No map given but it shouldn't matter.
E is the 5th letter, L the 12th.
Start at S(6,12). End at E(10,5)
The vector between them, E-S=(4,-7)
Each unit is 1/16 of a mile, though that probably doesn't matter that much.
Doug has to stay on the grid, so has to run |4|+|7|=11 units. At 30 mi/hr that takes (11/16)/30 = 0.022916 hours.
Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units. At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.
Answer: Doug wins
Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph. That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.
Answer:
Step-by-step explanation:
P=2a+b
Solve for a.
Divide both sides by 2 to isolate a.
P=2a+b
P/2=a+b/2
When you rewrite the equation, it becomes:
a=P/2-b/2 (The sign changes from a positive to a negative because you need to move P/2 to the other side to get a to one side)
Therefore, your final answer is: a=P/2-b/2
Hope this helped!
Answer: The measure in degrees of angle S is 33.7°
Step-by-step explanation: Please see the attachments below for the complete question as well as the Step-by-step explanation
The product of (3 x 109) and (2 x 109) in scientific notation is 6*10^9
<h3>What is
scientific notation?</h3>
scientific notation can be described as the expression in the form a x 10^b where a is a number or decimal number a is greater than or equal to one.
(3 x 109) * (2 x 109) =6*10^9
Therefore, option D is correct.
Learn more about scientific notation at:
brainly.com/question/27862246
#SPJ1
3.
m/_QOR + m/_ROS = 90 (because the two angels together make a right angle)
Substitute.
x + 5 + 2x + 7 = 90
3x + 12 = 90
-12 -12
subtract 12 from both sides
3x = 78
Divide each side by 3 to get x by itself
x = 26
4. those two angles in the picture are vertical, which means they're congruent.
with that in mind...the ray makes a right angle on one and the other, w, you dont know. so to get the whole angle you need to add both angles to get the whole thing so...
m/_w + 90 = 125
subtract 90 on both sides
m/_w = 35