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suter [353]
3 years ago
12

Sin^2xcsc^2x=sin^2x+cos^2x

Mathematics
1 answer:
Otrada [13]3 years ago
3 0
The second part = 1

the second part could be written sin²x.(1/sin²x), since cscx =1/sinx

hence 1 = 1
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Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and Charlie in that order. Each customer buys more scones th
Korvikt [17]
Robbie bought the smallest amount. Let's use x for that amount.
Let's use n for amount that each following customer increases.

We have:
Robbie=x
Cameron=x+n
Louis=x+n+n
Tom=x+n+n+n
Charlie=x+n+n+n+n

We know that they bought total of 60 scones.
Robbie + Cameron + Louis + Tom + Charlie = 60
x + x+n + x+n+n + x+n+n+n + x+n+n+n+n = 60
5x + 10n = 60 /:5
x + 2n = 12

We are also given this information:
(Robbie + Cameron) = 3/7 * (Louis + Tom + Charlie)
We insert the equations from above:
(x + x+n) = 3/7 * (x+n+n + x+n+n+n + x+n+n+n+n) 
2x + n = 3/7 * (3x + 9n) /*7
14x + 7n = 3* (3x + 9n)
14x +7n = 9x + 27n
We take everything on the left side.
14x + 7n - 9x - 27n = 0
5x - 20n = 0/:5
x - 4n = 0

Now we have two equations:
x + 2n = 12
x - 4n = 0
We solve second one for x and insert it into first one.
x + 2n = 12
x = 4n

4n + 2n =12
6n = 12 /:6
n = 2
x=4*2
x=8


Now we can solve for the amount for each customer.
Robbie=x = 8
Cameron=x+n = 8 + 2 = 10
Louis=x+n+n = 8 + 2 + 2 = 12
Tom=x+n+n+n = 8 + 2 + 2 + 2 = 14
Charlie=x+n+n+n+n = 8 + 2 + 2 + 2 + 2 = 16
7 0
2 years ago
PLEASE HELP ME I BEG YOU !!!
boyakko [2]
Hi,

f(x)=\log(x)   FALSE

f(x)=\log(x-4)+1  TRUE

→  f(x)=\log(x-2)

f(x)=\log(x+2)  FALSE

f(x)=2log(x)  TRUE
4 0
3 years ago
Read 2 more answers
Kim and Amy left a 20% tip after having dinner. The amount of the tip was $5. Kim’s dinner cost $15. What was the cost of Amy's
victus00 [196]

Answer

$10

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
mrs perry shares out 15 biscuits between 2 people with a ratio in 1:2 how many biscuits will they both get
Charra [1.4K]
There are 3 parts to the ratio so...
First we divide the total number of objects we are sharing (in this case 15 biscuits) by the number of parts in the ratio (3)
15 / 3 = 5
Then we know that each part of the ratio is worth 5 biscuits. So we times each part of the ratio by how many biscuits are in one part...
1 x 5 = 5
2 x 5 = 10
So when the biscuits are shared into the ratio 1:2, the number of biscuits in each are 5:10
Hope this helps :)

5 0
3 years ago
Simplify the equation <br><br> 4(-8x + 5) - (-33x - 26)= ???
kkurt [141]

- 16 x+ 20 + 33x  + 26 \\ 17x + 46
4 0
3 years ago
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