Answer:
36
Step-by-step explanation:
divide the 72 pieces by 2, you already know that 6 + 6 is 12, and 30 +30 is 60, so add 60 and 12 and you get 72
Answer:
5.2 in
Step-by-step explanation:
An equilateral triangle is a triangle with 3 equal sides
Divide the equilateral triangle into two congruent triangles and use Pythagoras theorem to find the height
The Pythagoras theorem : a² + b² = c²
where a = height
b = base = 6 in / 2 = 3 in
c = hypotenuse = 6 in
6² = 3² + h²
h = 36 - 9 = 27
√27 = 5.196 inch
to the nearest tenth = 5.2 in
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
and you can expand the numerator if you wish, it won't be simplified further though.
Total cost, C = 8x^2 + 12xz
volume, V = (x^2)*z = 10
C = 8x^2 + 12x*10/x^2
= 8x^2 + 120/x
dC/dx = 16x - 120/x^2 = 0
16x = 120/x^2
x^3 = 120/16
x = 1.957 ft
d^2C/dx^2 = 16 +240/x^3 = +ve for x = 1.957
so, C is minimum when
x = 1.957 ft z = 2.61 ft
Length of the base x is 1.957 ft and height of side z is 2.61 ft
Answer:
4.396 ounces
Step-by-step explanation:
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