Answer: 19,990,000 times
Step-by-step explanation: Land area of Russia = 20000000
Land area of Puerto Rico = 10000
20000000 - 10000 = 19,990,000
Answer:

Step-by-step explanation:
Let
, we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:
(1)
(2)
Now we perform the operations: 



(3)
By the quadratic formula, we find the following solutions:
and 
Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

Then, the values of the cosine associated with that angle is:

Now, we have that
, we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:
(4)
(5)




If we know that
and
, then the value of the function is:


Answer
14.4 ft~
Step-by-step explanation
A kite is flying 12 feet off the ground, therefore the height is 12 (assuming the line is tied to the ground if a person is holding the line then the height would be less)
Assuming the sun is positioned in such a way that the shadow represents a horizontal distance. Horizontal distance of shadow = 8
Use Pythagoras Theorem
Where a^2 + b^2 = c^2
8^2 + 12^2 = 208
Square root 208 = 14.4~
~ Hoodini, here to help :)
Answer:
$457.45
Step-by-step explanation:
$506.14 - $48.69 = $457.45
Hope this helps!
Answer:
The heat is produced by a 150-W light bulb that is on for 20-hours is 10200 BTU.
Step-by-step explanation:
To find : How much heat (Btu) is produced by a 150-W light bulb that is on for 20-hours?
Solution :
A 150-W light bulb is on for 20-hours.
The heat produced by bulb is given by,


We know that,

Converting W-hr into BTU,


Therefore, The heat is produced by a 150-W light bulb that is on for 20-hours is 10200 BTU.