Assuming the length is y and the width is x
Perimeter = y + y + x + x
= 2y +2x
= 2 (y + x)
if the is 8 and the perimeter is 108
108 = 2 (y +8)
108/2 = y+8
54 = y +8
54 - 8 = y
46 = y
Length = 46 inches
Sin(x)=40/50
x= sin^-1(40/50)
x= 53.1301023542—>53.1 rounded to the nearest tenth
angle of elevation is 53.1
3,628,800 is the correct answer
Answer:
4/69 to be exact. Slightly greater than 1/18
Step-by-step explanation:
The chance of selecting the PB cookie on the first try is 4 out of 24 or 1 out of 6. There are now 23 coolies left; 8 are chocolate, so 8/23 chance. (Slightly greater than 1/3) The chance of both events happening is the product if the individual events' chances. So multiply 1/6 times 8/23 to get 8/138. That reduces to 4/ 69. If he had put that first cookie back, the multiplication would have been 1/6×1/3. A lot easier.
The large triangle is 3 times the size of the similar smaller triangle, so
.. x = 3*8 in = 24 in
