Stella initially put $5 into a piggy bank. Over the next few years she continued to put all of her coins in the piggy bank, such
that each year the amount of money in the piggy bank doubled. Determine the equation that represents this situation and use it to decide which of the following graphs represents the amount of money, A(x), in Stella's piggy bank after x years.
2 answers:
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The shape of the vertical cross section of the solid figure is Circle , Option A is the right answer.
What is a Circle ?
A circle is a round figure with all the points lying in the same plane .
It is given that
Tung rotates a square around its horizontal axis of symmetry to make a solid figure.
the shape of the vertical cross section of the solid figure will be a circle that can be seen in the image attached
The rotation image is also attached and the horizontal axis is taken as straight to show the formation of a circle.
Therefore Option A is the right answer.
To know more about Circle
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Answer:
- x = 8√3
- y = z = 12√2
Step-by-step explanation:
We presume you want the values of x, y, and z.
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There are two "special triangles" in geometry and trigonometry. They are the 30°-60°-90° right triangle that is half of an equilateral triangle, and the 45°-45°-90° isosceles right triangle that is half a square (cut by the diagonal).
The side ratios of these special triangles are relatively easy to remember. It is useful to memorize them.
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For the isosceles right triangle, the side lengths are the same. The Pythagorean theorem tells you that if they are both 1, then the hypotenuse is ...
√(1²+1²) = √2
That is, the side lengths of the 45-45-90 triangle are in the ratio ...
1 : 1 : √2
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For the triangle that is half an equilateral triangle, you know the hypotenuse is twice the length of the shortest side (since we got that short side by cutting a long side in half). Then the longer side can be found from the Pythagorean theorem:
√(2²-1²) = √3
That is, the side lengths of the 30-60-90 triangle are in the ratio ...
1 : √3 : 2
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In this problem, we're given the hypotenuse of a 30-60-90 triangle, so we know the short side of it (x) will be half that length:
x = (16√3)/2
x = 8√3
The hypotenuse of the 45-45-90 triangle will be √3 times x, so will be ...
long side of small triangle = (√3)(8√3) = 24
The shorter sides of that 45-45-90 triangle will be this value divided by the square root of 2, so are ...
y = z = 24/√2
We can multiply this by (√2)/(√2) to "rationalize the denominator".
y = z = 12√2
