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4 years ago

Prove sin^2(pi÷8+a)-sin^2(pi÷8-a)=√2÷2sin 2a help me, thanks

Mathematics

1 answer:

Mkey [24]4 years ago

5 0

Answer:

True

Step-by-step explanation:

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How do I set up proportion’s and also cross multiply

xenn [34]

Answer:

u transpose all the constans to one side of the '=' sign and solve

Step-by-step explanation:

for example,

in the first question

the sides of the triangles are proportional then,

25/30 = x/ 10

=> (25x10)/30 = x

=> 250/30 = x

=> 8.33

im pretty sure like this u can do the rest, ;)

6 0

3 years ago

Kabul’s bookshop marks up all books by 40 percent of their cost. The overhead rate is 16 percent of the selling price. What is t

morpeh [17]

Answer:

The net profit rate on the book is 5.41

Step-by-step explanation:

Given as :

The marks up percentage of book = m = 40%

The overhead rate is 16% of selling price

The cost price of book = c.p = $18.10

Let The profit = $p

Let The selling price = s.p

<u>Now, According to question</u>

mark up percentage = $\dfrac{s.p - c.p}{c.p}$

I.e 40% = $\dfrac{s.p - 18.10}{18.10}$

Or, $\dfrac{40}{100}$ + 1 = $\dfrac{s.p}{18.10}$

Or, $\dfrac{140}{100}$ = $\dfrac{s.p}{18.10}$

Or, s. p = $\dfrac{140\times 18.10}{100}$

∴ s.p = $25.34

So, selling price of book = s.p = $25.34

Now, The overhead percentage = 16%

i.e overhead rate = $\dfrac{\textrm estimated cost}{\textrm estimated total base unit}$

Or, estimated cost = 16% × 25.34

I,e estimated cost = 0.16 × 25.34

∴ estimated cost = $4.05

Now,

Profit = selling price of book - estimated book cost

I.e p = $25.34 - $4.05

∴ p = $21.29

So, The profit rate% = $\dfrac{\textrm profit}{\textrm estimated cost}$

I.e The profit rate% = $\dfrac{21.29}{4.05}$

∴ profit rate %= 5.41

So, The profit rate = p = 5.41

Hence, The net profit rate on the book is 5.41 Answer

4 0

3 years ago

How many 1/8th are in 1 2/16

mamaluj [8]

Answer:

Step-by-step explanation:

2/16 can be rewritten into 1/8

so 1 1/8 is 9/8

So there are 9 1/8ths in 1 2/16

Hope this helps!

6 0

2 years ago

Read 2 more answers

PLEASE ANSWER THIS ILL GIVE BRAINLIEST

german

Answer:

(-4, -5)

Step-by-step explanation:

-4x + 2y = 6

-4x + 2(x - 1) = 6

-4x + 2x - 2 = 6

-2x - 2 = 6

-2x - 2 + 2 = 6 + 2

-2x = 8

-2x/-2 = 8/-2

x = -4

------------------------

y = x - 1

y = -4 - 1

y = -5

-------------------------

-4(-4) + 2(-5) = 6

16 + -10 = 6

6 = 6

5 0

3 years ago

A pizza is cut into slices that are each \dfrac16 6 1 start fraction, 1, divided by, 6, end fraction of the whole. john is goi

Hitman42 [59]

For this case, the first thing we must do is calculate the number of slices.
We have then:
N = (whole pizza) / (1/6 whole pizza)
N = (1) / (1/6)
N = 6 slices
We now calculate the amount of slices that John will eat:
Slices = (1/2) * (6)
Slices = 3
Answer:
john will eat 3 slices

3 0

3 years ago

Read 2 more answers

Prove sin^2(pi÷8+a)-sin^2(pi÷8-a)=√2÷2sin 2a help me, thanks​

Prove sin^2(pi÷8+a)-sin^2(pi÷8-a)=√2÷2sin 2a help me, thanks