A giant tortoise can travel at a speed of about .2 kilometers per hour. At this rate, how far can it travel in 1.75 hours?
2 answers:
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Amie's error while measuring the volume of a sphere is that <u>Amie should have multiplied 54 by 2/3</u>. Thus, the <u>first option</u> is the right choice.
In the question, we are given that a sphere and a cylinder have the same radius and height.
We assume the radius of the sphere to be r, and its height to be h.
Now, the height of a sphere is its diameter, which is twice the radius.
Thus, the height of the sphere, h = 2r
Given that the sphere and the cylinder have the same radius and height, the radius of the cylinder is r, and its height is 2r.
The volume of a sphere is given by the formula, V = (4/3)πr³, where V is its volume, and r is its radius.
Thus, the volume of the given sphere using the formula is (4/3)πr³.
The volume of a cylinder is given by the formula, V = πr²h, where V is its volume, r is its radius, and h is its height.
Thus, the volume of the given cylinder using the formula is πr²(2r) = 2πr³.
Now, to compare the two volumes we take their ratios, as
Volume of the sphere/Volume of the cylinder
= {(4/3)πr³}/{2πr³}
= 2/3.
Thus, the volume of the sphere/the volume of the cylinder = 2/3,
or, the volume of the sphere = (2/3)*the volume of the cylinder.
Given the volume of the cylinder to be 54 m³, Amie should have multiplied 54 by 2/3 instead of adding the two.
Thus, Amie's error while measuring the volume of a sphere is that <u>Amie should have multiplied 54 by 2/3</u>. Thus, the <u>first option</u> is the right choice.
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For the complete question, refer to the attachment.
A quadrilateral in which opposite sides are parallel is called a parallelogram. The correct option is D.
<h3>What is a parallelogram?</h3>A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
For a parallelogram, the opposite sides are equal and parallel to each other. We can write,
AD ≅ BC
Since BX ≅ DY, therefore, we can write,
AB = CD
AX + XB = DY + YC
XB = DY, cancelling both the sides,
AX = YC.
Also, XY is the common side.
Since all the sides are equal also the angle are equal, therefore, it can be written,
AXDY ≅ CYXB
Given the area of CYXB is 71.5 square units. Therefore,
ABCD = CYXB + AXDY
ABCD = 2(CYXB)
ABCD = 143 square units.
Hence, the correct option is D.
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When you have an equation that has variables and you know the value of those variables, just plug it it. So plugging the vaules we get
Just evaluating we get 4
Just evaluating we get 4