Mathematics, 25.01.2020 01:31, aweller3898

Popcorn is now available in two different cups at a theater; a square pyramid or a cone. they have the same height of 20 cm. the price of each cup is the same. which cup is the better deal?

Answers: 2

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answered: frankiesoar68

Square pyramid cup is better deal then Cone cup.

Step-by-step explanation:

Diagram is missing in the question we have attached diagram for your reference.

Given:

height of square pyramid = 20 cm

height of cone = 20 cm

Base of square pyramid = 12 cm

diameter of cone = 12 cm

radius of cone is half of diameter.

radius of cone = $\frac{diameter}{2}=\frac{12}{2} = 6\ cm$

We need to find the which cup is the better deal.

Solution:

We will first find the volume of both cups and then we can say the the one which has greater volume is the better deal in buying.

Volume of square pyramid is calculated by one third times square of the base times height.

framing in equation form we get;

Volume of square pyramid = $\frac{1}{3}\times 12^2\times20= 960\ cm^3$

Now we know that;

Volume of cone is calculated by one third times square of the radius times height times π.

framing in equation form we get;

Volume of cone = $\frac{1}{3}\pi r^2h= \frac{1}{3}\pi\times 6^2\times 20 \approx 754cm^3$

Now we can see that;

Volume of square pyramid cup which $960\ cm^3$ is greater than Volume of cone cup $754\ cm^3$

Hence Amount of popcorn will be more in square pyramid cup then in cone cup.

Hence Square pyramid cup is better deal then Cone cup.

Popcorn is now available in two different cups at a theater; a square pyramid or a cone. they have

answered: Guest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

answered: Guest

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has vertices $p(1,2),q(2,1),r(3,2),s(3,3)$ recall that for counterclockwise rotation about the origin, $(x,y)\rightarrow (-x,-y)$ when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become $p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)$ next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain, $p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)$ therefore the correct answer is c