An artist lays down a white triangular background on a building on which she will paint a Penrose triangle. The triangular area measures 20 ft on each side and will be covered with three layers of primer paint. a. To the nearest square foot, what is the area of the triangular region to be primed? b. If primer paint covers 200 ft 2 /gal , how many gallons of primer must be purchased?
An artist lays down a white triangular background on a building on which she will paint a Penrose triangle. The triangular area measures 20 ft on each side and will be covered with three layers of primer paint. a. To the nearest square foot, what is the area of the triangular region to be primed? b. If primer paint covers 200 ft 2 /gal , how many gallons of primer must be purchased?
Solution Summary: The author calculates the area of the triangular region to be primed if each side measures as 20ft.
An artist lays down a white triangular background on a building on which she will paint a Penrose triangle. The triangular area measures
20
ft
on each side and will be covered with three layers of primer paint.
a. To the nearest square foot, what is the area of the triangular region to be primed?
b. If primer paint covers
200
ft
2
/gal
, how many gallons of primer must be purchased?
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Find the exact area inside r=2sin(2\theta ) and outside r=\sqrt(3)
College Algebra with Modeling & Visualization (5th Edition)
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