Prove that
cos 9°+sin 9°/cos9°-sin9° =cot 36°
plzz fasstttt i need to writw this!!!!!!!!!​

Answers

Answer 1

Answer:

Step-by-step explanation:

LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)  

Divide by Numerator  and Denominator   by  Cos9°  

LHS = (1 + Tan9°) / (1 - Tan9°)

       = (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)  

       = Tan (45°+9°)  

       = Tan 54°

       = Cot 36°

hope it helps :)


Related Questions

Find the area of the base of a box of height 4cm and lateral surface area 120cm.sq if its length is twice its breadth.

Answers

Answer:

The area of the base of a box is 1800 cm².

Step-by-step explanation:

We have:

H: is the height = 4 cm

[tex]A_{l}[/tex]: is the lateral surface area = 120 cm

L = 2B                                                                

We can find the breadth of the base by using the lateral surface area and the height:

[tex] A_{l} = H*B [/tex]        

[tex] B = \frac{A}{H} = \frac{120 cm}{4 cm} = 30 cm [/tex]

Now, if the length is twice its breadth we have:

[tex] L = 2B = 2*30 cm = 60 cm [/tex]

Hence, the area of the base is:

[tex] A_{b} = B*L = 60 cm*30 cm = 1800 cm^{2} [/tex]

Therefore, the area of the base of a box is 1800 cm².

I hope it helps you!                                                        

PLEASE HELP FAST - THIS IS 40 PERCENT OF MY GRADE- I WILL MARK BRAINLY

Answers

Answer:

theres nothing there

...

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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how to solve problems on this website

Answers

Answer:

You go to whoever's question you wanna answer and it should say "add answer" and just type out your answer and solve it

Answer:

Theres a "add answer" just click on that and u will be able to add

Step-by-step explanation:

what is the interest on RS. 1000 at 10 p.c.p.a for 1 year.​

Answers

Answer:

Interest wil be 10% of 100  which is 10

So,  interest will be Rs.10

And total amount to be payed will be 100+10 which is Rs.110

Answer:

Interest= Rs. 10

Step-by-step explanation:

Interest of Rs.100 on 10 p.c.p.a is 10% of 100

i.e., 100*10/100 = 10

Thus we have 10 as the interest

help please!!
Find the missing length indicated. Round to the nearest hundredth (two decimal places), if needed.

Answers

26 I think (i'm not sure please correct me.)

If the school has 90 students, there are how many sixth graders?

Answers

Answer:

29

Step-by-step explanation:

Answer: Depends on the number of grades

Step-by-step explanation:

School has up to 6th grade: 15

School has up to 7th grade: 12

School has up to 8th grade: 11

School has up to 9th grade: 10

School has up to 10th grade: 9

Need more grades? Comment please

Sally's dance school had 60 students last year. This year there are only 48 students enrolled. By
what percent did the enrollment decrease? Show all of your work to justify your answer.

Answers

Answer:

20%

Step-by-step explanation:

60-48=12

changed ÷ original x 100%

= 12 ÷ 60 x 100%

= 20%

Inscribed angles!!

Find A, B, and C

Answers

sum of all exterior angles equals to 360

sum of interior angles equal to 180

divide 360 by 122 to find b the rest you'll get it

as you go further in the question

Help Pls!!! Will give brainliest

Answers

Answer:

a

Step-by-step explanation:

ill mark brainlist plss help

Answers

he is going to need 37.5 ounces I guess

plz help me with this asap
81x^2 − 49y^2
Factorize each completely
1. y^2 − 1
2. x^2 − 2^2
3. x^2 − 4y^2
4. x^2 − 25b^2
5. 36 − 9m^2
6. 36a^2 − 169x^2

7. 81x^2 − 49y^2
8. 49r^2 − 16s^2
9. 144x^2 − 49
10. 64x^2 − 25
11. 81a^2 − 64b^2
12. 1 − 16x^2
13. 49x^2 − 1
14. (a + b)^2 − 2^2
15. (a − b)^2 − 1

Answers

Answer:

i will answer THIS.. just give me some time

A collector bought 47 coins at auction, some bronze and some silver. The bronze coins cost him $ 14 each and the silver coins, $ 18 each. If in total he spent $ 750, how many bronze coins did he buy and how many silver?

(with the steps)

please help me, it's for an exam

Answers

24 bronze coins and 23 silver coins

B= bronze coins S = silver coins
$14xB + $18 x S =$750
B + S = 47 total coins
Get in terms of S=47-B by subtracting B from each side, then replace the S in the first equation with this so that:
14xB+18x(47-B)=750
14B+846-18B=750
Subtract the 846 and combine the abs
-4B=-96 then divide the -4 on both sides
To get B=24 then 47-24=23=S

The sides of a triangle formed a geometric progression with a ratio r. For what values of r, it is possible?

