Answer:
Ifa,bandcare the
sides opposite to anglesA,B,&C.
By Cosine Rule,
b
2
=32
2
+46
2
−(2×32×46cos140°)
b
2
=1024+2116−2944cos140°
b
2
=3140−2944cos140°
b
2
=3140+2255.234841
b
2
=5395.234841
b=73.45
By Sine Rule,
sinC
32
=
sin140°
73.45
sinC=
73.45
32sin140°
sinC=0.2800
C=16.26°
The direction of the resultant
vector is measured from0°east
to the resultant, this angle isθ−90°,
90°is the total angle in
the first quadrant.
∴θ−90°=C+ϕ
ϕ=50°{Alternate angles are equal}
∴The direction of the car’s
resultant vector is50°+16.26°=66.26°south of east
Step-by-step explanation:
Hi.
-19 + 12 is the same as saying 12 - 19
So, -19 + 12 = -7
You're welcome.
Answer:
7040 yards
Step-by-step explanation:
Because 1 mile = 1760 yards. So 4 x 1760 = 7040.
Answer:
The numbers are 11 and 32. Add to get a sum of 43, and subtract to get a difference of 21.
Step-by-step explanation:
The mean decreases, think about it, if every single value in a data set was decreased by the same number, the average would also go down by the same number
The median would also go down, because the value in the middle of the data set would now be smaller than before
The mode would also decrease, because the value that showed up the most in the data set has now also been decreased
The range, however, stays the same. If the lowest value in a data set was 3 and the highest was 10 and you subtracted 2 from each value in the data set, you would have the lowest at 1 and the highest at 8. But, 10-3 still equals 8-1, so the range is unchanged
