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2 years ago

What are the surface area of each cylinder

Mathematics

1 answer:

Jlenok [28]2 years ago

7 0

It looks messy and blury

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A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

scZoUnD [109]

Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

2 years ago

The design of a microchip has the scale 40:1. The length of the design is 18cm, find the actual length of the micro chip?

zimovet [89]

Answer:

0.45 cm

Step-by-step explanation:

Actual length of the micro chip

$= \frac{1}{40} \times 18 \\ \\ =0.45 \: cm$

4 0

2 years ago

Please help as soon as possible Will mark BRAINLIEST!!!!!

omeli [17]

Answer:

Width = 40ft

Step-by-step explanation:

Area of a rectangle = Length x Width

=> 1600 = 40 x W

=> 1600 = 40W

=> 1600/40 = 40W/40

=> 40 = W

So, the width is 40 ft

6 0

2 years ago

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What is 10/25 simplified

Natalija [7]

$\frac{10}{25}= \frac{10\div5}{25\div5}=\boxed { \frac{2}{5} }$

5 0

2 years ago

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Given that the measure of ∠x is 60°, and the measure of ∠y is 90°, find the measure of ∠z.

UkoKoshka [18]

The answer is 30 because u need to add 60+90=150 and then subtract 180-150 which gives you 30

7 0

3 years ago

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