Area of the base and the top :(4x7) + (4x7) = 56
Lateral area of the front & the back = (4x12) + (4x12) = 96
Lateral area of the right & left = (7x12) + (7x12) = 168
TOTAL AREA = 56+96+168 = 320
Volume = 4x7x12 = 336
RATIO AREA/VOLUME = 320/336 . Simplify by dividing numerator and denominator by 16. Final result: AREA/VOLUME = 20/21
Answer:
Step-by-step explanation:
Keep in mind that these three trig functions can be interpreted as being the ratios of the side lengths of a triangle:
opposite side
sin x = ----------------------
hypotenuse
adjacent side
cos x = ----------------------
hypotenuse
opposite side
tan x = ----------------------
adjacent side
In the case where you have a right triangle and know the lengths of two of its three sides, that knowledge dictates which of the above trig functions to use in "solving the triangle."
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If, for example, the "opposite side" of a triangle is 3 and the "hypotenuse" is 5, we'd choose to use the sine function to find the angle opposite the "opposite side:"
opposite side 3 units
sin x = ---------------------- = -------------
hypotenuse 5 units
Find x by using the inverse sine function:
Angle x = arcsin 3/5 = 0.644 radians or 36.9 degrees.
Those are supplementary angles, therefore:
The correct answer would be D, because there’s no other leading common factors between the two besides one.
Answer:
n=1
Step-by-step explanation:
distribute
-6 times -8n is =48n
-6 times 6 =-36
8 times -4 = -32
8 times n =8n
rewrite equation
48n-36+-32+8n=-12
48n+8n-36-32=-12
56n-68=-12
add 68 on both sides
=56
56n=56
n= 1
