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adelina 88 [10]
3 years ago
15

Find an expression equivalent to 1-sinx ^2/1-cosx ^2

Mathematics
1 answer:
madam [21]3 years ago
8 0

Answer:

cot²x

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1, then

1 - sin²x = cos²x

1 - cos²x = sin²x

Thus

\frac{1-sin^2x}{1-cos^2x} = \frac{cos^2x}{sin^2x} = cot²x

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what is the circumference of a circular swimming pool with a diameter of 6 1/2 feet use 22 over 7 for pi
olganol [36]

Answer:

20.428571

Step-by-step explanation:

C=(22/7)d

C=(22/7)6.5

C=20.428571

7 0
2 years ago
Read 2 more answers
Find the perimeter of the polygon with the vertices A (-1,5), B (-1,-4), C (-6,-4), and D (-6,5)
ch4aika [34]

68

Schools almost over, good luck!!

5 0
3 years ago
Nicole has a job transporting soft drinks by truck. Her truck is filled with cans that weigh 14 ounces each and bottles that wei
Rufina [12.5K]

Answer:

W_{total} =  -56X + 68600

Step-by-step explanation:

We wil define:

1) "x" as number of cans inside the truck.

2) "y" as number of bottles inside the truck.

We now that the amount of both cans and bottles inside the truck is "980". This quantity is equal to the sum of cans and bottles, so now we can write:

X+Y=980

We will call this expression equation n° 1.

On the other hand, we know that the total weight is a sum of the weight of the cans and the weight of the bottles. The total weight of the cans, for example, is the result of  multiplying the numbers of cans in the truck with the weight of each can, like here: (W_{cans} = X * 14 oz

So now we can write:

W_{total} = (X*14oz) + (Y*70oz)

We well call this expression equation n° 2.

From equation n°1 we obtain "y", like this:

X + Y = 980\\Y = 980 - X

And we replace it in equation n°2:

W_{total} = (X*14) + (Y * 70)\\\\W_{total}  = 14X + 70Y\\W_{total}  = 14X + 70(980-X)\\W_{total}  =  14X + 68600 - 70X\\W_{total} =  -56X + 68600

Now we have the expression of the total weight considering the amount of cans in the truck.

*** IMPORTANT: there is a character similar to an "A" that i can't erase, maybe is a mistake from brainly. Do not consider it as part of the solution.

5 0
3 years ago
Write an equation for the nth term of the arithmetic sequence. Then find a 10
Arlecino [84]
An=a1+d(n-1)
a1=first term
an=nth term
d=common dffernce

given
first term is -5
it increases by 1

an=-5+1(n-1)
a10
a10=-5+1(10-1)
a10=-5+1(9)
a10=-5+9
a10=4

10th term or a10 is 4
7 0
3 years ago
4.05 repeating as a mixed number
Alisiya [41]

4.05 with (05) repeating if converted to a fraction or mixed number will be

4\frac{5}{99}.

As per the question statement, we are provided with a repeating decimal, 4.05 with (05) repeating.

We are required to convert the repeating decimal into a mixed number.

To solve this question, we need to know the formula to convert any repeating decimal number to a fraction which goes as:

\frac{[(DN*F)-NRF]}{D}

Where, DN denoted the concerned Decimal Number,

(F = 10) if one repeating is number, 100 if two repeating numbers, 1000 if three repeating numbers and so on.

NRP denotes the Non-repeating part of decimal number.

And, D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, and so on, similar to F.

Then, using our given data in the above formula, we get

4.05 with (05) repeating = \frac{(4.05*100)-4}{99}=\frac{(405-4)}{99}=\frac{401}{99}=4\frac{5}{99}.

  • Repeating Decimal: A repeating decimal, also called as Recurring Decimal, is a decimal number that consists of digits repeating after a fixed interval after the decimal point.

To learn more about Repeating Decimal, click on the link below.

brainly.com/question/820308

#SPJ9

8 0
2 years ago
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