Angle θ is in standard position. if sin(θ) = − 1/3, and π < θ < 3π/2 , find cos(θ).
A. -(2√2)/3
B.4/3
C.2√2/3

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]sin^2({ \theta})+cos^2({ \theta})=1\\cos({ \theta})=-/+\sqrt{1-sin^2({ \theta})} \\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} \\ --- > sin({ \theta})=\frac{1}{3} (known)\\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} =-\sqrt{1-(-\frac{1}{3})} =-\sqrt{\frac{9-1}{9}} =-\frac{2x^{2} }{3}[/tex]


Related Questions

10. What mass of carbon dioxide is produced when 6.2
moles of propane, C3Hg is burned in oxygen?
C3H2 + ___ O2 →
O2 → _ CO2 + _ H2O
-
-

Answers

This s incorrect boyyyyyyy

[PRECALC] Verify the following trigonometric identity using sin2x + cos2x = 1

Answers

Answer:

See below ~

Step-by-step explanation:

Identities :

cot x = cos x / sin xsin²x + cos²x = 1

Changing the Left Hand Side (LHS) :

1/cot x + cotx1/(cos x / sin x) + cos x / sin xsin x / cos x + cos x / sin xTake (sin x)(cos x) as the LCM (Least Common Multiple)sin x (sin x) + cos x (cos x) / (sin x) (cos x)sin²x + cos²x / cos x sin x1/cos x sin xEqual to the RHS

JoAnne wanted to add some accessories to her house. She purchased the following items; 2 decorative bowls for $46 each, a picture for $85, a lamp for $67, and four candles for $12 each. How much did she spend?
$296
$292
$290
$294

Answers

Answer:

the answer is $292 :)

have a nice day

Shreya has 40 pairs of shoes stacked in boxes.

If a pair is 2 shoes, how many shoes does Shreya have?

Answers

Answer:

80 shoes

Step-by-step explanation:

sin e a pair is 2 shoes,

Shreya has 40×2shoes

= 80 shoes

therefore, Shreya has 80 shoes

40 x 2

=80 shoes

(We now have school systems which force students to study maths and, through enough exposure, our brains can learn to think mathematically. But if those skills cease to be used, the human brain will quickly return to factory settings...- Matt Parker )

A square+B square=What
Pls Help me ​

Answers

A²+B²

The general algebraic identity is

A²+B²=(A+B)²-2AB

Lets derive

(A+B)²-4ABA²+B²+2AB-2ABA²+B²

Hence verified


Which is an example of an isosceles right triangle?

Answers

Answer:

D.

Step-by-step explanation:

An isosceles triangle is a triangle with 2 equal sides (2 sides with the same length)

Bearing. A is on a bearing of 095° from B. What is the bearing of B from A?​

Answers

The bearings from b to a is that o95 and it can’t be no longer than what I put so it has to be 20

If you use mobile payment and lose your phone, you should NOT:
OA. Cancel your card.
OB. Get a new phone and keep using the same card in the app.
OC. Remotely lock your device.
OD. If possible, clear the data off of your device.

Answers

Answer: Choice B

Reason:

Yes you should get a new phone, but you should not keep using the same card. Whoever has your phone (assuming anyone found it or stole it) may be able to gain access to the phone, and use the card fraudulently. You should call the credit card company and cancel that card, and get a new card. This is why choice A is eliminated. Choices C and D are eliminated as well so that you protect your privacy from any potential thieves.

which expression is greater than 4

Answers

Answer:

all numbers<4

so numbers 5 and up

Step-by-step explanation:

You are stationary on the ground and are watching a bird fly horizontally towards you at a rate of 3 m/s. The bird is located 60 m above your head. How fast does the angle of elevation of your head change when the horizontal distance between you and the bird is 80 m? (Leave your answer as an exact number.)

Answers

Based on the rate the bird is flying and the distance above your head, the speed of change in the angle of elevation is 0.018 rad/sec.

What is the speed of the change in angle of elevation?

First use the Pythogoreous theorem to find the distance between you and the bird at 80 m:

= √(60² + 80²)

= √(3,600 + 6,400

= 100 m

Cos² = 80² / 100²

= 16 /25

Differentiate this to get:

= ((-60 x 16/25) / 80²) x (-3)

= 9/500

= 0.018 rad/sec

Find out more on angle of elevation at https://brainly.com/question/2004882.

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in a semiconductor company's quality control test, a machine found that 22 out of a sample of 600 computer chips were defective how many of the 36,000 computer chips the company makes each would you expect to be defective?

Answers

Answer:

1320 should be expected

Step-by-step explanation:

22 = 600

  x10

220 = 6,000

   x6

1320=36,000

In a bag there are 3 blue marbles, 2 green marbles, 4 red marbles, 1 white marble, and 5 yellow marbles. What is the probability of drawing a green marble then drawing a blue marble from the bag? (With Replacement)

Answers

Answer:

So, you must NOT draw a yellow marble on the first draw, a probability of 8/12. Then, you must NOT draw a yellow marble on the second draw, a probability of 7/11. Then you MUST draw a yellow marble on the third draw, a probability of 4/10. So, the three required events, taken together, look like this in lowest terms:

2/3 * 7/11 * 2/5 = 28/165

HOPE IT HELPS!!

