Using the identity
2
θ
+
2
θ
=
1
sin
2
θ+cos
2
θ=1, find the value of
cos

θ
cosθ, to the nearest hundredth, if
sin

θ
=

0.31
sinθ=−0.31 and
π
<
θ
<
3
π
2
π<θ<
2


.

Answers

Answer 1

Answer:

can you fix the post so that it is not formatted weird?

Step-by-step explanation:

PLEASE MARK BRAINIEST!!

Answer 2

The required value of cos θ is approximately -0.95.

What are Trigonometric functions?

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

We are given that sin θ = -0.31 and π < θ < 3π/2.

Since sin θ = -0.31 is negative, we know that θ is in the third quadrant.

Using the identity 2θ + 2θ = 1,

We can rewrite it as:

2θ = 1 - 2θ.

Squaring both sides, we get:

4θ² = 1 - 4θ + 4θ²

Simplifying, we get 8θ = 1, which means θ = 1/8π.

Since θ is in the third quadrant, we have cos θ < 0.

Using the identity cos² θ + sin² θ = 1, we can solve for cos θ as follows: cos² θ = 1 - sin² θ

cos² θ = 1 - (-0.31)²

cos² θ = 0.9039

cos² θ ≈ -0.95

Therefore, the value of cos θ is approximately -0.95.

Learn more about Trigonometric functions here:

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Related Questions

The angular velocity of a fan blade is 6.2 radians per second.


Approximately how many revolutions does the fan blade make in 1.6 minutes?


Enter your answer, rounded to the nearest tenth of a revolution

Answers

Answer:

94.7 revolutions

Step-by-step explanation:

In the question above, we are given the following values for the fan

Angular velocity = 6.2 radians per seconds

Time = 1.6 minutes.

Step 1

We would convert the time given to seconds

1 minute = 60 seconds

1.6 minutes = ?

We cross multiply

1.6 minutes × 60 seconds

= 96 seconds

Step 2

Number of revolutions made by the fan is calculated as :

Angular velocity(rad/s)

× time(seconds)

Number of revolutions = 6.2 radians per seconds × 96 seconds

=595.2 radians

Converting from radians to revolution

1 radian = 0.159155 revolutions

595.2 radians =

Cross multiply

= 595.2 radians × 0.159155 revolutions

= 94.729056 revolutions.

Approximately to the nearest tenth = 94.7 revolutions.

Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.

1.6 minutes is 1.6 x 60 = 96 seconds.

Its angular velocity is 6.2 radians per second:  6.2 radians/second x 96 seconds = 595.2 radians.

One revolution of the fan is one circumference of the fan, which is 2pi radians.

Dividing 595.2 radians by 2pi radians gives us an answer of 94.7 revolutions.

PLEASE HURRY 30 POINTS! Meredith has 8 pens and 9 pencils. Brody has 4 pens and 9 pencils. Which is the correct comparison of their ratios of pens to pencils?

Answers

Answer:

the ratio of pens is 2:1

and the ratio of pencils is 1:1

Answer:

(D)  8 >4      

      9   9

hope this help

Step-by-step explanation:

When there is no outlier is thebetter measure of center for a set of data


Median
Mode
Range
None of the above

Answers

Answer:

Median

Explanation:

The median is the middle number. This answer fits best with the question asked.

The mode is the number that occurs the most. This number doesn't really have a correlation to the middle of this data.

The range is just how many numbers the data spans across. It has no relation to the middle of the data.

im pretty sure its median :)

Select the correct answer.
Find the area of the rectangle by multiplying its length and width-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
A. (21x2 − 17x + 2) square units
B. (21x2 − 11x + 2) square units
C. (21x2 + 2) square units
D. (21x2 + 11x + 2) square units

Answers

Answer:

b

Step-by-step explanation:

find the output, y, when the input, x, is -5.​

Answers

Answer:

y = -2

Step-by-step explanation:

When x = -5

Go to the blue line

y = -2

Answer:

There are 2 questions with the same question but with a different graph.

This graphs answer is -2.

But the other graph that people are confused about is 7.

