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2 years ago

I need the answer to problem 6

Mathematics

1 answer:

TiliK225 [7]2 years ago

8 0

Answer:

There are two possible answers, points 2 and 3

Step-by-step explanation:

Find the letter E, B, and F, and find the angle that connects them all. Then find a point that is in that specific angle. You will find that there are two possible answers, points 2 and 3.

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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

3 years ago

I need help please and thank you

fomenos

Answer:

37.7 feet.

Step-by-step explanation:

6 0

3 years ago

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Please solve for y! I will make the first answer brainlist!(sorry if I spelled it wrong) :)

Lapatulllka [165]

Answer:

y = -5

Step-by-step explanation:

-7 = y -2 

y = -7 +2

y = - 5 

plz mark my answer as brainlist..

7 0

2 years ago

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What is the energy stored in a spring when it is compressed 5mm by a 60N force?

Stolb23 [73]

Answer:

can you elaborate?

Step-by-step explanation:

5 0

3 years ago

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What is 6 divide by 5

lara31 [8.8K]

Hey there!

6 divided by 5 = 1.2

Hope this helps!
Have a great day! (:

7 0

3 years ago