Answer:
not correct
tan 60 = x / 2
square root(3) = x / 2
x = 2 * Square root(3)
= Square root ( 4 * 3) = Square root (12)
Answer:
the lower right matrix is the third correct choice
Step-by-step explanation:
Your problem statement shows that you have correctly selected the matrices representing the initial problem setup (middle left) and the problem solution (middle right).
Of the remaining matrices, the upper left is an incorrect setup, and the lower left is an incorrect solution matrix.
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We notice that in the remaining matrices on the right that the (2,3) term is 0, and the (3,2) and (3,3) terms are both 1.
The easiest way to get a 0 in the 3rd column of row 2 is to add the first row to the second. When you do that, you get ...
![\left[\begin{array}{ccc|c}1&1&1&29000\\1+2&1-3&1-1&1000(29+1)\\0&0.15&0.15&2100\end{array}\right] =\left[\begin{array}{ccc|c}1&1&1&29000\\3&-2&0&30000\\0&0.15&0.15&2100\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D1%261%261%2629000%5C%5C1%2B2%261-3%261-1%261000%2829%2B1%29%5C%5C0%260.15%260.15%262100%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D1%261%261%2629000%5C%5C3%26-2%260%2630000%5C%5C0%260.15%260.15%262100%5Cend%7Barray%7D%5Cright%5D)
Already, we see that the second row matches that in the lower right matrix.
The easiest way to get 1's in the last row is to divide that row by 0.15. When we do that, the (3,4) entry becomes 2100/0.15 = 14000, matching exactly the lower right matrix.
The correct choices here are the two you have selected, and <em>the lower right matrix</em>.
Answer:
![\frac{4 \sqrt{10} }{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%20%5Csqrt%7B10%7D%20%7D%7B5%7D%20)
Step-by-step explanation:
![\frac{8}{ \sqrt{10} } \times \frac{ \sqrt{10} }{ \sqrt{10} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B%20%5Csqrt%7B10%7D%20%7D%20%20%5Ctimes%20%20%5Cfrac%7B%20%5Csqrt%7B10%7D%20%7D%7B%20%5Csqrt%7B10%7D%20%7D)
![\frac{8 \sqrt{10} }{ {\sqrt{10}}^{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%20%5Csqrt%7B10%7D%20%7D%7B%20%7B%5Csqrt%7B10%7D%7D%5E%7B2%7D%20%20%7D%20)
![\frac{8 \sqrt{10} }{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%20%5Csqrt%7B10%7D%20%7D%7B10%7D%20)
![\frac{4 \sqrt{10} }{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%20%5Csqrt%7B10%7D%20%7D%7B5%7D%20)
Answer:
There were (4x + 2) grapes in the bowl
Step-by-step explanation:
Here, we are interested in calculating the total number of grapes in the bowl.
We have 3 people sharing the total
Damien are x grapes
Jake ate 1 more than twice what Damien and that is (1 + 2x) grapes
Makayla ate 5 fewer grapes than Damien: So what Makayla ate is (x-5) grapes
And now, we have 6 grapes left.
To find the total number of grapes in the bowl, we need to add up all what they ate plus what is left.
Mathematically, that would be;
x + 1 + 2x + x -5 + 6
= 4x + 2
You cant solve but u can simplify which would be 2b=14