Step-by-step explanation:

Hope this helps! :)

A triangle has a base of x 1/2 m and a height of x 3/4 m. if the area of the triangle is 16 m^2, what are the base and the height of the triangle

Answers

Answer:

base = 6.4m

height = 5m

Step-by-step explanation:

Given area = 16m^2

3/4 -1/2 = 1/4  into something x 0.25 its size then add

We see that 2.5 is 10 multiplied. not relevant unless doing algebra

We also see that 0.5 is 0.25 x 2  not relevant unless doing algebra

We start with 5

16/5 = 3.2

if 5 is the height then 3.2 x 2 must be the base.

As we half base to find area so we change this value and reverse the area 1/2 above. 3.2 x 2 = 6.4m base.  and 5m height stays as it is.

If we did algebra

Then 1/2 = 0.5  = 4.5  

3/4 = 0.75 = 3.75

and we would have to plug in 1 as x

3 as x to find one value as 5.5 (-1) = 4.5

We find 3.75 as 5 (-1 )- 1/4 = 3.75

3.75 x 4.5 = 16.875m^2

and is closest fit using 1/4, 1/2 and -1.

But 3.2 x 5 is a better multiplication as 3 1/5 and finds 16 exact.

What is the volume of a cube that has a height of 10 inches

Answers

Answer:

1000 inches

Step-by-step explanation:

V= a3=103=1000in³

Answer:1,000in3

Step-by-step explanation:

V=LxWxH

V=10x10x10

V= 1,000

For 10 straight days Samantha measure the amount of food that her cat Dewey a recording the results

Answers

Answer:

is there like a table or something to help me with the question

what is the radius of a circle with a volume of 12348 inches cubed

Answers

Answer:

14.34 in

Step-by-step explanation:

calculator website i'll link below

I need help. How do you get 12.4 as an answer with using these instruction below.

Answers

Answer:

There are many solutions.

Here is one of them:

1 x 4 / 10 + 14 - 2 = 12.4

Hope this helps!

:)

OUT OF 20 ATTEMPTS A BASKETBALL
PLAYER SCORED 8 TIMES. WHAT
PERCENT OF HIS CHANCES DID HE
SCORE2
C.32%

Answers

40 percent

*how to solve*

First write 8 out of 20 as a fraction:
8/20

Then multiply both sides by 5 so that the denominator is 100:
40/100

40/100 = 40 percent

please help

This spinner has 6 equal sections. what are the odds in simplest form against spinning blue or yellow?

A) 1:2
B) 2:3
C) 3:2
D) 2:1​

Answers

Answer:

D

Step-by-step explanation:

hope this helps!!! good luck:)

Answer: its C 3:2

Step-by-step explanation: see how it has the word AGAINST that means the opposite of the word FAVOR if the Question was. . .

This spinner has 6 equal sections. what are the odds in simplest form FAVOR spinning blue or yellow? then the Answer would be B 2:3

but sense the Question is. . .

This spinner has 6 equal sections. what are the odds in simplest form AGAINST spinning blue or yellow?  

your Answer is . . .

                                             C) 3 : 2

Have a wonderful day :D

DescriptionIn mathematics, the Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space. The conjecture states: Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.


Am I right

Answers

i believe you are right

PlEAssE HeLPLL!!!!! LIKE REALLY HELP ME!!

Answers

Answer:

168745

Step-by-step explanation:

times them all together.

Answer:

16875 cm^3

Step-by-step explanation:

V = lwh

45 * 15 * 25 = 16875

Proofs!! can someone PLEASE HELP

Answers

Answer:

nope sorry

Step-by-step explanation:

idk

the peripherals are the same with the numerators acting the quotient

The half-life of a certain radioactive material is 37 days. An initial amount of the material has
a mass of 477 kg. Write an exponential function that models the decay of this material. Find
how much radioactive material remains after 6 days. Round your answer to the nearest
thousandth.

Answers

Answer is option B that ends with 426.288 kg.

The exponential function that models the decay of this material is [tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex] and the quantity of substance remains is 426.28 grams

What is Half life?

Half-life, in radioactivity, the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay.

What is Radioactive material?

Radionuclides (or radioactive materials) are a class of chemicals where the nucleus of the atom is unstable

Given,

Half life of a certain radioactive material = 37 days

Initial amount of the material = 477 grams

Quantity of substance remains N(t) = [tex]N_{0}(\frac{1}{2})^{(\frac{t}{half-life} )}[/tex]

Substitute the value in the equation N(t) =[tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex]

[tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex] is the exponential function that models the decay of this material.

