For side length s the area of the triangle is
.. A = (√3)/4*s^2
The radius of the circle will be
.. r = s/(2√3)
so the area of the circle is
.. A = π*r^2 = π*s^2/12
The fraction of the triangle that is not in the circle is
.. 1 - (π/12)/((√3)/4)
.. = 1 -π/(3√3)
.. ≈ 39.54%
Answer: The cost of a pencil and a pen is 8 cents
Answer:
(3.5 , 3.5)
Step-by-step explanation:
Midpoint formula is x1+x2/2 and y1+y2/2
7 + 0/2 and 9 + (-2)/2
7/2 simplifies to 3.5
7/2 again simplifies to 3.5
so the midpoint coordinate is
(3.5,3.5)
The large triangle and the smaller one are similar. Comparing long sides to short ones, we get
.. (30 mm)/(21 mm) = (14 mm +x)/(14 mm)
.. (14 mm)*10/7 = 14 mm +x
.. (14 mm)*(10/7 -1) = x
.. (14 mm)*(3/7) = x = 6 mm
The value of x is 6 mm.
Answer:
35% decrease is the answer
Step-by-step explanation:You get this, because if you use the equation 611-940 over 611 multiplied by 100. You do 611-940 because you need to find how much it decreased by, and then you put it over 611, because that was the total and divide, because your finding the percent by dividing the part by whole, and then multiply it by 100 to get your final answer, because 100 is the total of percentages.