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

Marlon and Brent are each measrueing one of their shoes. Their shoes measure 15 inches in all. Marlon's shoe is 1 inch longer than Brent's shoe. How long is Brent's shoe?

Answers

Answer:

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Step-by-step explanation:

15 plus 1 equals 16 I hope this helps

A frying pan has a radius of 14 cm. What is the circumference of the pan?

Answers

88cm

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circumference = 2 x pi x radius
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[tex]\huge\underline\mathbb\purple{ANSWER\::}\\\\[/tex]

2. (4,0)

3. (6,1)

4. (-1,-3)

5. (2,0)

6. (-3,0)

[tex]\\\\\\[/tex]

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The Clayton family and the Mercado family are seeing a movie together in the theater. At the concession stand, Mr. Clayton paid $20 for 4 large popcorns and 2 large drinks that his family will share. Mrs. Mercado bought 4 large popcorns and 4 large drinks and paid $28. How much does each item (popcorn & drink) cost?

Answers

Answer:

Popcorn costs 4. Drink costs 2.

Step-by-step explanation:

4x4=16

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16+4=20

Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?

Answers

Answer:

6in

Step-by-step explanation:

Given data

Volume of the lockbox= 312 cubic inches

Height= 4in

Length= 13in

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The expression for the volume of box is

V= L*W*H

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Answer:

Step-by-step explanation:

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What is the total surface area of the figure below?
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0 275,1
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Answers

Answer:

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which one is bigger 6000 grams or 5000 kg

Answers

Answer:

[tex]5000kg \: is \: greater.[/tex]

[tex]as \: we \: know \: that \: 1000 \: gramm \: make \: 1 \: kg[/tex]

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Multiple Choice Question
Write 6 + 12x in a factored form.
A. 6(1 + 2x)
B. 6 + (1 + 2x)
C. 6(1+ 12x)
D. 6 + (1+ 12x)

Answers

Answer:

A. 6(1+2x)

Step-by-step explanation:

we take 6 as Common factor out of the equation

Find the area of a circle with a diameter of 12 cm.


Use π = 3.14 in your calculations.




A

37.68 cm²


B

113.04 cm²


C

144 cm²


D

452.16 cm²

Answers

Answer:

B

Step-by-step explanation:

The formula for area for a circle is [tex]a = \pi[/tex] x r^2

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Answers

Answer:

I hope this helps a little bit.

b) Here are the first four terms of another sequence.
7
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Answers

Answer:

[tex]a_{n}[/tex] = 4n + 3

Step-by-step explanation:

There is a common difference between consecutive terms, that is

11 - 7 = 15 - 11 = 19 - 15 = 4

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

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Answer:

to find surface area of cylinder

A=2πrh+2πr²

Step-by-step explanation:

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Answers

Answer:

No

Step-by-step explanation:

I believe you have to approximate or round it off.

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Answers

Answer: $18.90

Step-by-step explanation:

Answer:

$1.1

Step-by-step explanation:

= 5.5% × $20

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The measure of EFH is twice the measure of GFH. What is the
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I NEED HELP ASAP

Answers

Answer:

30° =  m∠GFH

Step-by-step explanation:

Since ∠EFH and ∠GFH are complementary, the sum of their measures i 90.

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2x = m∠EFH

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Answers

Answer:

that is 5/4 to the lowest Terms

Answer:

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Used a calculator.

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Answers

Answer:

Hot dogs: $2.75

Sodas: $1.5

Step-by-step explanation:

Hot dogs = x

Sodas = y

4x + 3y = 15.5

3x + 2y = 11.25

First find the value of the hot dogs by canceling out y:

2(4x + 3y) = 2(15.5)

3(3x + 2y) = 3(11.25)

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Answers

56 is your answer.

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If 12% of the air leaks out of Brian's bicycle tire every day, what percent of the air will be left after 2 days? After a week? Round your percents to 2 decimal places.

Answers

Answer:

77.44%

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Step-by-step explanation:

If 12% leaks everyday, on the first day 12% would leak, leaving 100 - 125 = 88% of air

on the second day, 12% of 88% would leak = 0.88 x 0.12 = 0.1056

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if a sector of a circle has a radius of 15m and an arc length of 25 meters, find the central
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Answers

Answer:

25

Step-by-step explanation:

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Answers

Answer:

24¾

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Answers

Answer:

33

Step-by-step explanation:

In ΔPQR,

length of side=

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33

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[tex]\frac{HG}{FG} =\frac{RQ}{PQ}[/tex], insert given values

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84*?=36*77

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Answers

Answer:

A'= (0,-4)

B'= (2,-1)

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Step-by-step explanation:

After you flip it over the x-axis, it would be

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Answers

D = 101/4
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What number 10times greater than 0.03

Answers

Answer:

A number that is 10 times greater than 0.03 A number that is 1000 times greater than 3 1 10 the value of 30 3 1 100 of 3 0.03 so the  number that is 10 times greater than is 0.3

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Step-by-step explanation:

What is the exact circumference of the circle?

Answers

Answer:

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Step-by-step explanation:

the diameter of the circle would be equal to the diagonal of the square.

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D² = 5² + 5²

D² = 50

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Answer:

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¿ ʇᴉ ǝʌlos noʎ uɐɔ

[tex] {12}^{2} + {5}^{2} = x[/tex]

Answers

Answer:

x= 169

Step-by-step explanation:

12*12= 144

5*5= 25

x= 144+25

x= 169

....

Answer:

here's the solution :-

=》

[tex]x = {12}^{2} + {5}^{2} [/tex]

=》

[tex]x = 144 + 25[/tex]

=》

[tex]x = 169[/tex]

another question of the homework

Answers

Answer:

Jessica's trains travels at a faster speed

Step-by-step explanation:

From the question,

Using the graph,

The total distance distance traveled by Khalid after 2 hours is

d = 280 mi.

S = d/t....................... Equation 1

Where S = Khalid's speed, d = Khalid's distance, t = time.

S = 280/2

S = 140 mph.

From the euqation,

The total distance traveled by Jessica after 2 hours is

y = 150×2

y = 300 mi.

Also Using

S' = d'/t

Where S' = Jessica's speed, d' = Jessica's distance

S' = 300/2

S' = 150 mph.

From the above, Jessica's trains travels at a faster speed

A canister holds 3 blue pens, 4 black pens, 2 red pens, and 6 pencils. The simplified ratio of ALL the pens to pencils is

Answers

Answer:

The simplified ratio of ALL the pens to pencils is

= 3:2

Step-by-step explanation:

A canister holds 3 blue pens, 4 black pens, 2 red pens, and 6 pencils.

Step 1

Sum of all the pens is:

Blue pens + Black pens + Red pens

= 3 + 4 + 2

= 9 pens

Number of pencils = 6 pencils

Step 2

The simplified ratio of ALL the pens to pencils is

Pens : Pencils

= 9 : 6

= 3:2

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