Quantity of substance remains after 6 days = [tex]477(\frac{1}{2})^{(\frac{6}{37} )}[/tex] = 426.28 grams

Hence, the exponential function that models the decay of this material is [tex]477(\frac{1}{2})^{(\frac{t}{37} )}[/tex] and Quantity of substance remains is 426.28 grams  

Learn more about Half life and Radioactive material here

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Which answer choice shows the number fifty-four and four hundredths written in standard form? A. 54,400 B. 54.04 C. 54.004 D. 54.0004

Answers

Answer:

c

Step-by-step explanation:

Center (2,8) r=6 plz help

Answers

Answer:

(x-2)^2+(y-8)^2=36

Step-by-step explanation:

Zayne has a bag filled with coins. The bag contains 7 quarters, 8 dimes, 3 nickels, and 9 pennies. He randomly chooses a coins from the bag. What is the probability that Zayne chooses a quarter or a nickel?

Answers

10/27

hope this helps :)

Answer:

Q=7/27 N=1/9 which is 10/27

Step-by-step explanation:

you add all the coins together

then if it is quarter then it is 7/27

if it is a nickel then it is 3/27 = 1/9

solve for x
3(x+2)=5x-7
give your answer as an improper fraction

Answers

Answer:

13/2

Step-by-step explanation:

3x+6=5x-7

2x=13

13/2

3x+6=5x-7
6=2x-7
6+7=2x
13=2x

Move the 2 under the 13 to get your answer
13/2

A small TV that regularly sells for $89.00 is on sale at a 15% discount. What is the amount of discount?

Answers

Answer:

$13.35

Step-by-step explanation:

To find the amount of discount, multiply the discount rate by the usual price of the small TV.

discount rate * regular price

The discount rate is 15% and the regular price of the small TV is $89.00

15%*$89.00

15%*89

Convert 15% to a decimal by dividing 15 by 100, or moving the decimal place two spots to the left.

15/100=0.15

15.0-->1.5-->0.15

0.15*89

Multiply

13.35

The discount amount is $13.35

So the amount of discount is $13.35

Look at the attached picture

Hope it will help you

Good luck on your assignment

Find the volume of a pyramid with a square base, where the area of the base is 19.6\text{ cm}^219.6 cm 2 and the height of the pyramid is 12.7\text{ cm}12.7 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:

V = 83.0 cm^3

Step-by-step explanation:

To find the volume of the squared pyramid you use the following formula:

[tex]V=\frac{1}{3}Bh[/tex]   ( 1 )

B: base of the pyramid = 19.6 cm^2

h: height of the pyramid = 12.7 cm

you replace the values of B and h in the equation ( 1 ):

[tex]V=\frac{1}{3}Bh=\frac{1}{3}(19.6cm^2)(12.7cm)\\\\V=82.97cm^3\approx 83.0cm^3[/tex]

hence, the volume of the pyramid is 83.0 cm^3

Solve this equation 2/3x+ 5= 1

Answers

Answer:

x=-6

Step-by-step explanation:

2/3x+5=1

Subtract 5 from both sides:

2/3x=-4

Multiply both sides by 3:

2x=-12

Divide both sides by 2:

x=-6

Hope this helps!

Answer:

-6

Step-by-step explanation:

2/3x +5 = 1

        -5    -5

2/3x = -4

2/3x/2/3 = -4/2/3

= -6

:3 if I helped, please mark as brainliest!

Seventh grade > DD.7 Compound events: find the number of outcomes HZR
You roll a die and pick a marble. How many outcomes are possible?
Submit

Answers

Sjsisusuahsjejejeej c

What is the domain of the relation?


A)

{-4,- 2 1, 4}

B)

{-2, 1, 4}

C)

{-2, 1, 4, 4}

D)

(-4,-2), (-2,1), (1,4), (4,4)

Answers

Answer:

A

Step-by-step explanation:

The domain of a relation is all the x values in it. Therefore, since the only x values in this relation are -4, -2, 1, and 4 that is the answer.

hope this helps :)

The domain given in option A is correct.

The domain of a relation is the set of the first coordinates from the ordered pairs.

How to find the domain of the relation ?

The domain of a relation is all the x values in it.

since the only x values in this relation are -4, -2, 1, and 4 that is the answer.

Thus, the domain is {-4,-2,1,4}.

