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3 years ago

A 12-in. by 24-in. rectangular pizza is the same price as a pizza with a 10-in. diameter. Which shape will give you more pizza?

Mathematics

1 answer:

natka813 [3]3 years ago

4 0

Answer:

Rectangular pizza.

Step-by-step explanation:

Let the price of the pizza be X, calculate the areas of the different pizzas to find which one has the largest area.

#Find the area of the rectangular pizza:

$A=lw, l=24\ in, \ w=12 \ in\\\\=24\times 12\\\\=288 in^2$

#Find the area of the circular pizza, given diameter is 10 in:

$A=\pi r^2=\pi(D/2)^2, \ D=10 \ in\\\\=\pi (10/2)^2\\\\=78.54 \ in^2$

#From our calculations, the rectangular pizza is 3.7x the size of the circular pizza for the same amount.

$P_r=x\\P_c=x\\\\A_r>A_c\\\\288 \ in^2>78.54\ in^2$

Hence, the rectangular pizza will give you more pizza.

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3 years ago

4. If it costs $18 for 24 pounds of grapes, how much would 8 pounds cost? What is the unit rate?

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2 years ago

Stephanie surveyed the students in her class to find out their favorite color. her results are in the table. what percent of Ste

wariber [46]

Hi there!

To solve this problem, we need to find the amount of classmates out of the entire class who did not choose blue as their favorite color and then convert it into a percentage.

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6 + 9 + 10 = 25

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16 is the numerator of the fraction.

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3 years ago

Please help, the word cut off is slope: 3

Sidana [21]

Answer:

1. y=3x-2

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Step-by-step explanation:

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2 years ago

Find the surface area of the following figure.

fgiga [73]

Answer:

$\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.$

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

$\qquad\boxed{\sf Area_{(square)}= side^2}$

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

$\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}$

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

$\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x \\\\\sf\implies x = \dfrac{ b}{3}$

$\rule{200}2$

Hence the TSA of cuboid in terms of lenght and breadth is :-

$\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}$

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2 years ago