magnitude = sqrt(6^2+4^2)
= sqrt ( 36+16)
=sqrt (52) = 7.2
angle = tan^-1(6/4) = 56 degrees
Answer:
A
Step-by-step explanation:
950 is 95% of 1000
so he lost 5 percent, which can be represented as -5.0%
Answer:
B. 40 meters
Step-by-step explanation:
— Estimating
The rectangle enclosing the path has sides of length 9 m and 14 m, so its perimeter is 2(9+14) = 46 m. The distance covered will be shorter than that.
The distance from A to C is longer than the distance from D to C, so we know the distance will be longer than 2·14+9 = 37 m.
Only one answer choice fits in the range 37 < d < 46.
____
— Detailed calculation
The distance from B to C is the hypotenuse of a right triangle with sides 9 and 12. You will recognize that these side lengths are 3 times the side lengths of a 3-4-5 right triangle, so the hypotenuse distance is 3·5 = 15 meters.
The circuit length is ...
AB +BC +CD +DA = 2 + 15 + 14 + 9 = 40 . . . . meters
First one is 42
second is 24
Third is 12
