Answer:
31.6°
Step-by-step explanation:
The triangle given us a right angled Triangle
We solve the above question using the trigonometric function of Tangent
The formula is given as:
tan θ = opp/adj
θ = m∠G = ?
Opposite = EF is 28.2
Adjacent = GF is 45.8
tan θ = 28.2/45.8
θ = arc tan (28.2/45.8)
θ = 31.621459805°
Approximately
m∠G = 31.6°
Answer:
Step-by-step explanation:
This kinda looks like the limiting definition of a derivative.
Anyway, what we are doing with the f(2 + h) is evaluating f(x) with 2+h in place for x. That looks like this:
f(2 + h) = 2(2 + h) - 3 which simplifies to
f(2 + h) = 4 + 2h - 3 which simplifies to
2h + 1
From that we are subtracting f(2). What we are doing with that is evaluating f(x) with 2 in place for x. That looks like this:
f(2) = 2(2) - 3 which simplifies to
f(2) = 4 - 3 which simplifies to
f(2) = 1. Now put those together over h to get:

Step-by-step explanation:
$21=per hour mowling
$17=per hour gardening
only work 16 hours per week
Goals =$275 per week
$275÷16 hours=<u>$</u><u>17.1875</u><u>(</u><u>Each</u><u> </u><u>hour</u><u> </u><u>in</u><u> </u><u>a</u><u> </u><u>week</u><u>)</u>
<u>mow</u><u> </u><u>lawns</u><u>=</u><u> </u><u>$</u><u>17.1875</u><u> </u><u>×</u><u>$</u><u>12</u><u>=</u><u>$</u><u>206.25</u><u>(</u><u>for</u><u> </u><u>16</u><u> </u><u>hours</u><u>)</u>
<u>gardening</u><u>=</u><u>$</u><u>17.1875 </u><u>×</u><u>$17=$292.1875</u><u>(</u><u>for</u><u> </u><u>16</u><u> </u><u>hours</u><u>)</u>
<u>m</u><u>o</u><u>w</u><u>l</u><u>i</u><u>n</u><u>g</u><u> </u><u>lawns</u><u>=</u><u>$</u><u>275</u><u>÷</u><u>$</u><u>21</u><u>=</u><u>13.0952380952</u><u>(</u><u>13</u><u> </u><u>hours</u><u>,</u><u>12</u><u> </u><u>minutes</u><u> </u><u>and</u><u> </u><u>30</u><u> </u><u>seconds</u><u>)</u>
<u>Gardening</u><u> </u><u>=</u><u>$</u><u>275</u><u>÷</u><u>$</u><u>17</u><u>=</u><u> </u><u>$</u><u>16.1764705882</u><u> </u><u>(</u><u>970</u><u> </u><u>hours</u><u>,</u><u>9</u><u> </u><u>minutes</u><u>,</u><u>80</u><u> </u><u>seconds</u><u>)</u>
<u>A</u><u> </u><u>little</u><u> </u><u>help</u><u> </u><u>not</u><u> </u><u>fully</u><u> </u><u>answered</u>
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>
Answer:
The answer is below
Step-by-step explanation:
Given the system of equations:
x + y + 2z = 9
2x + 4y - 3z = 1
3x + 6y - 5z = 0
This system of equation can be solved using matrix. This done by first representing the equations as matrix and then solving:
The matrix form is:
![\left[\begin{array}{ccc}1&1&2\\2&4&-3\\3&6&-5\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&2\\2&4&-3\\3&6&-5\end{array}\right] ^{-1} \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%262%5C%5C2%264%26-3%5C%5C3%266%26-5%5Cend%7Barray%7D%5Cright%5D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D9%5C%5C1%5C%5C0%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%262%5C%5C2%264%26-3%5C%5C3%266%26-5%5Cend%7Barray%7D%5Cright%5D%20%20%5E%7B-1%7D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D9%5C%5C1%5C%5C0%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C)
![\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2&-17&11\\-1&11&-7\\0&3&-2\end{array}\right] \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1\\2\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-17%2611%5C%5C-1%2611%26-7%5C%5C0%263%26-2%5Cend%7Barray%7D%5Cright%5D%20%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D9%5C%5C1%5C%5C0%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D1%5C%5C2%5C%5C3%5Cend%7Barray%7D%5Cright%5D)