Consider this equation.


sin(θ)= 3sqrt10/10


If θ is an angle in quadrant II, what is the value of tan(θ) ?

Consider This Equation.sin()= 3sqrt10/10If Is An Angle In Quadrant II, What Is The Value Of Tan() ?

Answers

Answer 1

Answer:

tan x = -3 (Answer A)

Step-by-step explanation:

We want to find the tangent of this angle "theta," and recall the trig identity

(sin x)^2 + (cos x)^2 = 1.

               3√10

If sin x = -----------

                   10

                             90

then (sin x)^2 = ----------- = 9/10

                             100

and (cos x)^2 = 1 - 9/10 = 1/10

 

                      sin x       3√10/10

Then tan x = ---------- = -------------- = -3 (Answer A)

                       cos x      1√10/10

The tangent function is negative in Quadrant II.  In Quadrant I tan x = +3

Answer 2

Answer:

A

Step-by-step explanation:

Using the trig identity

sin²x + cos²x = 1 , then cos x = ± [tex]\sqrt{1-(\frac{3\sqrt{10} }{10})^2 }[/tex]

Given

sinθ = [tex]\frac{3\sqrt{10} }{10}[/tex] , then

cosθ = ± [tex]\sqrt{1-(\frac{3\sqrt{10} }{10})^2 }[/tex]

        = ± [tex]\sqrt{1-\frac{9}{10} }[/tex]

        = ± [tex]\sqrt{\frac{1}{10} }[/tex]

Since θ is in second quadrant where cosθ < 0 , then

cosθ = - [tex]\frac{1}{\sqrt{10} }[/tex]

Then

tanθ = [tex]\frac{sin0}{cos0}[/tex] = [tex]\frac{\frac{3\sqrt{10} }{10} }{\frac{-1}{\sqrt{10} } }[/tex] = - 3 → A


Related Questions

the table below shows the values for the function y=f(x). complete the table for the function y=f(1/5x).

Answers

x y

-4 -4/5

-1 -1/5

0 0

3 3/5

6 6/5

Step-by-step explanation:

So fill in the same numbers for x. then multiply them by 1/5 since the function is 1/5 times x.

PLEASE HELP
I don’t understand
DONT USE ME FOR POINTS

Answers

Answer:

d = 364 feet

Step-by-step explanation:

Given that,

The pressure at depth d is given by :

[tex]P=13+\dfrac{8}{13}d[/tex]

Pressure under water is found to be 237 pounds per square foot

Now, put P = 237 to find d. So,

[tex]237=13+\dfrac{8}{13}d\\\\237-13=13+\dfrac{8}{13}d-13\\\\224=\dfrac{8}{13}d\\\\d=\dfrac{224\times 13}{8}\\\\d=364\ ft[/tex]

So, the depth is equal to 364 feet.

(2x + 5y -z)+(-6x - 4y +7z)

Answers

-4x + y+ 6z

Step-by-step explanation: image below

Whoever gives an answer first gets Brainliest

Answers

Answer:

answer to what?

Step-by-step explanation:

Answer:

Thanks mate n.n

Have a good one !

Suki has 10 rock songs, 11 dance songs 12
salsa songs and 7 classical songs on her
playlist. If Suki's music player randomly
selects a song from the playlist, what is the
experimental probability that the song will be
a classical song?
Answers MUST be written as a fraction only.

Answers

Answer:

7/40

Step-by-step explanation:

possible outcomes = 10+11+12+7 = 40

favourable outcome = 7

theoretical probability  = favourable outcomes/possible outcomes

therefore, 7/40 is the answer

The diagram shows a right-angled triangle.
hcm
37°
15 cm
What is the value of h?
Give your answer correct to 1 decimal place.​

Answers

answer

11.3 cm

steps

what is h cm to angle 37°=it is an opposite side

what is 15 cm to angle 37°=it is an adjecent side

opposite and adjecent form a tan

.°. opp/adj = tan(37°)

h/15 = tan(37°)

h = 11.3 cm

Find the difference:
5 2
7 7​

Answers

If your referring to a Fraction which would be 5/7 and 2/7 the difference is 2/7 is not greater than 5/7 because to get the answer you convert each fraction into decimal numbers. We do this by diving the numerator by the seminar or for each fraction.

