Answer:
F: 18
Step-by-step explanation:
find total amount of points
43 + 7 = 50
subtract half of 50 to find the midpoint
43 - 25
18
L = 18
Answer:
- co-terminal
- reference
- 90°, 105°
- 2π, 7π/4
Step-by-step explanation:
For an explanation of vocabulary questions, consult a dictionary or vocabulary list
1) angles ending in the same place are "co-terminal."
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2) The acute angle between the terminal ray and the x-axis is the "reference angle."
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3) Multiply radians by 180°/π to convert to degrees.
a) π/2 × 180°/π = 180°/2 = 90°
b) 7π/12 × 180°/π = (7/12)(180°) = 105°
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4) To convert from degrees to radians, multiply by π/180°.
a) 360° × π/180° = 2π radians
b) 315° × π/180° = 7π/4 radians
Given:
t1 = 3.6 h
t2 = 4.5 h
x = speed of boat
y = speed of water
Required:
a) Expression of distance traveled with moving water with 3.6h
Expression of distance traveled with moving water with 4.5h
b) Solve for y
c) Percent of boat's speed is the water current
Solution:
Working formula: distance = velocity*time
a) For travelling downstream, we get the equation
d = (x +y)*3.6
For travelling upstream, we get the equation
d = (x-y)*4.5
b) Setting the distance as equal for travelling upstream or downstream, we arrive at the equation of
(x+y)*3.6 = (x-y)*4.5
3.6x + 3.6y = 4.5x - 4.5y
8.1y =0.9x
y = x/9
c) percentage = 1/9*100% = 11.1%
<em>ANSWERS: a) d = (x+y)*36; d = (x-y)*4.5
</em> <em>b) y = x/9
</em> <em>c) 11.1%</em>
Answer:
476
Step-by-step explanation:
because there are 68calories per serving and there are 7 servings
A) -180m
b) 510-180=+330m
+330/45=7.333m/s
c) total distance = 840m
average speed = 840/105
= 8m/s
