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3 years ago

A farmer will divide a 1/4 acre plot of land into three equal-sized sections what will be the size of each section?

Mathematics

2 answers:

Natalija [7]3 years ago

8 0

1/4:3= 1/4•1/3=1/12acre - size of each section

1/2•1/5=1/10yard

NARA [144]3 years ago

4 0

#1) 1/4/3
1/4*1/3
=1/12
#2 1/2/5
1/2*1/5
=1/10

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Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 yards long

Oduvanchick [21]

Answer:

93 pieces

Step-by-step explanation:

To cover his backyard with sod, he needs to cover the area of the backyard.

His backyard is a rectangle, and area of a rectangle is given as:

$A=lw$

Where,

$l$ is the length, and

$w$ is the width

So, the area of Jim's backyard is $l*w=15\frac{5}{6}*10\frac{2}{5}=\frac{95}{6}*\frac{52}{5}=\frac{494}{3}$ square yards.

The area of each sods are solved using the area of the rectangle formula. So we have $l*w=1\frac{1}{3}*1\frac{1}{3}=\frac{4}{3}*\frac{4}{3}=\frac{16}{9}$ square yards as the area of each sod.

To find HOW MANY of these sods we would need to cover the whole backyard, we divide the backyard area by each sod area:

$\frac{\frac{494}{3}}{\frac{16}{9}}=\frac{741}{8}=92.625$

Since, fractional sods can't be bought, Jim has to buy 93 sods to cover his backyard.

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Find the surface area (in terms of π) of a sphere if its volume is 972 π.

Sholpan [36]

Surface area of sphere is $Surface\,\,Area=324\pi$

Step-by-step explanation:

We need to find the surface area of the sphere while we are given volume of sphere = 972π

The formula used to find surface area is:

$Surface\,\,Area=4\pi r^2$

We need to find radius of sphere

We are given Volume = 972π, using this volume we can find radius of sphere

The formula used to find volume is:

$Volume=\frac{4}{3}\pi r^3$

Putting values and finding r

$972\pi =\frac{4}{3}\pi r^3$

$r^3=\frac{972\pi *3}{4\pi } \\r^3=729$

Taking cube root on both sides

$\sqrt[3]{r^3}=\sqrt[3]{729}\\ r=9$

So, Radius of sphere r=9

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$Surface\,\,Area=4\pi r^2$

$Surface\,\,Area=4\pi (9)^2$

$Surface\,\,Area=4\pi 81$

$Surface\,\,Area=324\pi$

So, surface area of sphere is $Surface\,\,Area=324\pi$

Keywords: Surface area of sphere

Learn more about Surface area of sphere at:

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