Tan 2° = x / 1 mile, where x is the vertical change
0.03492 = x / 1 mile
x = 1 mile · 0.03429 = 0.03492 miles
1 mile = 5,280 feet
0.03492 · 5,280 = 184.38 ft
Answer: The vertical change is 184.38 feet
The vector product of
and the magnitude of
is 
Further explanation:
Given:
Vector a is 
Vector b is 
Explanation:
The cross product of a \times b can be obtained as follows,

The vector can be expressed as follows,

The magnitude of
can be obtained as follows,
43404
The vector product of
and the magnitude of
is 
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Vectors
Keywords: two vectors, vector product, expressed in unit vectors, magnitude, vector a, vector b, a=4.00i^+7.00j^, b=5.00i^-2.00j^, unit vectors, vector space.
Answer:
and
will be correct.
Explanation:
Given: two quadrilaterals having verticals P, N, O,M and S,T,V,U are congruent, where, OM is congruent or equal to TS and
.
in quadrilaterals NPOM and VUTS-
since, the condition 
and, side UV=side OM follow for the above quadrilateral. (According to the figure)
then we can say according to the property of quadrilateral, their corresponding sides must be congruent. so they are congruent.
similarly, these two conditions also follow in the case of
we can understand it by making the figures.
Answer:
The value of q that maximize the profit is q=200 units
Step-by-step explanation:
we know that
The profit is equal to the revenue minus the cost
we have
---> the revenue
---> the cost
The profit P(q) is equal to

substitute the given values



This is a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
The x-coordinate of the vertex represent the value of q that maximize the profit
The y-coordinate of the vertex represent the maximum profit
using a graphing tool
Graph the quadratic equation
The vertex is the point (200,-120)
see the attached figure
therefore
The value of q that maximize the profit is q=200 units