If sin θ =8/9. Find cot θ.

Answers

Answer 1

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{G\: I \: V \: E\: N}}} }: [/tex]

[tex] \large{ \tt{sin \: \theta = \frac{8}{9}}} [/tex] Here , Perpendicular ( p ) = 8 & hypotenuse ( h ) = 9

♨ [tex] \underline{ \underline{ \large{ \tt{ T \: O \: \: F \: I\: N\: D}}}} : [/tex]

[tex] \large{ \tt{cot \: \theta}}[/tex]

♨ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T\: I\: O \: N}}}} : [/tex]

First, Find the base ( b ) using Pythagoras theorem :

☪ [tex] \boxed{ \bf{ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]

~Plug all the known values and then simplify!

⇾ [tex] \large{ \bf{ {9}^{2} = {8}^{2} + {b}^{2} }}[/tex]

⇾ [tex] \large{ \bf{81 = 64 + {b}^{2} }}[/tex]

⇾ [tex] \large{ \bf{64 + {b}^{2} = 81}}[/tex]

⇾ [tex] \large{ \bf{ {b}^{2} = 81 - 64}}[/tex]

⇾ [tex] \large{ \bf{ {b}^{2} = 17}}[/tex]

⇾ [tex] \large{ \bf{b = \sqrt{17}}} [/tex]

Now , Find the value of cot θ

We know ;

⟿ [tex] \large{ \bf{cot \theta = \frac{b}{p} = \boxed{ \bf{ \frac{ \sqrt{17} }{8}}}}} [/tex]

⤷ [tex] \boxed{ \boxed{ \underline{ \large{ \tt{Our \: Final \: Answer : { \tt{ \frac{ \sqrt{17} }{8} }}}}}}}[/tex]

( Correct me if I'm wrong )

Hope I helped ! ♡

Have a wonderful day / night ! ツ

☄ Let me know if you have any questions regarding my answer !

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎

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Related Questions

A company car is valued at $28,000 and will depreciate by
$2,000 each year. How many years will it take for the car to.
have no value ($0).

Answers

Answer:

14 years

Step-by-step explanation:

If the value of the car is $28,000 and each year the value goes down by $2,000 it will be $0 in 14 years. 28/2=14

Solve the following quadratic by factoring. x² + 12x + 27 = 0

A. X=3 ,x=-9

B.x =3 , x=9

C.x = -3,x = -9

Answers

Answer:

It is the option c x=-3 x=-9

A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist has remaining, y, after creating x hats.

A coordinate plane showing Balloon Hat Creations. The x-axis shows Number of Balloon Hats and the y-axis shows Balloons Remaining. The straight line starts at (0. 500) and continues down and to the right through points, (50, 250) and ends at (100, 0).
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options.

Answers

Answer:

(B)negative slope

(C)constant slope

(E)decreasing function

Step-by-step explanation:

just took the test :)

Answer:

B,C,E

Step-by-step explanation:

Anna buys trees from a nursery that cost $5.95 each. She has a maximum of $40 to spend on her tree purchases.

The total cost, with respect to the number of trees purchased, can be modeled by a function. Select the statement that correctly describes the domain of the function.

HINT: The Domain is the number of tress she can buy with the maximum amount of money she has.


A. The domain is the set of all integers greater than or equal to 0 and less than or equal to 6.

B. The domain is the set of all integers greater than or equal to 0 and less than or equal to 6. ,

C. The domain is the set of all integers greater than or equal to 0 and less than or equal to 7.


D. The domain is the set of all real numbers greater than or equal to 0 and less than or equal to 35.7.

Answers

Answer:

B

Step-by-step explanation:

I think this is right

Answer:

C

Step-by-step explanation:

Rectangle ABCD with length 24 feet and width 20 feet is dilated by a scale factor of 4/3. What is the area of rectangle A'B'C'D'?​

Answers

multiply the length and with by the scale factor:

24 x 4/3 = 32 feet

20 x 4/3 = 26 2/3 feet

Area is length x width:

32 x 26 2/3 = 853 1/3 square feet.

A rectangle has a length of 12 and a width of 9. What is the
length of the diagonal? Round to the nearest tenth if needed.

Answers

Answer:

15

Step-by-step explanation:

9 squared + 12 squared

3. What is the y intercept of this line?
A. -2
B. 2
C. -3
D. 3

4. What is the y intercept of this line?
A. -2
B. 2
C. -3
D. 3

Answers

3. A.-2
4. B.2
Hope this helps
question.3 is A. -2
question. 4 is D.3

help me please with these three problems

Answers

0, 1 and 1/2 if the question is what the fractions are closer to

Help, please
A: 2
B: -2
C: 1/2
D:-1/2

Answers

Answer:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \sqrt{x} \left \{ {{y=2} \atop {x=2}} \right. \frac{x}{y} \alpha \alpha \alpha =\beta[/tex]

Step-by-step explanation:

Cody starts the month of April with 5 action figures. Each month, he collects an additional 3 action figures.

Write an equation (in slope-intercept form) that matches Cody's situation.

Group of answer choices

y = 3x + 5

y = 5x + 3

y = 3x - 5

y = 5x - 3

Answers

Answer:

y= 3x + 5

Step-by-step explanation:

The +5 represents the starting 5 action figures, and the 3x represents the 3 action figures he collects each month.

*ANSWER ASAP* Earth has a diameter of approximately 7926 miles. Determine the volume of Earth.

Answers

Answer:

Rounding to the nearest whole number, 49 moons can fit in the earth.

Rounding to the tenth place, 50 moons can fit in the earth.

Step-by-step explanation:

To find how approximately how many moons could fit inside the earth, you would need yo find the volumes the earth and the moon.

V = 4/3 π r^3

Earth:

d = 2r

d = 7926 miles

7926 = 2r

3963 miles = r

V = 4/3 π (3963)^3

V = 4/3 π (62240377347)

V = 82987169796π cubic miles

Moon:

d = 2r

d = 2159 miles

2159 = 2r

1079.5 miles = r

V = 4/3 π (1079.5)^3

V = 4/3 π (1257963209.88)

V = 1677284279.83π cubic miles

Now you divide the volume of earth by the volume of moon to find how many moons can fit in earth

82987169796π ÷ 1677284279.83π =

approx 49

Tracy bought a new silk shirt. The shirt is on sale for 20% off the original price. If the original price was $56, what is the sales price of the shirt.
Group of answer choices
$11.20
$48.80
$44.80
$38.80

Answers

Answer:

$44.80

Step-by-step explanation:

$56 * 0.2 (%20) = $11.20

$56 - $11.20 = $44.80

Set up the proportion and solve for x. Show ALL work and box your answer

Set up proportion and solve for x... HELP ASAP?!?!!!! Plzzzzz

Answers

Answer:

x = 6

Step-by-step explanation:

Love proportions!

3x+2(x+6) = 35(21)

21(3x+2) = 35(x+6)

63x + 42 = 35x + 210

28x = 168

x = 6

Define probability. Each number from 1 to 20 is written on a slip of paper and placed in a hat. If a slip of paper is randomly-chosen from the hat, determine the probability that a prime number will be selected.

Answers

I believe that the answer is the addition of all the prime numbers as numbers themselves
Like 1 3 5 7 11 13 17 19 would be 9 numbers so 9/20
What the person above me said i believe is factually correct?

Jennifer is putting together a selection of flowers that has at most 12 flowers in it. She is choosing either roses or carnations. She wants to pick at least three roses and at least two carnations. Let r be the number of roses she uses and let c be the number of carnations she uses. Write a system of inequality’s that represents this scenario.

Answers

Answer:

r + c ≤12

r > 3

c > 2

Step-by-step explanation:

Jennifer is putting together a selection of flowers that has at most 12 flowers in it.

r = number of roses she uses

c = the number of carnations

At also means Less than or equal to.

It is represented by ≤

She is choosing either roses or carnations. She wants to pick at least three roses

r > 3

and at least two carnations.

= c > 2

Therefore, the system of inequality that represents this scenario is written as:

r + c ≤ 12

r > 3

c > 2

Andrea and Damian are collecting clothing items to donate. When they begin tracking their progress, Damian already has 5 items collected. Damian's goal is to collect 3 items per day, and Andrea's goal is to collect 4 items per day.

Answers

Answer:

5 days

Step-by-step explanation:

Given

Damian

[tex]Base\ Items = 5[/tex]

[tex]Rate = 3[/tex] daily

Andrea

[tex]Rate =4[/tex] daily

Required [Missing from the question]

How long will they get the same number of items

Represent the number of items with x and the days with y.

So:

For Damian

[tex]y = Base\ Items + Rate * x[/tex]

[tex]y = 5 + 3 * x[/tex]

[tex]y = 5 + 3 x[/tex]

For Andrea

[tex]y = Rate * x[/tex]

[tex]y = 4* x[/tex]

[tex]y = 4x[/tex]

Equate both expressions.

[tex]4x = 5 + 3x[/tex]

Collect like terms

[tex]4x - 3x = 5[/tex]

[tex]x = 5[/tex]

Hence, they will have equal amount of items after 5 days

Select ALL rational numbers below.

Answers

Answer:

27/sqrt9, 4^2 are the rational numbers

Step-by-step explanation:

All the other ones do not terminate, so this leaves these as the answers.

hope this helps!

What is the domain of the function y= (square root) x+4

Answers

Answer:

0 ≤ x ≤ ∞

Step-by-step explanation:

Square roots always need to be either equal to or greater than zero because it should be positive inside (unless we're working with imaginary numbers).

So the domain would be that x ≥ 0 (or the third choice ⇒ 0 ≤ x ≤ ∞).