Aiden has $6,000 in an account. The interest rate is 5% compounded annually. To the nearest cent, how much will he have in 5 years?

Answers

Answer:

$7,657.69

Step-by-step explanation:

To find this, use the interest formula:

[tex]A = P(1+r)^{t}[/tex]
A = final amount

P = principal amount ($6,000)

r = interest rate (5% or 0.05)

t = time (5 years)

Given this formula, we can plug in the information and find how much Aiden has after 5 years:

[tex]A = 6000(1+0.05)^{5}[/tex]

[tex]A = 6000(1.05)^{5}[/tex]

[tex]A = 7657.69[/tex]

Therefore, after 5 years Aiden will have $7,657.69.

I hope this helps! Good luck!

Find the area of the rhombus

Answers

Answer:

25

Step-by-step explanation:

area of the rhombus=1/2×d1×d2

1/2×5×10

=25

is 3/2 = to square of 2

Answers

Answer:

No, it will not

Step-by-step explanation:

as square of 2 is 4

find the mode of the following data set.

help please

Answers

Answer:

Step-by-step explanation:

The most repeated number is 1,

Therefore, 1 is the anser

Construct an isosceles triangle ABC in which AB=AC = 9 cm and BÂC = 45°. Measure ABC and BC​

Answers

Answer:

m∠ABC = 67.5°BC = =6.888301782572 cm

Step-by-step explanation:

ABC is an isosceles triangle

Then

m∠ABC = m∠ACB

The sum of the interior angles of a triangle is equal to 180°

Then

m∠ABC + m∠ACB + m∠BAC = 180°

Then

m∠ABC + m∠ACB + 45 = 180°

Then

2 × m∠ABC = 180°

Then

m∠ABC = (180−45)÷ 2 = 67.5°

Law of SIN :

[tex]\frac{9}{\sin \left( 67.5\right) } =\frac{BC}{\sin \left( 45\right) }[/tex]

[tex]BC=\frac{9}{\sin \left( 67.5\right) } \times \sin \left( 45\right) ==6.888301782572[/tex]

Need help please thanks

Answers

Answer: There is no zeros for this equation.

Step-by-step explanation: First, we use the quadratic formula and plug in values. -2 plus or minus the square root of 2^2 - 4*5*8.

The square root will be -39 (negative 39.) This is impossible without using complex numbers (you cannot use complex numbers to get a zero.) Negative square roots are not real. Thus, this equation has no real solution.

The length of a rectangle is four times its width.
If the perimeter of the rectangle is 60yd find it’s length and width

Answers

Answer:

Length = 24 yd

Width = 6 yd

Step-by-step explanation:

To start out, we can begin by saying that "l" is the length of the rectangle, and "w" is the width.

Since we know that the length (l) is 4 times its width we can say that 4 times the width is equal to its length. We would write this out this way :

4w = l

Next, we know that the perimeter is 60yd (as it is given in the question). We also know that the perimeter of a rectangle is all of its sides, added. Meaning the length plus the length, plus the width and the width. So, we can use the equation :

2l + 2w = p

"p" being the perimeter. And, since the perimeter is 60, we can place in 60 for "p"

2l + 2w = 60

Now we can use this information to combine the terms, and find the width and length. We first do this by noticing that in the first equation, it shows that "l" (the length) is equal to 4w. This means that we can put 4w in place of the "l" in the second equation. We can do this, becuase we know that "l" is equal to 4w. (from the first eqaution)

2 (4w) + 2w = 60

Now, we solve

2 * 4w = 8w

8w + 2w = 10w

So now we have :

10w = 60

To get the width, all we have to do is simply get "w" alone. We can do this by dividing both sides by 10.

10w = 60

/10     /10

w = 6

Therefore, the width is 6.

Now, going back to the first equaiton, we already know that the length is 4 times the width, meaning all we have to do is multiply 6 by 4 to get the length.

6 * 4 = 24.

Therefore, the length is 24.

Lastly, to check and make sure we are correct, we can go back to the second equation. 2l + 2w = 60

2 (24) + 2 (6) = 60

2 * 24 = 48

2 * 6 = 12

48 + 12 = 60

60 = 60

Now, we officially know that the length of the rectangle is 24 and the width is 6.

Yuna grows two varieties of pears—Bosc and Anjou. She took a sample of each variety to test if their average caloric contents were significantly different. Here is a summary of her results:
Calories
Variety nnn Mean StDev SE mean
Bosc 656565 120120120 151515 1.861.861, point, 86
Anjou 656565 116116116 131313 1.611.611, point, 61
99\% \text{ CI for } \mu_\text{B} - \mu_{\text{A}}\text{:}99% CI for μ
B

−μ
A

:99, percent, start text, space, C, I, space, f, o, r, space, end text, mu, start subscript, start text, B, end text, end subscript, minus, mu, start subscript, start text, A, end text, end subscript, start text, colon, end text 4 \pm 6.444±6.444, plus minus, 6, point, 44
Yuna wants to use these results to test \text{H}_0\text{: }\mu_\text{B}=\mu_\text{A}H
0

