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katen-ka-za
8 days ago
12

The point (Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, StartFraction StartRoot 2 EndRoot Over 2 EndFraction)

is the point at which the terminal ray of angle Theta intersects the unit circle. What are the values for the cosine and cotangent functions for angle Theta?
Mathematics
2 answers:
Leona [9.2K]8 days ago
8 0
The values of cosine Ф and cotangent Ф are and -1.
zzz [9K]8 days ago
4 0
The cosine and cotangent values of angle Ф are \frac{-\sqrt{2} }{2} and -1. When the terminal side of an angle intersects the unit circle at point (x, y), then: The x-coordinate corresponds to the cosine of the angle formed with the positive x-axis and the terminal side, while the y-coordinate corresponds to the sine of that angle. Depending on the signs of x and y coordinates, we can determine the quadrant in which the angle resides.
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Gael and Torin don't want to take the garbage out, but their mom said one of them had to. Gael suggests they flip 2 coins to det
Zina [9171]

Possible outcomes:

Heads Heads

Heads Tails

Tails Tails

Tails Heads

Probability of matching: 2/4 = 0.5

Torin should consent since the suggestion is equitable

3 0
3 days ago
21<br> 22<br> 01:39:07<br> The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54
PIT_PIT [9117]
The price for 3 sandwiches amounts to $18. Since the cost, c, of a ham sandwich directly correlates with the quantity, n, and is told that c equals $54 for 9 sandwiches, the cost per sandwich is $6. Multiplying $6 by 3 gives a total of $18.
5 0
3 days ago
In the fifth grade at Lenape Elementary School, there are 4/5 as many students who do not wear glasses as those who do wear glas
lawyer [9240]
Given:
There are 4/5 as many students who do not wear glasses as those who do.
60 students wear glasses.

Find the total number of students in the grade.

Calculate 60 * 4/5 = (60 * 4)/5 = 240 / 5 = 48 students who do not wear glasses.

Total students = 60 w/ glasses + 48 w/o glasses = 108 students.
6 0
4 days ago
Read 2 more answers
Two window washers start at the heights shown. (A: 21 ft high rising 8 in per second. The other is 50 feet high descending 11inc
Leona [9271]

To address this problem, let's start by formulating the general motion equation along the vertical direction.

This gives us:

h = \frac {1} {2} gt ^ 2 + vo * t + h0

Where,

  • g: gravitational acceleration
  • vo: initial velocity
  • h0: starting height

For the first individual:

h1 = \frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21

For the second individual:

h2 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50

When both individuals reach the identical altitude, the following holds:

h1 = h2\\

\frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50

Rearranging results in:

\frac {8} {12} * t + 21 = - \frac {11} {12} * t + 50

\frac {8} {12} * t + \frac {11} {12} * t = 50 - 21

\frac {19} {12} * t = 29

Solving for time:

t = 29 (\frac {12} {19})\\t = 18.31s

Result:

The two window washers reach the same height after 18.31 seconds.

6 0
1 month ago
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A child has a box full of colored building blocks. She will choose one block without looking. The odds against choosing a blue b
tester [8842]

(a) A child possesses a container filled with colored building blocks. She will select one block without looking. The odds against selecting a blue block are 4/7. What is the probability of selecting a blue block?

Answer:

The likelihood of selecting a blue block is 7/11.

Step-by-step explanation:

To find the probability of selecting a blue block,

Odds:

The odds of a given event is the ratio of the probability of that event occurring to the probability of its absence. This means it compares favorable outcomes to those that are unfavorably likely.

The odds of not selecting a blue block being 4/7 means that out of 11 scenarios, there will be 4 occasions when the block is not blue, and 7 when it is blue.

Thus, the probability of not selecting the blue block is 4/11.

Probability of selecting the blue block is the complement of 4/11 which equals 7/11.

(b) Amanda plays a role-playing game with her friends. She will roll dice to decide if her character accesses a treasure chest. The chance of her character unlocking this chest is 13/20. Determine the odds in favor of her character unlocking the treasure chest.

Answer:

The odds in favor of her character unlocking the treasure chest equal 13/7.

Step-by-step explanation:

The probability of Amanda's character unlocking the treasure chest is given as 13/20.

This indicates that in a total of 20 chances, there will be 13 instances where the character successfully opens the treasure chest, while the remaining 7 times, they will not succeed.

Favorable outcomes: 13

Unfavorable outcomes: 7

Consequently, the odds in favor of her character unlocking the treasure chest are 13/7.

7 0
6 days ago
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