Convert 0,0909 to a ratio of two integers

Answers

Answer:

not sure

Step-by-step explanation:

20 POINTSS PLEASE HELP

Answers

Answer:

14 units

Step-by-step explanation:

it's 7 the length of a shape doesn't change when it's just reflected over the x or y axis

What is the closest to 1 ??? I need explanation please

49/50
99/100
197/200
499/500
1003/1000

Answers

I would think the first 2 and the third one because two of the same numbers over each other are equal to 1

Once you find the total area of a composite figure, are you done with the problem?

Answers

Answer:

Yes, if the area is all you are asked to calculate.

Step-by-step explanation:

I’ll really appreciate it if you help me out with this one .

Answers

Here's link to the answer:

tinyurl.com/wpazsebu

Answer:

a=4.2

Step-by-step explanation:

The constant is 1.4 bc if u divide the numbers in y with the x that corresponds them, it will be 1.4

ex. 2.80 divided by 2 is 1.4

ex. 5.60 divided by 4 is 1.4

This means that

2×1.4 is 2.80

4×1.4 is 5.69 so

3×1.4 is 4.2

The upper-left coordinates on a rectangle are (-1, 7), and the upper-right coordinates are (4,7). The rectangle has an area of 20 square units. Draw the rectangle on the coordinate plane below.

Answers

Answer:

The answer is below

Step-by-step explanation:

The distance between the upper left coordinate and the upper right coordinate is the length of the rectangle. Hence:

[tex]length=\sqrt{(4-(-1))^2+(7-7)^2} =5\ units\\[/tex]

Area = length * breadth

20 = 5 * breadth

breadth = 4 units

The bottom left coordinate would have the same x coordinate as the upper left coordinate. Hence, bottom left coordinate = (-1, y₁)

The distance between the upper left coordinate and the bottom left coordinate is the breadth of the rectangle. Hence:

[tex]breadth=\sqrt{(-1-(-1))^2+(y_1-7)^2} =4\ units\\\\ y_1-7=\pm 4\\\\y_1=4+7=11\ \ or\ y_1=-4+7=3[/tex]

Since it is at the bottom, hence y₁ = 3. Hence bottom left coordinate = (-1, 3)

Bottom right coordinate has same y coordinate as bottom left coordinate and same x coordinate as upper right. Hence bottom right coordinate = (4, 3)

Please help i dont know if this is right? ​

Answers

"just do it"- adidas

just yolo it

in these equations a represents the vertical stretch or compression. A -a inverts the graph. h represents the horizontal transformation x-h translates to the right, x+k translates to the left. K translates vertically + up - down. Your B & C answers are correct. You need to fix your A & D answers.

distance between (-1,1), (-1, 7)? no need for explanation i just wanna see if my work is right before i turn it in

Answers

Answer:

6

Step-by-step explanation:

use M a t h w a y

Answer:

hey, so on that one guys odd question, you asked how to unfollow people

Step-by-step explanation:

if you go to your profile, where it tells your username, and bio and all that, and click on following. Find his account in the following list and click the little icon on the right! it should change to a different symbol :D Please stay safe girly!

is -x^2y^2 + 9x^4y^2 + 5x^2y^3 a monomial binomial or trinomial​

Answers

Answer:

Trinomial

Step-by-step explanation:

when you add like terms you still have 3 sets of different symbols 3= trinomial.

2.Five increased by product of x and three is 23. What is x?

3.Twice x deceased by four is 36. What is x?

4. The local craft fair charges the vendors a flat rate of $15 plus $5 for each hour that they spend at the fair. If the vendor owned $50, how many hours did he remain at the craft fair?

5. During the fall, you charge $8 to go to a house and rake the leaves and additional $6 for every hour that you take the yard. If you earned $32, how many hours did you spend raking the leaves?

6. You spent $1,400 on new furniture. The local furniture store allows you to make a down payment of $500 and then pay the remaining balance in three monthly payments. How much are the monthly payments?

7. A cellphone company charges $17 plus $0.25 for each text message sent. The total bill was 45.50. How many text were sent?

Sorry it’s a lot

Answers

Answer:

7 is 114 texts.

6 is 300 dollars.

5 is 4 hours.

4 is 7 hours.

I dont know about 2 and 3 (or i dont feel like trying)

Step-by-step explanation:

17 initial payment, 45.50-17=28.5.

28.5/0.25=114

image down below thx

Answers

Answer:

question 2 answer you wrote correct

question 3 answer is 20

Answer:

Q.2: 39, Q.3: 20 cups

Step-by-step explanation:

Q.2 Dog/Cat = 2/3

when Dog = 26,

26/cat = 2/3

cat = 26 x 3 / 2 = 39

Q.3 Sugar/Flour = 3/5

when sugar = 12 cups,

12/Flour = 3/5

Flour = 12 x 5 / 3 = 20 cups

7+ (-2)+9+(-5)
What is the toatal I need show work due at 11

Answers

Answer:

megl;r g;rmbr

Step-by-step explanation:

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