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2 years ago

A teacher wrote the following set of numbers on

Mathematics

1 answer:

Rama09 [41]2 years ago

6 0

Answer:

Did you copy this down correctly?

Step-by-step explanation:

b = .125 which is rational

a is irrational because the square root of a prime number is irrational.

If c = 225....

then adding 2 rational numbers = rational sum

But adding (or multiplying) an irrational number to a rational number = irrational number.

You might be interested in

Which digit makes 345 ___ divisible by 2? 1 8 3 7

storchak [24]

8. You can tell a number is divisible by 2 if it ends in a 0,2,4,6, or 8

7 0

2 years ago

In which quadrant is the point (-2, -9)?

myrzilka [38]

Answer:

3rd quadrant

Step-by-step explanation:

Given:

Point (-2, -9)

Computation:

In 1st quadrant (+ , +)

In 2nd quadrant (- , +)

In 3rd quadrant (- , -)

In 4th quadrant (+ , -)

So given point (-2, -9) is in 3rd quadrant.

4 0

2 years ago

3) A regulation basketball has a diameter of 9.4 inches. What is the volume of the ball?

Marrrta [24]

Answer:

Volume = 434.89276543154 inch³

Step-by-step explanation:

volume = 4/3πr³

where r is the radius

r = 9.4/2

r = 4.7³

Volume = 4/3×π×4.73³

Volume = 434.89276543154 inch³

7 0

2 years ago

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 are the excluded values of x for x+4/-3x2+12x+36

grin007 [14]

Answer:

x = - 2, x = 6

Step-by-step explanation:

The denominator of the rational expression cannot be zero as this would make the expression undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

Solve

- 3x² + 12x + 36 = 0 ( divide through by - 3 )

x² - 4x - 12 = 0 ← in standard form

(x - 6)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 2 = 0 ⇒ x = - 2

x = - 2 and x = 6 ← are the excluded values

5 0

3 years ago