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3 years ago

What are the graphs of y = sin x and y = csc x in the interval from -2pi to 2pi?

Mathematics

2 answers:

Ratling [72]3 years ago

8 0

The graphs are attached.

ololo11 [35]3 years ago

7 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y=sin(x)$

$y=csc(x)$

Using a graphing tool

The graph both functions in the interval $-2\pi \ to\ 2\pi$ in the attached figure

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Convert 37/6 to a mixed number. a. 5 5/6 b. 6 5/6 c. 6 1/6 d. 6 2/3

OlgaM077 [116]

The best way to explain it is that 37 ÷ 6 is 6 remainder 1 so the answer is C) 6 1/6

5 0

2 years ago

Find the distance between the two points rounding to the nearest tenth (if necessary).

vovangra [49]

Answer: 10.3

Step-by-step explanation:

7 0

2 years ago

M is the midpoint of CD. Given the coordinates of one endpoint C(10,-5) and the midpoint M(4, 0), find the coordinates of the ot

mash [69]

Answer:

D(-2, 5).

Step-by-step explanation:

We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).

And we want to determine the coordinates of D.

Recall that the midpoint is given by:

$\displaystyle M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)$

Let C(10, -5) be (x₁, y₁) and Point D be (x₂, y₂). The midpoint M is (4, 0). Hence:

$\displaystyle (4, 0) = \left(\frac{10+x_2}{2} , \frac{-5+y_2}{2}\right)$

This yields two equations:

$\displaystyle \frac{x_2 + 10}{2} = 4\text{ and } \frac{y_2 - 5}{2} = 0$

Solve for each:

$\displaystyle \begin{aligned}x_2 + 10 &= 8 \\ x_2 &= -2 \end{aligned}$

And:

$\displaystyle \begin{aligned} y_2 -5 &= 0 \\ y_2 &= 5\end{aligned}$

In conclusion, Point D = (-2, 5).

5 0

2 years ago

Classify each pair of angles as Complementary, Supplementary or neither.

stellarik [79]

Answer:

Step-by-step explanation:

1. Supplementary

2. complementary

3. neither

4. These two are vertically opposite so neither.

5. Supplementary

6. They add to 90 so they are complementary

7. They add to 180 so they are supplementary.

8. These 2 are equal and vertically opposite. They are neither for this exercise.

9. Complementary: they add to 90.

8 0

2 years ago

In a horse race with 5 horses, you make a bet by predicting the ranking of all 5 horses. Suppose you place your bet at random. W

lapo4ka [179]

Answer:

P( top two horses are predicted incorrectly in incorrect order)

= $\frac{1}{2}$

Step-by-step explanation:

In the horse race the outcome can be predicted in 5! = 120 ways.

Now suppose the top two horses were predicted incorrectly in incorrect order. Now, the top horse can be predicted incorrectly in 4 ways.

Suppose the top horse was predicted to be in k-th position where k = 2, 3 ,4,5

so the second horse can be predicted to be in place from 1 to (k - 1)

So, the top two horses can be predicted incorrectly in incorrect order

in $\sum_{k =2}^{5}(k - 1)$ = 10 ways

and for each prediction of the two the remaining horses may be predicted in 3! = 6 ways.

Hence ,

P( top two horses are predicted incorrectly in incorrect order)

= $\frac{6 \times 10}{120}$

= $\frac{1}{2}$

8 0

2 years ago