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3 years ago

Which is the value of the expression ((10^4)(5^2)/(10^3)(5^3))^3

Mathematics

1 answer:

dimulka [17.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

Let's set this up to see if we can simplify it a bit:

$(\frac{10^4*5^2}{10^3*5^3})^3$

Notice we have 4 tens on top and 3 on bottom, so we can eliminate the bottom 3 altogether and leave just one on top. And we have 2 fives on the top and 3 on bottom, so we can eliminate the 2 on the top and leave one on the bottom. Now that looks like this:

$(\frac{10}{5})^3$

10 divided by 5 is 2, and 2 cubed is 8

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Sin5A/SinA-cos5A/cosA=4cos2A

irina1246 [14]

Answer:

See Explanation

Step-by-step explanation:

$\frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ LHS = \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} \\ \\ = \frac{ \sin5A \:\cos A - \cos5A \: \sin A}{\sin A \:\cos A } \\ \\ = \frac{ \sin(5A -A )}{\sin A \:\cos A} \\ \\ = \frac{ \sin 4A}{\sin A \:\cos A} \\ \\ = \frac{ 2\sin 2A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 2 \times 2\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 4\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ =4\cos 2A \\ \\ = RHS \\ \\ thus \\ \\ \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ hence \: proved$

5 0

3 years ago

Every day, 500 airplanes in San Francisco incur an additional 30 minutes of airport delays when flying into or out of the airpor

rusak2 [61]

A. San Francisco is the largest opportunity cost

4 0

3 years ago

Read 2 more answers

Is -3x=15 a function

lutik1710 [3]

Yes because the answer would be

X=5

6 0

3 years ago

Casey orders 3 pizzas and 2 orders of breadsticks for a total of 30.00. Rachel orders 2 pizzas and 3 orders of breadsticks for 2

barxatty [35]

Answer:

Step-by-step explanation:

x=pizza

y= breadsticks

3x+2y=30

2x+3y=25

first we myltiply the top equation with 3 and then w emultiply the lower equation with -2 so it is

9x+6y=90

-4x-6y= -50

now we can add them together and the y contracts

5x=40

now we divide it by 5

x=8

So pizza costs 8

3 0

2 years ago

I have 4 times as many 10-cent stamps as 3-cent stamps. I have one less 2-cent stamp than 3 cent stamp. If I have b2-cent stamps

gogolik [260]

Answer:

Value of stamp collection = (45b + 43) cents

Step-by-step explanation:

What we have here is as follows;

if there are x 3-cent stamps, then there are 4x 10-cent stamps

So the number of 2-cent stamps is 1 less than 3 cent stamps and that will be x-1 2 cent stamps

Number of 2 cents stamps = b

This means that x-1 = b

Thus, x = b + 1

So the value of the stamp collection is as follows;

x 3 cents stamps = 3(b+ 1) = 3b + 3 cents

4x 10 cents stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40

value of the 2 cents stamp = 2b cents

Total value is thus;

2b + 40b + 40 + 3b + 3 = (45b + 43) cents

5 0

3 years ago

Read 2 more answers