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Solve the given problems.An architect is designing a window in the shape of an isosceles triangle with a perimeter of 60 in. What is the vertex angle of the window of greatest area?

Calculus 1 / AB

Chapter 27

Differentiation of Transcendental Functions

Section 4

Applications

Derivatives

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Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:27

Solve each problem.A b…

01:19

The diagonals of a rectang…

01:15

Solve each problem.The…

00:31

Find the measure of the ve…

01:51

Solve each geometric figur…

00:23

02:29

Solve each problem involvi…

01:06

The vertex angle of an iso…

06:09

Find the measure of the an…

05:07

so a builder wants to construct a triangular window that is hopefully cut straighter than my drawing. We need to know if he wants it to have this ratio to. So to be a nice sauce Elise Triangle, where the base angles are 30 degrees more than the peak. What does he need to cut each of these angles at? So I know that the sum of the angles of a triangle equal 1 80 So all I need to do is add at my three angles, and I need that to equal 1 80 that will let me solve for X. Let's go ahead and simplify the left hand side by combining like terms that gives me three acts plus 60 equals 1 80 Then I'm gonna subtract 60 from both sides. So I know three X equals 1 20 and that gives me X equals 40. So the question asks, What angles will we have to cut to make the windows fit? So he'll have to cut 40 degrees, 70 degrees and 70 degrees for his three angles

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In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Solve each problem.A builder wants to install a triangular window with t…

The diagonals of a rectangle are 12 inches long and intersect at an angle of…

Solve each problem.The perimeter of an equilateral triangle is to be bet…

Find the measure of the vertex angle of each isosceles triangle given the fo…

Solve each geometric figure problem.A parallelogram with at least one ri…

Solve each problem involving triangles.From a window $30.0 \mathrm{ft}$ …

The vertex angle of an isosceles triangle is $46^{\circ} .$ Find the measure…

Find the measure of the angle to the nearest tenth in each right triangle $A…

Solve each problem.The sides of a parallelogram are 4.0 centimeters and …

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