Answer:
about 2.9° north of east
Step-by-step explanation:
If we orient the directions so north is in the +y direction and east is in the +x direction, the car is traveling 13 km at an angle of -45°, then 16 km at an angle of +40°. We can add these vectors by adding their components in the x- and y-directions.
13(cos(-45°), sin(-45°)) ≈ (9.19239, -9.19239)
16(cos(40°), sin(40°)) ≈ (12.25671, 10.28460)
The sum of these vectors is then ...
= (21.44910, 1.09221)
and the resultant angle is ...
arctan(1.09221/21.44910) ≈ 2.915° . . . . measured north of east
The resultant direction is about 2.9° north of east.
Greatest Common Factor of 12,18,84.
Factors of 12:1,2,3,4,6,12
Factors of 18:1,2,3,6,9,18
Factors of 84:1,2,3,4,6,7, 12,14,21,28 42,84
The Greatest Common Factor (GCF) of all those three factors is 6.
The Greatest Common Factor is the greatest Factor in all the numbers. In this set, 12,84,84, 6 is the greatest, making it the Greatest Common Factor.
Answer:
2/5 of a mile
Step-by-step explanation:
The easiest approach is to realise that one hour is 3 times longer than
20 minutes. The longer the time, the more they will pave.
2/5 of a mile, in 20 minutes, how much in 60 minutes?(#)
They will pave 3 times more.
2/15 x 3/1 = 6/15 of a mile
6/15 = 2/5 of a mile
Answer:
I am pretty sure it is the 3rd one
(In geometry, an isosceles triangle is a triangle that has two sides of equal length. And i think 3 of them are an isosceles triangle)
Answer: First solve the parentheses using order of operations. Then add and subtract from left to right.
Demo:
(3 * 11) = 33
Equation now looks like:
63 - 21 + 33
63 - 21 = 42
Equation now looks like:
42 + 33
42 + 33 = 75
The value of this expression is 75.
