Answer:
r= 1r- eR = r
Step-by-step explanation:
r-r = ER final answer to equal r= -ER
(x+2)(x-16)
A = X
B= 2
C= X
D= -16
Answer:
- D. l = 3 || 4 < c < y || 8l + 7.5c ≥ 70
Step-by-step explanation:
<h3>Work at library</h3>
- Time = 3 hours ⇒ l = 3
- Payment = $8 per hour
- Total payment = 8l
<h3>Work at coffee shop</h3>
- Time = between 4 and 7 hours ⇒ 4 < c < 7
- Payment = $7.5 per hour
- Total payment = 7.5c
Target income = at least $70 daily
<u>So the system as per above parameters:</u>
- l = 3
- 4 < c < y
- 8l + 7.5c ≥ 70
Correct option is D
F1 = 6*cos(30) i + 6*sin(30) j = 5.20 i + 3 j
<span>F2 = 0 i + 5 j </span>
<span>R = F1 + F2 </span>
<span>Add the 'i's together (x direction) and the 'j's together (y direction) </span>
<span>R = (5.20 + 0) i + (3 + 5) j = 5.2 i + 8 j </span>
<span>Magnitude: </span>
<span>||R|| = </span>√<span>(5.2^2 + 8 ^2) = </span>√<span>91 = 9.54 </span>
<span>Direction: </span>
Θ<span> = atan ( Rj / Ri ) = atan( 8 / 5.2 ) = 57.0</span>⁰
<h3>
Answer: 100 meters</h3>
===========================================
Explanation:
If you draw out the diagram, then you'll find that a 45-45-90 triangle forms. The nice thing about this type of triangle is that the two legs are always the same length. The horizontal leg is 100 meters, so the vertical leg must also be 100 meters.
Side note: this type of triangle is an isosceles right triangle.
---------
You could use the tangent rule to get the same thing
tan(angle) = opposite/adjacent
tan(45) = 100/x
1 = 100/x
1*x = 100
x = 100
In this case, the opposite leg is the vertical leg since it is furthest from the angle of elevation.
