Answer:
George and Carmen traveled 185 kilometers by bike and 115 kilometers by bus
Step-by-step explanation:
<u><em>The question is</em></u>
Find how many kilometers they traveled by bike
Let
x ----> kilometers traveled by bike
y ----> kilometers traveled by bus
we know that
They traveled 300 kilometers in total
so
----> equation A
They biked 70 kilometers more than they were bus
so
----> equation B
substitute equation B in equation A
solve for y
<em>Find the value of x</em>
therefore
George and Carmen traveled 185 kilometers by bike and 115 kilometers by bus
The angle θ to the diameter that she should row is; θ = 56.44°
<h3>How to find the angle of an arc?</h3>
It should be noted that;
a = 90° - θ. Thus;
b = 2θ
For any circle, the angle subtended (in radians) is equal to the arc length (d_w ) divided by the radius (1.2). Thus; d_w = 4θ .
The time required to walk this distance is given by;
t_w = 4θ/5 = 0.8θ
The distance rowed is given by: cos θ = d_r/2.4
d_r = 2.4cos θ while the time needed for it is;
t_r = 2.4cos θ/3.5
t_r = 0.6857θ
Thus, total time is;
T(θ) = t_r + t_w
T(θ) = 0.6857θ + 0.8θ
T(θ) = 1.4857θ
Now we need the critical numbers:
T'(θ) = 1 - 1.2 sin θ
At T'(θ) = 0, we have;
1 - 1.2 sin θ = 0
1/1.2 = sin θ
θ = sin⁻¹(1/1.2)
θ = 56.44°
Read more about angle of an Arc at; brainly.com/question/2005046
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<h2>
Answer:</h2>
See the attached figure for solution
An architect plans to make a drawing of the room of a house. The segment LM represents the ceiling of the room. He wants to construct a line passing through Q and perpendicular to side LM to represent a wall of the room. He uses a straightedge and compass to complete some steps of the construction, as shown below:
