The answer is 36. The ruler and tree are measured at the same time, so the scaling is the same. You divide 12 by 8, which is 1.5. Since the height of the pine tree is what you are trying to find, you must multiply 24(the length of the shadow) times 1.5, which is how you get 36. :)
Answer:
x=6
Step-by-step explanation:
When we multiply exponents with the same base we add the exponents
When we divide exponents with the same base we subtract the exponents
4^3 * 4^3 ÷4^3 *4^3
We will work from left to right
Multiply means add
4^(3+3) ÷4^3 *4^3
4^6÷4^3 *4^3
Now divide means subtract
4^6÷4^3*4^3
4^(6-3)*4^3
4^3 *4^3
4^3*4^3
Multiply means add
4^(3+3)
4^6
4^6 = 4^x
The bases are the same so the exponents must be the same
x=6
Answer:1002
Step-by-step explanation:
and 
and 
as 
Applying this we get
![\Rightarrow \sum_{1}^{1002}\left [ \cos^2\left ( \frac{k\pi }{2\cdot 2005}\right )+\cos^2\left ( \frac{(2005-k)\pi }{2\cdot 2005}\right )\right ]](https://tex.z-dn.net/?f=%5CRightarrow%20%5Csum_%7B1%7D%5E%7B1002%7D%5Cleft%20%5B%20%5Ccos%5E2%5Cleft%20%28%20%5Cfrac%7Bk%5Cpi%20%7D%7B2%5Ccdot%202005%7D%5Cright%20%29%2B%5Ccos%5E2%5Cleft%20%28%20%5Cfrac%7B%282005-k%29%5Cpi%20%7D%7B2%5Ccdot%202005%7D%5Cright%20%29%5Cright%20%5D)
every 
there exist 
such that 
therefore
![\Rightarrow \sum_{1}^{1002}\left [ \cos^2\left ( \frac{k\pi }{2\cdot 2005}\right )+\cos^2\left ( \frac{(2005-k)\pi }{2\cdot 2005}\right )\right ]=1002](https://tex.z-dn.net/?f=%5CRightarrow%20%5Csum_%7B1%7D%5E%7B1002%7D%5Cleft%20%5B%20%5Ccos%5E2%5Cleft%20%28%20%5Cfrac%7Bk%5Cpi%20%7D%7B2%5Ccdot%202005%7D%5Cright%20%29%2B%5Ccos%5E2%5Cleft%20%28%20%5Cfrac%7B%282005-k%29%5Cpi%20%7D%7B2%5Ccdot%202005%7D%5Cright%20%29%5Cright%20%5D%3D1002)
Answer:
Sorry it did not load
Step-by-step explanation:
Roger: $24
Bethan: $36
Explanation:
4/5 of $75 is $60
So $60 is distributed to Roger and Bethan in the ratio 2 : 3.
Add the numbers in the ratio 2 : 3
2 + 3 = 5
Divide $60 by 5
60 ÷ 5 = 12
Multiply each number in the ratio 2 : 3 by 12:
2 • 12 : 3 • 12
= 24 : 36
I’m sorry if I explained this badly
But if my answer was correct, brainliest please!
Have a nice day!
-SpaceMarsh :D
