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4 years ago

How many sixteenths are in 15/16

Mathematics

2 answers:

elena55 [62]4 years ago

7 0

To get this, you need to divide 15/16 by 1/16. To do it, multiply 15/16 by 16 and you get 15 as your answer.

scZoUnD [109]4 years ago

4 0

Answer:15

Step-by-step explanation:

Since a sixteenth is represented by 1/16

Hence to find out the number of sixteenth in

15/16 we have to divide it by 1/16

We have (15/16)/1/16

Simplifying we have 15/16*16/1

Hence we have 15.

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Simplify tan9x-tan5x / 1+tan9xtan5x<br> (SHOW WORK)

Charra [1.4K]

Answer:

The simplest form is tan(4x)

Step-by-step explanation:

* Lets revise the identity of the compound angles

- $tan(a+b)=\frac{tan(a)+tan(b)}{1-tan(a)tan(b)}$

- $tan(a-b)=\frac{tan(a)-tan(b)}{1+tan(a)tan(b)}$

* Lets solve the problem

- Let 9x = 5x + 4x

∴ tan(9x) = tan(5x + 4x)

- Use the rule of the compound angle

∵ $\frac{tan(9x)-tan(5x)}{1+tan(9x)tan(5x)}$ ⇒ (1)

∵ $tan(5x+4x)=\frac{tan(5x)+tan(4x)}{1-tan(5x)tan(4x)}$ ⇒ (2)

∵ tan(9x) = equation (2)

- Substitute (2) in (1)

∴ $\frac{\frac{tan(5x)+tan(4x)}{1-tan(5x)tan(4x)}-tan(5x)}{1+(\frac{tan(5x)+tan(4x)}{1-tan(5x)tan(4x)})tan(5x)}$

- Multiply up and down by (1 - tan(5x)tan(4x))

∴ $\frac{tan(5x)+tan(4x)-tan(5x)[1-tan(5x)tan(4x)]}{1-tan(5x)tan(4x)+tan(5x)[tan(5x)+tan(4x)]}$

- Simplify up and down

∴ $\frac{tan(5x)+tan(4x)-tan(5x)+tan^{2}(5x)tan(4x)}{1-tan(5x)tan(4x)+tan^{2}(5x)+tan(5x)tan(4x) }$

∴ $\frac{tan(4x)+tan^{2}(5x)tan(4x)}{[1+tan^{2}(5x)]}$

- Take tan(4x) as a common factor up

∴ $\frac{tan(4x)[1+tan^{2}(5x)]}{[1+tan^{2}(5x)]}$

- Cancel [1 + tan²(5x)] up and down

∴ The answer is tan(4x)

4 0

4 years ago

Tell me the coordinates to graph it plz

Katarina [22]

Answer:

x=2, y=3

Step-by-step explanation:

7 0

3 years ago

Please help! not sure how to start.

bearhunter [10]

First simplify it so it would become -1 x^2 over 6 x^5
then you need to simplify the x's so do 5-3 so the final answer is -1 over 6 x^3

3 0

4 years ago

Jean is trying to read her grocery receipt , but it is blurry . the sales tax rate was 7.75% . she pays tax only on the Items la

Margaret [11]

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5 0

3 years ago

V divided by 4 minus 10 =5 what is v?

love history [14]

The answer is 60
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7 0

3 years ago

Read 2 more answers