Answers

Answer:

ok so i really shouldnt get points for this, but i wanted to help. The person who solved the problem here:  https://math.stackexchange.com/questions/2911546/suppose-the-sides-of-a-triangle-form-a-geometric-progression-with-common-ratio-r     is correct, but it is not very clear. Basically, he rounded to the third decimal point (since a sqrt has infinate decimals), and this might have been what got you the wrong answer. Basically the important thing is that r has to be between the (-1+√5)/2 and (1+√5)/2, or (-1+√5)/2 < r < (-1+√5)/2

awnser for brainliest and why u chose the awnser

Answers

Answer:

6 kilometers. This is because A,B, and C are all around 18 feet. However, 6 km = 19,685 feet and that is unrealistic.

Segment AB is being dilated with the center at the origin. The image of A, point A prime, has coordinates of (3.2, 6.4). What is the scale factor of the dilation and the coordinates of point B prime?

Answers

Step-by-step explanation:

The location of A is 3.2

The location of A' is 6.4

A represent pre image A' represent the new image.

The scale factor of A to A' is 2 since 3.2 x 2 =6.4

Since you didnt provide B coordinates, just multiply 2 by the B coordinate to find the B prime coordinate.

Answer: A.)The scale factor is 0.8 and the coordinates of point B prime are (–3.2, –4.8).

Step-by-step explanation: i hope this helps im sorry if this didnt help

can someone solve this question plzzzzzzz ill give brainliest

Answers

Answer:

17 to 24

25 to 32

Step-by-step explanation:

8-1=7

16-9=7

therefore it means we add 7 on the next number which is 17; to get 24,and also to the next number after 24 which is 25 to get 32

Answer: 17 to 24 then 25 and 32

Step-by-step explanation:

Seriously Stephanie u needed help with this? Anyways glad I can help.

Steven has 1 bag that contains disks numbered 1, 2, 3. He also has a second bag that contains four disks named A, B, C, and D. Construct a sample space of picking one disk randomly for each bag and state the total of outcomes possible

Answers

Answer:

Total possible outcomes = 12

{A1 ; A2 ; A3 ; B1; B2;B3;C1;C2;C3;D1;D2;D3}

Step-by-step explanation:

Bag 1 = { 1, 2, 3}

Bag 2 = {A, B, C, D}

Sample space :

Size of bag A * size of bag B

3 * 4

= 12

what's
[tex] \sqrt{225} [/tex]

Answers

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

15

Step-by-step explanation:

Hope it is helpful....

Answer:

The Square root of 225 is 15

what's the inequality for 15x + 21 ≥ 120​

Answers

X>= 6.6 is your answer

f(x)=2x^2+9

Find f(-5)

Answers

Answer:

59

Step-by-step explanation:

Given

f(x) = 2x² + 9

f ( -5) = 2 * ( -5)² + 9

= 25 * 2 + 9

= 50 + 9

= 59

════════ ∘◦❁◦∘ ════════

Answer = 59

════════════════════

Known

f(x) = 2x² + 9

════════════════════

Question

f(-5) = ?

════════════════════

Way to do

#as you the x inside the (x) changed into (-5) it means that you need to change the x into -5.

f(-5) = 2(-5)² + 9

= 2 × 25 + 9

= 50 + 9 = 59

#So f(-5) = 59

════════════════════

solve it...........!!!!​

Answers

Answer:

I think it is correct and is 1 and 2

Step-by-step explanation:

5×4^(x+1)-16^x=64

0=64+16^x-5×4¹×4^x

0=(4^x)²-2×4^x×10+10²-10²+64

0=(4^x-10)²-36

(4^x-10)²=36

4^x-10=√36

4^x=+-6+10

when positive

4^x=4²

:.x=2

when negative

4^x=4

:.x=1

:.x=1,2 answer.

What is the factorization of the trinomial below?
3x3 - 18X2 + 24x

Answers

Answer:

75

Step-by-step explanation:

Answer:

3x3 - 18×2 + 24x = 75

Step-by-step explanation:

my mind is my friend

Gavyn and Alex win some money and share it into the ratio 1:4. Gavyn gets £6. How much does Alex get?

Answers

He gets 1.5 of it hope that help

PLZ HELP ME PLZZZ I WILL GIVE BRAINLIEST......I REALLY NEED THE ANSWERS.

