Answer: 24.2° SouthWest
<u>Step-by-step explanation:</u>
First step: DRAW A PICTURE of the vectors from head to tail <em>(see image)</em>
I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.
<u>Perpendicular (x):</u>
cos 35° = adjacent/hypotenuse
cos 35° = x/160
→ x = 160 cos 35°
<u>Angle (θ):</u>
sin θ = opposite/hypotenuse
sin θ = x/320
sin θ = 160 cos 35°/320
θ = arcsin (160 cos 35°/320)
θ = 24.2°
Direction is down (south) and left (west)
Answer:
The sweaters cost $35 each.
Step-by-step explanation:
The skirt was $20, so you would subtract 20 from 160. that equals 140. Then you would divide 140 by 4. that would equal 35. So the answer is $35.
This is the concept of financial mathematics, the simple interest rate is given by:
S.I.=(PRT)/100
where:
P=principle=$2500
R=rate=5.5%
T=time=1 year
Hence;
S.I.=(5.5*2500.1)/100
=$137.5
Thus the total amount he had after 1 year will be:
2500+137.5
=$2,637.5
Answer:
O <u>4th option</u> : <u>(-4, -2)</u>
Step-by-step explanation:
⇒ 9x - 9y = -18
⇒ -<u>6x + 9y = 6</u>
- 9(-4) - 9y = -18
- -36 - 9y = -18
- -9y = 18
- y = -2
⇒ (x , y)
⇒ <u>(-4, -2)</u>
Answer:
<u>A</u>
Step-by-step explanation:
<u>Given</u>
<u>Solving</u>
- Take the square root on both sides
- √x² = √9/4
- ⇒ x = 3/2
- <u>Option A is the correct option.</u>