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please help i am stuck please
Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer: Sample
Adventur/ Beach/ Cruise/ Ski /
A 6/ 5/ 70/ 19
B 1 6 72 / 21
Which of the following inferences can be made based on the data?
A)Most members prefer a beach vacation.
B) Most members prefer a adventure vacation.
C)More members prefer an adventure vacation and a ski vacation than a cruise vacation.
D)More members prefer a beach vacation and ski vacation than an adventure vacation.

Answers

Answer:

D

Step-by-step explanation:

MORE MEMBERS PREFER A BEACH VACATION AND SKI VACATION THAN AN ADVENTURE VACATION

Which of the following systems of inequalities has point D as a solution? Two linear functions f of x equals 3 times x plus 4 and g of x equals negative one half times x minus 5 intersecting at one point, forming an X on the page. A point above the intersection is labeled A. A point to the left of the intersection is labeled B. A point below the intersection is labeled C. A point to the right of the intersections is labeled D. f(x) ≤ 3x + 4 g of x is less than or equal to negative one half times x minus 5 f(x) ≥ 3x + 4 g of x is less than or equal to negative one half times x minus 5 f(x) ≤ 3x + 4 g of x is greater than or equal to negative one half times x minus 5 f(x) ≥ 3x + 4 g of x is greater than or equal to negative one half times x minus 5

Answers

The graph attached below shows the graph of the above functions f(x) and g(x). The points lie in the shaded region of the graph of f(x) and g(x). So, according to the graph attached below this option is correct.

Given:

f(x) = 3x+4

g(x) = -0.5x-5

Check option wise which systems of inequalities has point D as a solution:

A)

Given :

[tex]\rm f(x) \leq 3x+4[/tex]

[tex]\rm g(x) \leq -\dfrac{1}{2}x-5[/tex]

Draw the graph of both the given function in order to determine point D lies in it or not.

The graph attached below shows the graph of the above function. So, according to the attached graph, this option is incorrect.

B)

Given:

[tex]\rm f(x) \geq 3x+4[/tex]

[tex]\rm g(x) \leq -\dfrac{1}{2}x-5[/tex]

Draw the graph of both the given function in order to determine point D lies in it or not.

The graph attached below shows the graph of the above function. So, according to the graph attached below this option is incorrect.

C)

Given :

[tex]\rm f(x)\leq 3x+4[/tex]

[tex]\rm g(x) \geq -\dfrac{1}{2}x-5[/tex]

Draw the graph of both the given function in order to determine point D lies in it or not.

The graph attached below shows the graph of the above function. So, according to the graph attached below this option is correct. Therefore, don't check the further options.

For more information, refer to the link given below:

https://brainly.com/question/25140435

!! WARNING !! : THIS ANSWER IS IF YOU ARE FINDING THE LABEL B NOT D!!!!!!!!

OK, Let's make this easy. So,

B)

f(x) ≥ 3x + 4

g of x is less than or equal to negative one-half times x minus 5

(THERE IS AN IMAGE FOR THIS EQUATION IF THIS TEXT IS CONFUSING)

uPDATE: THIS IS CORRECT

I need help with this please ASAP!!!

Answers

Answer:

B and c

Step-by-step explanation:

It took Darcy two days to drive from Orlando to Pittsburgh. She drove 595 miles on the first day and at least 1,020 miles in total. How many miles did she drive on the second day?

Answers

Answer:

Darcy drove 425 miles

Step-by-step explanation:

you find this out by doing the equation 1,020-595

PLEASE HELP ITS AN EMERGENCY!!

Answers

Answer:

m∠B=m∠R

Step-by-step explanation:

If you make the triangles congruent, you'll see many things like:

∠A=∠P

∠B=∠R

∠C=∠S

Line AB=Line RP

Line BC=Line RS

Line CA=Line SP

Out of the options, only m∠B=m∠R is true.

Answer:

m∠b = m∠r

Step-by-step explanation:

The triangle was reflected across line m.

A reflection is a rigid transformation. A rigid transformation does not change the measurement or size of a shape, so the pre-image and the image are congruent.

The angles on the pre-image corresponds to the angles on the image. This also is for line segments.

This means (for angle measurements):

Angle A is congruent to Angle PAngle C is congruent to Angle SAngle B is congruent to Angle R

Option D should be the correct answer.

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