Answers

Answer:

2,4,2,1.7

Step-by-step explanation:

What is the determinant of H=

Answers

Answer:

The answer is -7

Step-by-step explanation:

I took the test! Hope this helps <3

it's math please help me math lovers
[tex] \\ \\ \\ find \: product \\ \frac{18}{30} \times \frac{5}{4} \\ multiply \\ 4 \frac{1}{8} \times \frac{1}{9} \\find \: product \\ \frac{15}{18} \times \frac{6}{9} \times \frac{27}{21} \\ \\ multiply \: help \: of \: diagram \\ \frac{1}{4} of\frac{1}{2} \\ \\ mulytiply \: and \: convert \: into \: mix \: fraction \: \\ 3 \times \frac{7}{70} \\ \\ solve \\ (6 \times \frac{1}{4}) \times \frac{1}{2} \times \frac{1}{2} [/tex]

Answers

Required Answer:-

Find the product:-

[tex] \tt \dfrac{18}{30} \times \dfrac{5}{4} [/tex]

[tex] = \tt \dfrac{18 \times 5}{30 \times 4} [/tex]

[tex] = \tt \cancel\dfrac{18 \times 5}{30 \times 4} = \boxed{\tt\dfrac{ \: \: 3 \: \: }{4}} \: \: \: \: \: \: \: \: \: [/tex]

Multiply:-

[tex] \tt4 \: \dfrac{1}{8} \times \dfrac{1}{9} [/tex]

[tex] = \tt \dfrac{25}{8} \times \dfrac{1}{9} [/tex]

[tex] = \tt\dfrac{25}{8} \times \dfrac{1}{9} [/tex]

[tex] = \tt \cancel\dfrac{25 \times 1}{8 \times 9} = \cancel{ \tt\dfrac{ \: \: 25 \: \: }{72}} [/tex]

[tex] = \boxed{\tt\dfrac{ \: \: 1 \: \: }{3 }} [/tex]

Find the product:-

[tex] \tt \dfrac{15}{18} \times \dfrac{6}{9} \times \dfrac{27}{21} [/tex]

[tex] = \tt \cancel\dfrac{15 \times 6 \times 27}{18 \times 9 \times 25} [/tex]

[tex] = \boxed{\tt \dfrac{ \: \: 5 \: \: }{7}} [/tex]

Multiply:-

[tex] \tt \: 3 \: \dfrac{7}{70} [/tex]

[tex] = \tt \cancel\dfrac{3 \times 7}{1 \times 70} = \boxed{ \tt\dfrac{ \: \: 3 \: \: }{10}} [/tex]

Solve:-

[tex] \tt(6 \times \dfrac{1}{4}) \times \dfrac{1}{2} \times \dfrac{1}{2} [/tex]

[tex] = \tt \cancel{( \dfrac{3 \times 1}{1 \times 2} )} \times \dfrac{1}{2} \times \dfrac{1}{2} [/tex]

[tex] = \tt(\dfrac{3}{ \: \: 2 \: \: }) \times \dfrac{1}{2} \times \dfrac{1}{2} [/tex]

[tex] = \tt\dfrac{3}{ 2 } \times \dfrac{1}{2} \times \dfrac{1}{2} \: \: \: \: \: \: \: \: = \boxed{ \tt \dfrac{ \: \: 3 \: \: }{8}} [/tex]

Hi! Please without looking it up I am doing my writing and speaking test for Spanish and I'm trying to figure out what is "Then" in Spanish...Mind you they use translator detectors so please don't look it up and just help me with it. This is the sentence "There are more tables in the kitchen then in my room." I literally just need to know what "Then" is in Spanish! Thank you!

Answers

Answer:

The sentance you but then would be than which would be Hay más mesas en la cocina que en mi habitación but the word then would be entonces and example sentance is entonces iré allí which is then i will go over there

and than is que, an example sentace en lugar de que yo vaya allí which is rather than me going over there

Step-by-step explanation:

Answer:

Hi Alycia! The answer to your question is Hay más mesas en la cocina que en mi habitación

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

xD

Sketch graph for y=x^2+x-12

Answers

Answer:

graph your welcome :)

Step-by-step explanation:

hope this helps! try using the app Desmos if you have difficulty drawing graphs!

TRUE or FALSE: The equation 2x + 3y = 32 is not an example of a linear equation in two variables ( I uh need this now-)

Answers

Answer:

False

Step-by-step explanation:

It is a linear equasion because it's in ax+by=c form

Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if one angle is 6º more than three times the other angle. ​

Answers

Answer:

The two angles are 69° and 21°.

Step-by-step explanation:

Write out the expression:

let x and y be two angles that are complementary and the sum of their measures is 90°

-> x° + y° = 90°

if one angle is 6º more than three times the other angle:

-> x° = 6° +3y°

Plug x = 6+3y into x° + y° = 90°

6° + 3y° + y° = 90°

Solve for y

4y° = 84°

y° = 21°

Plug y into x° + y° = 90°

x° + 21° = 90°

Solve for x°

x° = 90° - 21° = 69°

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