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Fantom [35]
3 years ago
11

Simplify 1+tan^2 x / tan^2 x a) sin^2 x b) csc^2 x c) sec^2 x d) cos^2 x

Mathematics
1 answer:
rodikova [14]3 years ago
5 0

Answer:

cosec²x is the answer

Step-by-step explanation:

\frac{1+tan^2x}{tan^2x} \\\\\frac{sec^2x}{tan^2x} \\\\\frac{\frac{1}{cos^2x} }{\frac{sin^2x}{cos^2x} }\\\\\frac{1}{sin^2x}\\\\cosec^2x

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The royal fruit company produces two types of fruit drinks the first type is 70% pure fruit juice and the second type is 95% pur
Ipatiy [6.2K]
This is a typical mixture problem where using a table is the best thing.
                 pints juice        % juice     =      total % juice
juice A            x                  .70          =        .70x
juice B        60-x                 .95          =    .95(60-x)
total              60                  .75          =    60(.75)

The last row gives you a total that you need to use, so do that multiplication to get 45. You now to need to add the last columns together for rows 1 and 2 and set them equal to 45: .7x +.95(60-x) = 45. When you do that math, you'll get that x = 48. This means that you need 48 pints of juice A and 60-48 pints of juice B, which is 12 pints.
6 0
3 years ago
Convert to scientific notation ​
andreev551 [17]

Answer:

8.245*10^6

Step-by-step explanation:

scientific notation is known as c*10^n

c : any number from 1-10

n : the power of base 10

the number in our case between 1 and 10 is 8.245

but then we want to move the decimal 6 spaces to the right, so we multiply that by 10^6

8 0
3 years ago
Ben has 2 identical pizzas.
Varvara68 [4.7K]
Let the weight if a whole pizza be x grams

Then 1/4 of a pizza weighs x/4  grams and one eighth weighs x / 8.  The difference is 32 grams so we can make the following equation:-

x/4 - x/8  = 32
x / 8  = 32
Multiplying both sides by 8:-

x = 8*32 =  256 

Answer is 256 grams.

6 0
3 years ago
HELP<br><br><br><br><br> QUICK<br><br><br><br><br> LOL THANKS !!!
Anon25 [30]

Answer:

0.6

Step-by-step explanation:

The x increases by 5, while y increases by 3

Lets use the method, which is \frac{rise}{run}.

Keep in mind that x goes horizontally along the axis, while y goes vertically on the axis.

So plug the numbers in.

\frac{3}{5} = 0.6

Hence, the constant proportionality is 0.6.

8 0
3 years ago
Read 2 more answers
3. What is the scale factor of Figure B to Figure A?
xxMikexx [17]

Answer:

2.5

Step-by-step explanation:

From the diagram, figure B was enlarged to obtain figure A.

The two figures are therefore similar.

The corresponding sides are in the same proportion. That constant value of the proportion is called scale factor.

It is given by:

k =  \frac{image \: length}{corresponding\:object \: length}

Figure B is the image of A

k =  \frac{10}{4}  =  \frac{25}{10}  = \frac{21.5}{8.6} =   2.5

Therefore the scale factor is 2.5

4 0
3 years ago
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