: μ
B


A

start text, H, end text, start subscript, 0, end subscript, start text, colon, space, end text, mu, start subscript, start text, B, end text, end subscript, equals, mu, start subscript, start text, A, end text, end subscript versus \text{H}_\text{a}\text{: }\mu_\text{B} \neq \mu_\text{A}H
a

: μ
B





A

start text, H, end text, start subscript, start text, a, end text, end subscript, start text, colon, space, end text, mu, start subscript, start text, B, end text, end subscript, does not equal, mu, start subscript, start text, A, end text, end subscript. Assume that all conditions for inference have been met.
Based on the interval, what do we know about the corresponding P-value and conclusion at the \alpha=0.01α=0.01alpha, equals, 0, point, 01 level of significance?

Answers

Answer:

The P-value is greater than α=0.01 and she cannot conclude that there is a difference between the means.

Step-by-step explanation:

did the khan assignment

Please help, image below. Thank you!

Answers

Answer:

10 Inches

Hope it helps, have a fantastic day.

Step-by-step explanation:

The Circumference of a circle can be displayed by this formula:

[tex]C = 2\pi r[/tex]

[tex]C[/tex] is the circumference, and [tex]r[/tex] is the radius.

So just plug in 31 for [tex]C[/tex], and simplify:

[tex]31 = 2\pi r[/tex]

Because the question is asking for the diameter, we only need to divide both sides by pi, as [tex]2r[/tex] is the same thing as diameter.

[tex]9.87 = 2r[/tex] (rounded to the nearest hundredth)

We can even rewrite [tex]2r[/tex] as [tex]d[/tex], which stands for diameter, to make things a little simpler.

[tex]9.87 = d[/tex]

Now we just take 9.87, and round it to the nearest whole number, and we get 10. So your answer is 10 Inches.

Hope it helps, have a fantastic day.

find the distance between the points (8, 0) and (0, B)
Answer: B​

Answers

Answer:

The difference is 8

Step-by-step explanation:

(06.01 LC) A scatter plot is shown. 10 9 8 7 6 5 4 3 2. 0 1 2 3 4 5 6 7 8 9 10 How many outliers does the graph show? (1 point) 01 02 03 4​

Answers

Answer:

2 outliers

Step-by-step explanation:

(1,9) and (10,7) both are outliers.

There are 2 outliers in the given scatter plot. Therefore, option B is the correct answer.

What does outliers mean in scatter plots?

An outlier is a data point that does not fit the rest of the data. It lies outside of a cluster and does not follow the same pattern. Scatter plots can have many outliers, just one outlier, or no outliers.

From the given graph, we can see that coordinates (1, 9) and (10, 7) are not in the cluster.

These two points lies out side the cluster, so these points are outliers.

Therefore, option B is the correct answer.

Learn more about the outliers here:

https://brainly.com/question/26958242.

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Gasoline cost $0.60 a gallon if a car makes 25 miles to the gallon what is will gasoline for an 800 mile trip cost

Answers

Answer:

$19.29

Step-by-step explanation:

800 ÷ 25 = 3232 x 0,60 = $19.20

there you have it

Pa help po (yung buo sana sagot)

Answers

what are you saying?

Step-by-step explanation:

i dont kno if you are a thailander or not???

Please please I need help. What is the value of X

Answers

Answer:

x = 25

Step-by-step explanation:

Solving

∠CAD = 1/2 ∡ CD180° - 90° - (2x)° = 1/2 (80°)2x = 90° - 40° = 50°x = 25

Determine a series of
ABCDE onto polygon A'B'C'D'E'?
12
transformations that would map polygon
2 3 4 5 6 7 8 9 10 11 12
-12-11-10-9-8-7
C
В'
O
B
A'
O
M9848945
11
10
4321
A
6.-5 -4 -3 -2 -1
D'
7-1
Á Ẻ ồ ó có ý ới ơi đã có có n
E
-9
-10
-11
-12

Answers

Polygon ABCDE was dilated by a scale factor of 2 about the origin and then translated 14 units down to form polygon A'B'C'D'E'

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Polygon ABCDE was dilated by a scale factor of 2 about the origin and then translated 14 units down to form polygon A'B'C'D'E'

Find out more on transformation at: https://brainly.com/question/4289712

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In an in-text citation, direct quotes go in_______.
A. between parenthesis
B. between double quotation marks
C. at the end of the paragraph
D. between commas

Answers

A is your answer I know

Choose an image (2, 3, or 4) and answer the questions.
a. How does this image change from the previous image?

Answers

wait where’s the image?

(5x+1)3=15x3 que Propiedad pertenece

Answers

Answer:

Step-by-step explanation:

1) Reagrupar términos.

3(5x + 1) = 15x^3

2) Divide ambos lados por tres.

5x + 1 = 5x^3

3) Mueva todos los términos a un lado.

5x + 1 - 5x^3 = 0

4) No se encontró ninguna raíz algebraicamente. Sin embargo, las siguientes raíces se encontraron por métodos numéricos.

x=−0.878886,−0.209148,1.088033

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