Answer:
(2 x 10) + (1 x 1) + (0 x 0.1) + (6 x 0.01) + (1 x 0.001).
Answer:
<u>The Eastbound train speed is 76.5 miles per hour and the Westbound train speed is 79.5 miles per hour.</u>
Step-by-step explanation:
1. Let's review all the information provided for solving this question:
Eastbound train speed = x
Westbound train speed = x + 3 miles per hour (The speed of the westbound train is 3mph greater than the speed of the eastbound train)
Duration of trip = 3 hours
Distance between trains after 3 hours = 468 miles
2. Let's find the speed of each train, using the following equation:
3x + 3(x + 3) = 468
3x + 3x + 9 = 468
6x + 9 = 468
6x = 468 - 9 (Subtracting 9 at both sides)
6x = 459
x = 459/6 (Dividing by 6 at both sides)
x = 76.5 miles per hour
<u>The Eastbound train speed is 76.5 miles per hour and the Westbound train speed is 79.5 miles per hour.</u>
3. Proof that x = 76.5 is correct
3x + 3(x + 3) = 468
3 (76.5) + 3 (76.5 + 3) = 468
229.5 + 238.5 = 468
<u>468 = 468</u>
<u>The value of x = 76. 5 is correct. And now we know that the Eastbound train has traveled 229.5 miles since the departure from Cleveland and the Westbound train 238.5 miles.</u>
Step-by-step explanation:
Given line is passing through the points (3, 60) & (6, 50)
Therefore, slope of line:
![m = \frac{50 - 60}{6 - 3} = - \frac{10}{3} \\ y - intercept \: (b) = 70 \\ equation \: of \: line \: in \: slope \: intercept \\ form \: is \: given \: as : \\ y = mx + b \\ \huge \red{ \boxed{\therefore \: y = - \frac{10}{3} x + 70}} \\ which \: is \: the \: required \: equation.](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B50%20-%2060%7D%7B6%20-%203%7D%20%20%3D%20%20%20-%20%5Cfrac%7B10%7D%7B3%7D%20%20%5C%5C%20y%20-%20intercept%20%5C%3A%20%28b%29%20%3D%2070%20%5C%5C%20equation%20%5C%3A%20of%20%5C%3A%20line%20%5C%3A%20in%20%5C%3A%20slope%20%5C%3A%20intercept%20%5C%5C%20form%20%5C%3A%20is%20%5C%3A%20given%20%5C%3A%20as%20%3A%20%20%5C%5C%20y%20%3D%20mx%20%2B%20b%20%5C%5C%20%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20y%20%3D%20%20-%20%20%5Cfrac%7B10%7D%7B3%7D%20x%20%2B%2070%7D%7D%20%5C%5C%20which%20%5C%3A%20is%20%5C%3A%20the%20%5C%3A%20required%20%5C%3A%20equation.)
The answer of the question number 2 is D
Answer:
Cosine
Step-by-step explanation:
SohCahToa
The sides are: adjacent to the angle and are the hypotenuse.
(hope this helps :P)