As you see here this is an example:

2/7=0.286
5/7=0.714

Then compare the two decimal numbers to get the answer. 0.286 is not greater than 0.714. Which means

2/7<5/7

Answer:

3

0

Step-by-step explanation:

Difference means subtraction

5-2 =3..

7-7=0

an equation is shown. x + 3 = 8.5 what is the solution to the equation

Answers

Answer:

mbcnnb.hhhhjsjsjsnwjwnnwnwnenenebebeneme dcecvejsksmemebeccehsnsnsne evvenekeiekekenbegegevebbehehenebebbebebendhfhhcjcmc d d ecevegjskdkdklxbxbcbfdvvdvdhejrklnssfbmjffbb c

Step-by-step explanation:

nbsnsmsmlslakwj

X = 5.5 I’m pretty sure

Kim and Kate sell gym memberships. Kim earned $50 her first day of work and $75 each day after that. Kate earned $35 her first day of work and $75 each day after that. Part A Find the pattern for calculating the amount that Kim and Kate each earn. Use the drop-down menus to complete the statements. For Kim, start at 50 and add 75 for each day after the first day. For Kate, start at 35 and add 75 for each day after the first day. Part B How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all. 180 225 260 275 330 375 Kim will have earned $ and Kate will have earned $ after 4 days.

Answers

For Kim, start at  50  and add  75  for each day after the first day.

For Kate, start at  35  and add  75  for each day after the first day.

Part B

How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all.

Kim will have earned $ 275  and Kate will have earned  260  after 4 days.

If the same textbook is in a lower shelf that is o.75 m above the floor. What is its potential now?

Answers

Answer:

PE = 51.45 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8m/s^2)(0.75 m)

= 51.45 Joules

area of triangle with
width= 18cm
breadth=14cm
height=11cm

Answers

Answer:

99

Step-by-step explanation:

i have all the steps in the comments of ur question

which value for s will make this equation true? s(11-s)=24

answer choices:
8
4
6
5

Answers

8 cause 88-64=24(you have to distribute)

- ( Intercepts form two points form )

If A ( a , b ) and B ( b , a ) lie in 6x-y =1 and 2x - 5y = 5 respectively , find the equation of AB. Show your workings too!

~Thanks in advance! :D ​

Answers

Answer:

Solution given:

A(a,b) lie in 6x-y =1

substituting value of A in equation ,we get

6a-b=1...................(1)

B(b,a) lie in 2x - 5y = 5

substituting value of B in equation ,we get

2b-5a=5

b=5(a+1)/2............(2)

substituting value of b in equation 1 ,we get

6a-5(a+1)/2=1

12a-5a-5=2

7a=2+5

a=[tex] \frac{7}{7} [/tex]=1

substituting value of a in equation 1 ,we get

6×1-b=1

6-1=b

b=5

so points are A(1,5) and B(5,1)

we have

equation of line having two points

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1) [/tex]

[tex](y - 5) = \frac{1-5}{5-1} (x - 1) [/tex]

[tex](y - 5) = -1 (x - 1) [/tex]

y-5=1-x

x+y=6 is a required equation of line AB.

Patty gives the birds at a sanctuary 20 ounces of seed each day.
How much bird seed does she use in 160 days?

Answers

Answer:

3200

Step-by-step explanation:

Do Whole numbers include negative numbers? Please help, thanks!

Answers

Answer:

negative numbers aren't whole numbers but they are considered to be integers

Answer:Whole numbers don't include negative numbers, fractions, or decimals.

Step-by-step explanation:

depends please comment give more ifnomation on what you are saying if you dont understand

To the nearest tenth, what percentage of people were in the 41 - 50 age group and favored the Do-It-Yourself books?
A. 9.2%
B 20.4%
C. 45.1%
D. 57.1%

HELPP ASAP

Answers

Answer: it should be 9.2%

Step-by-step explanation:

The  percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .

What is Percentage ?

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, [tex]"\%"[/tex] .

Percentage [tex]=\frac{Obtained\ Number}{Total\ Number} *100[/tex]

We have,

Total number of people [tex]=750[/tex]

Number of people in the [tex]41 - 50[/tex] age group [tex]=268[/tex]

Number of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books [tex]=69[/tex]

So,

Percentage of favored the Do-It-Yourself books in the [tex]41 - 50[/tex] age group [tex]=\frac{Do-It-yourself\ 41-50\ age}{Total\ Number\ people} *100[/tex]

[tex]=\frac{69}{750} *100[/tex]

[tex]=9.2\%[/tex]

So,  the percentage of people is  [tex]9.2\%[/tex] .

