(theta)/sin(theta)

cot(theta) = x/y

cot(theta) = -4/(-2)

cot(theta) = 2

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at shop and shop ,shaquana buys 3 pounds of squash and 2 pounds of eggplants and pays $2.85.then ,evelyn buys 4 pounds of squash

Montano1993 [528]

Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.

Let x represent the cost of each pound of squash and y represent the cost of each pound of eggplant.

3 pounds of squash and 2 pounds of eggplants cost $2.85. Hence:

3x + 2y = 2.85 (1)

4 pounds of squash and 5 pounds of eggplants cost $5.41. Hence:

4x + 5y = 5.41 (2)

Solving equation 1 and 2 simultaneously gives:

x = 0.49, y = 0.69

Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.

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2 years ago

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2 years ago

Based on housing data below which equation can be used to calculate fair housing prices?

VMariaS [17]

Answer:

B. y = 0.097x + 11.142

Step-by-step explanation:

In order to find the best equation to descibe the housing price, we have to calculate the slope of the line first.

The equation of the line can be written as

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where m is the slope and q the y-intercept.

In order to have the most accurate estimate for the slope, we use the first point and the last point, that are:

(1900, 196)

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The slope of the line is calculated as:

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2 years ago

The sum of Sally and Beth's age is 60. Six years ago, Sally was 3 times as old as Beth. What are their present ages?

andrew-mc [135]

It's quite simple. Look:

Lets let S- be the age of Sally and B- can be the age of Beth

S+B=60
S-6=3(B-6)

S-6=3B-18
S=3B-18+6
S=3B-12

3B-12+B=60
4B=60+12
4B=72
B=72/4
B=18

B=60-18
B=42

The ages are (B)18 and (S)42

Hope this helps!! :)

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2 years ago