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3 years ago

Prove why 2,5,8,11 and 14 are not perfect squares?

Mathematics

2 answers:

Svetach [21]3 years ago

8 0

Answer:

✓2=1.41421

✓5=2.23607

✓8=2.82842

✓11=3.31662

✓14=3.74166

Step-by-step explanation:

Therefore the numbers are increasing by three so they cant be perfect square

Murljashka [212]3 years ago

3 0

Answer:

because there is an exact square number such as:4,9

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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

If g(x) = x^2 – 2x + 11, find g (-2)

disa [49]

Answer:

Step-by-step explanation:

g(x) = x^2 – 2x + 11

Let x=-2

g(-2) = (-2)^2 – 2(-2) + 11

Powers first

=4 -2(-2) +11

Then multiply

= 4 +4 +11

Now add

= 19

7 0

3 years ago

Jillian receives a $30 gift card to use at a movie theater. She spends $11 on her movie ticket and she wants to spend the remain

abruzzese [7]

2, 3, and 5.
Hope this could help.
rrriok, the home of...idk

7 0

4 years ago

Read 2 more answers

How do you expand and simplify (x-7)(x-8).

Anna11 [10]

EXPAND-x^{2} +-8x+-7x+56
SIMPLIFY- x^{2} +15x+56

5 0

3 years ago

Write the equation of a circle with center (0,−6) and radius 4 in general form.

lions [1.4K]

Answer:

x^2 + (y + 6)^2 = 4^2

Step-by-step explanation:

The general form we need here is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

If the center is at (0, -6) and the radius is 4, then the desired equation is

(x - 0)^2 + (y + 6)^2 = 4^2, or just

x^2 + (y + 6)^2 = 4^2

4 0

4 years ago

Prove why 2,5,8,11 and 14 are not perfect squares?​

Prove why 2,5,8,11 and 14 are not perfect squares?