The given path can be illustrated in the following diagram:
She has only 30 miles worth of gas, if she comes back through the same path then the total distance is:
Therefore, she has not enough gas to go back using the same path.
Now, the total distance traveled in a straight path (SP) can be found using the Pythagorean theorem, we get:
![\begin{gathered} SP=\sqrt[]{13^2+24^2} \\ SP=\sqrt[]{745} \\ SP=27.3\text{ miles} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20SP%3D%5Csqrt%5B%5D%7B13%5E2%2B24%5E2%7D%20%5C%5C%20SP%3D%5Csqrt%5B%5D%7B745%7D%20%5C%5C%20SP%3D27.3%5Ctext%7B%20miles%7D%20%5Cend%7Bgathered%7D)
Therefore, she needs to take a straight path.
You can start by distributing the 5 to everything in the parenthesis.
5x-50=30-15x
Then get rid of your x values from one side, I chose to subtract 5x
-50 = 30 - 20x
Then subtract 30
-80=-20x
/-20
4=x
You can check by plugging your x into the equation to make sure it's right!
Answer:
Step-by-step explanation:
(A) The given statement is:A square is a parallelogram-------A square is always a parallelogram (By properties of parallelogram)(B) The given statement is:A rectangle is a trapezoid----------A rectangle is never a trapezoid.(C) The given statement is:A rhombus is a square--------A rhombus is sometimes a square.(D) The given statement is:A quadrilateral is a kite--------A quadrilateral is sometimes a kite.
It’s 7 because you round it
Answer:
-$0.16
Step-by-step explanation:
The expected value is the sum of the outcomes multiplied by their probabilities.
E(X) = 1/38 (+68) + 37/38 (-2)
E(X) = -0.16
