ADA sample test QR question

[predentgal]

A painting which is 4 feet wide and 5 feet
long is surrounded by a rectangular frame
6-inches wide. What percent of the area of
the picture and the frame is occupied by
the frame?
A. 10 1/2
B. 20
C. 30
D. 33 1/3
E. 50​

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The answer is D.

I got B though. The area of the picture is 5 x 4 = 20 ft squared
The area of the picture of the frame is 5 x 5= 25 ft sqaure
Since the frame is 6 inches or half a foot wide I added a half an inch on both sides of the width of the painting, so from 4 the width now became 5. The length of the painting does not change though because adding a rectangualr frame which is 6 inches wide would not affect the length of the painting

Last, I subtracted the area of the pciture and frame from the area of the picture alone and got 5, I then divided this number by 25 and got 20% or choice B.

What did I do wrong?​

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[UndergradGuy7]

http://forums.studentdoctor.net/showthread.php?t=709726

You are supposed to add 0.5x2 to the width and the length. You only added it to the width.

 

[predentgal]

I see now.. 2 more questions. This time trig

The value of cos (​

​

​

​

π/3) equals the
value of
A. -cos (2π/3).
B. cos (2π/3).
C. cos (6π/3).
D. -cos (5π/3).
E. cos (4π/3).

The answer is A
AND:
​

For all the​

​

​

​

y, the cos y is equal to which of
the following?
A. sin y​

B. cos (​

​

​

​

y + π )
C. sin (-y)
D. sin y + cos y​

E. cos (-​

​

​

​

y)

I thought the answer to this one is B but it turns out its E. ​

 

[UndergradGuy7]

I see now.. 2 more questions. This time trig

The value of cos (​

π/3) equals the
value of
A. -cos (2π/3).
B. cos (2π/3).
C. cos (6π/3).
D. -cos (5π/3).
E. cos (4π/3).

The answer is A
AND:
​

For all the​

y, the cos y is equal to which of
the following?
A. sin y​

B. cos (​

y + π )
C. sin (-y)
D. sin y + cos y​

E. cos (-​

y)

I thought the answer to this one is B but it turns out its E. ​

Well, I'm not good at trigonometry, but... the unit circle http://www.hsu.edu/uploadedImages/Faculty/lloydm/classes/pt/UnitCircle.GIF

the numbers are given like this (x, y) cos = x, sin =y.
So for cos(pi/3) you can find it on the circle and see it equals 1/2
find cos(2pi/3) and you can find out it equals -1/2 in A it is -cos(2pi/3) so -(-1/2) = 1/2

 

[predentgal]

i wish that circle was on the dat... that wold make my life a lot easier