The derivitive of sec(x) is sec(x)tan(x)
find the slope at pi/3
sec(pi/3)=2
tan(pi/3)=√3
sec(x)tan(x) at x=pi/3 is 2√3
for slope=m and a point is (x1,y1)
the equation is
y-y1=m(x-x1)
slope=2√3
point=(pi/3,2)
equation is
y-2=2√3(x-pi/3)
The length of wire to be purchased will be found as follows:
c²=a²+b²
c²=18²+24²
c²=900
c=√900
c=30 ft
Thus the length of the wire will be:
30+4+4
=38 ft
I'm assuming you have the octagonal base flat on the ground/floor. If so, then the horizontal cut through the center would basically cut the prism into two smaller equal pieces. Each piece will have the same octagonal base, but now the height is half as much. The cross section is the same as the base.
One way to picture it is to imagine you had a single room house with a very tall ceiling. Now place a floor between the top and bottom, midway through, so that you divide this house into too stories (each story being the same height). This new floor is a cross section, which is identical to the original floor of the house. Instead of a rectangular floor, picture the floor shape being an octagon.
<h3>Answer: Octagon</h3>
Answer:
-6p+9q
Step-by-step explanation:
Multiply -3 with 2p and multiply -3 with 3q.
Inequalities help us to compare two unequal expressions. The inequality for this scenario in standard form is 2x + 3y > 30.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Let the safety counts be represented by x, while the field goal count is represented by y.
Part A: The inequality for this scenario in standard form.
2x + 3y > 30
Part B: The inequality in slope-intercept form.
2x + 3y > 30
3y > 30 - 2x
y > 10 - (2/3)x
y < (2/3)x - 10
PartC: The inequality is represented below.
Learn more about Inequality:
brainly.com/question/19491153
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