We will use the Cosine rule ( graph is in the attachment ):
c - the displacement
Angle: 90° + 45° = 135°
c² = a² + b² - 2 ab cos 135°
c² = 98² + 225² - 2 · 98 · 225 · ( -0.7071 )
c² = 9,604 + 50,625 + 31,183.11
c² = 91,412.11
c = √ 91,412.11
c = 302.344 km
Answer:
Step-by-step explanation:
Factor the expression to give you the result, or you can use the quadratic formula and notice you get 3 and 6.
136 would be your answer
you start by finding the area of the square , which would be 128, then you divide 16 by four which would be 4 , and then four times two is eight , 128+8 is 136
Answer:
Option D, 0.32 meters per second
Step-by-step explanation:
<u>Step 1: Find the unit rate at which Matt needs to swim</u>
Make an equation to represent the scenario.
<em>25m = 8</em>
<u>Step 2: Solve for m by dividing both sides by 25</u>
25m / 25 = 8 / 25
<em>m = 0.32</em>
<u>Step 3: Check</u>
To check, you can multiply the number of second, 25, by the meters per second to see if you get the total meters, 8.
0.32 * 25
<em>8</em>
So, the answer is correct :)
<u><em>0.32 means that Matt needs to swim 0.32 meters per second to qualify as a state swimmer.</em></u>
Answer: Option D, 0.32 meters per second