Let the height of the first tower be x, then the second tower is (160 - x) m taller than the first tower. Then
tan 30 = (160 - x)/80
160 - x = 80 tan 30
x = 160 - 80 tan 30 = 160 - 46.19 = 113.8 m
Therefore, the height of the first tower is 113.8 m.
Answer:

Step-by-step explanation:
This is hard to explain, but basically you use exponent rules to switch it to an exponent
![(\sqrt[4]{x^{2} +4} )^{3}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7Bx%5E%7B2%7D%20%2B4%7D%20%29%5E%7B3%7D)
It's easiest if you calculate
first
4³ = 4 x 4 x 4 = 48
Then convert the root to a fraction exponent
![\sqrt[4]{x^{2}} = x^{\frac{2}{4}} = x^{\frac{1}{2} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B2%7D%7D%20%3D%20x%5E%7B%5Cfrac%7B2%7D%7B4%7D%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D)
Combine them using addition, since addition was in the problem

I hope this helps!
Answer: The last option.
Step-by-step explanation:
1. By definition a number written in scientific notation has the following form:

Where <em>a</em> is the coefficient (which is a number between 1 and 10 but not including 10) and <em>b</em> is the exponent (It must be an integer).
2. The decimal point of the coefficient must be wrriten after the first digit.
3. Based on this information, the number shown in the last option has the decimal point after the second digit, therefore, it is not written is scientific notation.
Answer:
6x^2 ( x^2 -2) ( x^2 +2)(x^2+2x+2)(x^2-2x+2)
Step-by-step explanation:
6x^10 − 96x^2
Factor out 6x^2
6x^2 ( x^8 - 16)
Notice that inside the parentheses we have the difference of squares
6x^2 ( x^4 ^2 - 4^2) a^2 - b^2 = (a-b) (a+b)
6x^2 ( x^4 -4) (x^4 +4)
Notice that x^4-4 is also the difference of squares
6x^2 ( x^2^2 -2^2) (x^4 +4)
6x^2 ( x^2 -2) ( x^2 +2) (x^4 +4)
Note also that x^4 + 4 can be factored into (x^2+2x+2)(x^2-2x+2)
6x^2 ( x^2 -2) ( x^2 +2)(x^2+2x+2)(x^2-2x+2)
Answer:
9 burritos
Step-by-step explanation:
We can use ratios to solve
8 cups 12 cups
---------- = -----------------
6 burritos x burritos
Using cross products
8x = 6*12
8x = 72
Divide by 8
8x/8 =72/8
x = 9
9 burritos