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3 years ago

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What is an algebra?

1 answer:

Angelina_Jolie [31]3 years ago

8 0

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.

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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

What is this number written in standard form 3×1,000,00+3×100,00+2×100

pav-90 [236]

3(1,000,000)=3,000,000
3(100,000)=300,000
2(100)=200
3,300,200

6 0

2 years ago

Read 2 more answers

How to solve intergers with 3 numbers

geniusboy [140]

If it's add you subtract if it's subtract you add

4 0

3 years ago

HELP PLEASE!!! will give brainliest!!<br> Domain and range from graph<br> What is the range of g?

Sonbull [250]

Answer:

[-4,9)

Step-by-step explanation:

im like 99% sure this is right bc i just did a problem like this (:

6 0

2 years ago

Read 2 more answers

-4x = 16<br><br> a -64<br><br><br><br><br> b 4<br><br><br><br><br> c 20<br><br><br><br><br> d-4

cricket20 [7]

-4× = 16 answer: -4

Step-by-step explanation:

-4 × -4 = 16

4 0

2 years ago