Hence, we can say that the percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .

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Todd drove from baltimore, Md to new york city a distance of 192 miles. How many feet did todd drive??

Answers

Answer:

1.014e+6

Step-by-step explanation:

can't explain, I would if I could

Answer:

1,013,760 Feet

Step-by-step explanation:

A mile is equal to 5,280 feet

Give me Brainllest plz

What is the inverse of the function
f(x)
19
13?
OA-110) =
319
OB. 5-1,5) =
19
T
319
Oc. 9-17)
OD. 1-16x) = leven

Answers

Answer:

A is correct ..............

What is the PE of an object that is 15kg that is 5.0 M above the ground?

Answers

Answer:

735 J

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 15 × 9.8 × 5

We have the final answer as

735 J

Hope this helps you

In parallelogram NPQR if NS=20 find SQ

Answers

Answer:SQ=20

Step-by-step explanation:

NS=20

NS=SQ

SQ=20

The value of SQ is 20

What is parallelogram?

The Greek word "parallelogram on," which means "bounded by parallel lines," is where the term "parallelogram" comes from. As a result, a parallelogram is a quadrilateral with parallel lines defining its boundaries. The opposite sides are parallel and equal in this shape. There are three main classes of parallelograms: square, rectangle, and rhombus each have their own distinct characteristics.

Given a parallelogram NPQR

and NS = 20 to find the value of SQ

since S is the intersecting point of diagonals of parallelogram,

so NS = SQ

The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. The sum of the squares of a parallelogram's diagonals and all of its sides is the same.

SQ = 20

Hence for parallelogram SQ = 20.

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The complete question is attested in image.

Does Brainly help with Geometry?

Answers

Answer:

Yes!

Step-by-step explanation:

Brainly can function as an algebra practice tool, a geometry solver, and a fraction calculator.

What is Geometry?

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects. A geometer is a mathematician who specialises in geometry.

The three most popular types of geometry are solid geometry (which deals with items like the line, sphere, and polyhedron) and spherical geometry (which deals with objects like the spherical triangle as well as spherical polygon). Plane geometry deals with objects such as the point, line, oval, triangle, and polygon.

Thus, Brainly can function as an algebra practice tool, a geometry solver, and a fraction calculator.

Learn more about Geometry, here:

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If ax – b = 0 and a #0, then x =

Answers

Answer:

x = [tex]\frac{b}{a}[/tex]

Step-by-step explanation:

Given

ax - b = 0 ( add b to both sides )

ax = b ( divide both sides by a )

x = [tex]\frac{b}{a}[/tex]

PLS HELP ME THIS IS Probability (Single event) PLS HELP ME

Answers

Answer:

30%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

P(9) = 1/4

P(9) % = 100/4 = 25%

What is the standard form of y – 10 = 2(x + 2)?

Answers

Answer:

y = 2x+14

Step-by-step explanation:

So first of all simplify 2(x+2)


Result is 2x+4


Y-10=2x+4


Now add 10 to both sides and that's how you get your answer

The equation below has two answers. One of the answers is X=5. What is the other value of X?

Answers

Answer:

x = - 5

Step-by-step explanation:

The absolute value function always gives a positive result , then

| - 5 | = | 5 | = 5

Thus x = 5, x = - 5

plsssss helppp sooonnnn

Answers

Answer:

4 and -6≤x<0

Step-by-step explanation:

6. 4

7. -6≤x<0

can anyone help me and place them in their correct spot?

Answers

Answer:

(9^2) --- Because 9*9 = 81

(9)

you got this one right (2x-8)

X= -8

−4x−6=−5y+2

Write a formula for g(x), in terms of x.

Please

Answers

There good luck yw ......
Solving for x is 5y over 4 -2

find x. please explain

Answers

Multiply 12 x 30 and divide by 90= 4

Answer:4

Answer:

5

Step-by-step explanation:

We can figure out the triangle is 30-60-90. So we use the pythagorean theorem. 13^2 - 12^2 = x^2.     25 = x^2.     square root of 25 is 5.

7th grade math unit 5 class review#1 equations and inequalities

Answers

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