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2 years ago

Solve this equation using elimination distribution or substitutionX^2=11x-10

Mathematics

1 answer:

Tema [17]2 years ago

8 0

Answer:

it either x = 10 or x = 1

Step-by-step explanation:

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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

A flower bed has the shape of a rectangle 21 feet long and 9 feet wide. What is its area in square yards?

Licemer1 [7]

21 times 9 which equals 189 feet and there are 3 feet in a yard so we do 189 divided by 3 which equals 63 so the answer is 63 square yards.

Brainlist please! :)

4 0

2 years ago

Read 2 more answers

Please help ASAP failing class if i dont answer correct

NNADVOKAT [17]

(See the imagine for reference)
Let’s solve where they have a triangle, so the height is 9 cm, the base is 3 cm:

1/2 • 9 • 3 = 13.5

Since there’s 2 triangles we do:

13.5(2) = 27

Now the rectangle in the middle, where the height is 9cm and the base is 12cm:

12 • 9 = 108

Add up the areas:

108 + 27 = 135