Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a
1 answer:
This question is Incomplete because it lacks the appropriate diagram for the square pyramid. Please kindly find attached the required diagram
Answer:
45 square inches
Step-by-step explanation:
From the question, we are told that the foil covers the body of the trophy including the bottom, hence the formula we would be applying =
Total Surface Area of the Square pyramid = 2bs + b²
Where s = Height of the square pyramid
b = Edge length of the square pyramid
From the attached diagram, we can see that:
s = 6 inches
b = 3 inches
Total Surface Area of the Square pyramid = 2bs + b²
= 2 × 3 × 6 + 3²
= 36 + 9
= 45 square inches.
Therefore, the amount of gold foil it took to cover the trophy, including the bottom is 45 square inches
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Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
