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?
Use the information to find and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −3 Δx = dx = 0.01
Δy =
dy =
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
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