Answer:
hmmmmmmmmmmm I don't understand your question sorry
Step-by-step explanation:
Answer:
8.4 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between the sides of a right triangle and the trig functions of an angle. Here, we are given the side adjacent to the angle, and we want to find the side opposite. This suggests the Tangent relationship could be useful:
Tan = Opposite/Adjacent
tan(35°) = x/(12 cm)
(12 cm)·tan(35°) = x ≈ 8.4 cm . . . . . . multiply by 12 cm
2^3 is 2*2*2 which is 8.
Hope this helps!
Answer:
there are 33 marbles
Step-by-step explanation:
100÷3
Answer:
See below
Step-by-step explanation:
You multiply the equations by numbers that will give you the least common multiple of the coefficients.
Suppose you have a system of two equations:
![\begin{cases}(1)& 2x + y = 40\\(2) & x + 2.5y = 60\end{cases}\\](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D%281%29%26%202x%20%2B%20y%20%3D%2040%5C%5C%282%29%20%26%20x%20%2B%202.5y%20%3D%2060%5Cend%7Bcases%7D%5C%5C)
You can choose to eliminate either x or y.
1. Eliminating x
The coefficients of x are 2 and 1. The least common multiple is 2, so you multiply (1) by 1 and (2) by 2 to get
![\begin{array}{lrcll}(3) & 2x + y & = & 40 &\ \\(4) & 2x + 5y & = & 120 & }\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blrcll%7D%283%29%20%26%202x%20%2B%20y%20%26%20%3D%20%26%2040%20%26%5C%20%5C%5C%284%29%20%26%202x%20%2B%205y%20%26%20%3D%20%26%20120%20%26%20%7D%5C%5C%5Cend%7Barray%7D)
Then you can subtract (3) from (4) and get
4y = 80. Solve for y.
2. Eliminating y
The coefficients of y are 1 and 2.5. The least common multiple is 2.5, so you multiply (1) by 2.5 and (2) by 1 to get
![\begin{array}{lrcll}(5) & 5x + 2.5y & = & 100 &\ \\(6) & x + 2.5y & = & 60 & }\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blrcll%7D%285%29%20%26%205x%20%2B%202.5y%20%26%20%3D%20%26%20100%20%26%5C%20%5C%5C%286%29%20%26%20x%20%2B%202.5y%20%26%20%3D%20%26%2060%20%26%20%7D%5C%5C%5Cend%7Barray%7D)
Then you can subtract (6) from (5) and get
4x = 40. Solve for x.