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MakcuM [25]
3 years ago
13

If sin theta = -5/7 , which of the following are possible?

Mathematics
2 answers:
Sav [38]3 years ago
5 0

Solution:

we are given that

sin \theta=-5/7

As we know that

cos \theta =\sqrt{1-sin^2 \theta}  \\

Substitute the value we get

cos \theta=\sqrt{1-(\frac{-5}{7})^2}  \\
\\
cos \theta=\sqrt{1-(\frac{25}{49})}  \\
\\
cos \theta=\sqrt{(\frac{24}{49})} =\frac{\sqrt{24}}{7}\\

Since sec \theta=\frac{1}{cos \theta}\\

So here sec \theta=\frac{7}{\sqrt{24}}\\

As we know that

tan \theta=\frac{sin \theta}{cos \theta}\\
\\  \text{Substitute the values we get}\\
\\
tan \theta=\frac{-5/7}{\frac{\sqrt{24}}{7}}\\
\\
tan \theta=\frac{-5}{\sqrt{24}}\\

Hence the correct option is C.

aleksklad [387]3 years ago
5 0

It is given that

sin \theta = \frac{-5}{7}

And according to pythagorean identity, we will get

cos \theta = \pm \sqrt{1-sin^2 \theta}

Substituting the value of sin theta, we will get

cos \theta = \pm \sqrt{1- \frac{25}{49}}
\\
cos \theta = \pm \frac{\sqrt{24}}{7}

and sec theta is the reciprocal of cos theta.

SO possible values of sec theta are

sec \theta = \pm \frac{7}{ \sqrt{24}}

And tan theta is the ratio of sin theta and cos theta

So possible values of tan theta are

tan  \theta = \pm \frac{5}{ \sqrt{24}}

So the correct options are B and C .

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Triphasil-28 birth control tablets are taken sequentially, 1 tablet per day for 28 days, with the tablets containing the followi
bazaltina [42]

Answer:

1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.

Step-by-step explanation:

The total milligrams of levonorgestrel is:

L = L_{1} + L_{2} + L_{3}

In which L_{1}, L_{2} and L_{3} are the number of miligrams of levonorgestrel taken in each phase.

The total milligrams of ethinyl estradiol is:

E = E_{1} + E_{2} + E_{3}

In which E_{1},E_{2} and E_{3} are the number of miligrams of ethinyl estradiol taken in each phase.

We can solve this by phase.

Phase 1: 6 tablets, each containing 0.050 mg of levonorgestrel and 0.030 mg ethinyl estradiol

In this phase,

6*0.050mg = 0.30mg of levonorgestrel and 6*0.030mg = 0.18mg of ethinyl estradiol are taken.

So L_{1} = 0.30 and E_{1} = 0.18

Phase 2: 5 tablets, each containing 0.075 mg of levonorgestrel and 0.040 mg ethinyl estradiol

In this phase,

5*0.075mg = 0.375mg of levonorgestrel and 5*0.040mg = 0.20mg of ethinyl estradiol are taken.

So L_{2} = 0.375 and E_{2} = 0.20

Phase 3: 10 tablets, each containing 0.125 mg of levonorgestrel and 0.030 mg ethinyl estradiol

In this phase,

10*0.125mg = 1.25mg of levonorgestrel and 10*0.030mg = 0.30mg of ethinyl estradiol are taken.

So L_{3} = 1.25 and E_{3} = 0.30

The total milligrams of levonorgestrel is:

L = L_{1} + L_{2} + L_{3} = 0.30 + 0.375 + 1.25 = 1.925

The total milligrams of ethinyl estradiol is:

E = E_{1} + E_{2} + E_{3} = 0.18 + 0.20 + 0.30 = 0.68

1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.

6 0
3 years ago
The table shows y as a function of x. Suppose a point is added to this table. Which choice gives a point that preserves the func
Hunter-Best [27]

Answer:

<em>A) (-5,7)</em>

Step-by-step explanation:

<u>Functions and Relations</u>

A set of values A can have a relation with another set B as long as at least one element of A has at least one image in B. Functions are special relations where each element of A (the domain of the function) has one and only one image on B (the range of the function).

By looking at the options, we can see that x=9, x=-8, and x=-1 already have defined values in Y, so if we define another value for any of them the relation will stop being a function. The only possible choice to preserve the function is the option

\boxed{A)\ (-5,7)}

8 0
3 years ago
The ruby throated hummingbird has a wingbeat of about 200 beats per second about how many wing Beats would a hummingbird have in
Nady [450]
36,000 wing beats

60 sec= 1 minute 60*3=180sec/3minutes

180*200=36,000

4 0
3 years ago
Help me please!!!!!!!!!!!!!!
tia_tia [17]

Answer:

okay so you would make a line straight across the middle of the spherical shape. The line that goes all the way across is the diameter. If you were to cut that line in half that would be the radius.

Step-by-step explanation:

The first circle shown in the picture provided would be an example of diameter, and the second circle would be an example of the radius. You could just make up a value, for example say the diameter is 10, the radius would be 5.

5 0
3 years ago
The average number of customers per day at a home improvement store is given in the following table. Let x represent the day whe
nika2105 [10]

Answer:

A. 33.690\sin (0.887x + 1.337) + 81.684.

Step-by-step explanation:

We are given that,

x = Number of days where 1 = Sun of 1st week and 7 = Sat of first week.

The corresponding table for the data is given by,

Days        Day Number               Number of Customers

Sun                    1                                     115

Mon                   2                                     77

Tue                    3                                     60

Wed                   4                                     51

Thur                   5                                     68

Fri                      6                                      86

Sat                     7                                      120

The general form of the regression model is a\sin (bx+c)+d.

Using the sinusoidal regression calculator, we get that,

a = 33.690

b = 0.887

c = 1.337

d = 81.684

That is, the sine regression model is 33.690\sin (0.887x + 1.337) + 81.684.

Thus, option A is the sine regression model for the given data.

6 0
3 years ago
Read 2 more answers
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