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3 years ago

The number 3. I 4063 written correct to 3 decimal places is

Mathematics

1 answer:

grin007 [14]3 years ago

6 0

Answer:

3.141

Step-by-step explanation:

From the decimal point, count three no. s to the right. If the no. after the three no. s is more than five, add one to third no. if not more than five then third no. remains as it is

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Factorize this expression completely <br>using (a-b)² formula<br>3a²- 36a + 108

Novosadov [1.4K]

Answer:

$3a^2 - 36a + 108 = (\sqrt{3}a - 6\sqrt{3} )^2$

Step-by-step explanation:

$3a^2 = (\sqrt{3} a)^2\\108 = 9 \times 4 \times 3= 3^2 \times 2^2 \times 3 = (3\times2 \sqrt{3} )^2 = (6\sqrt{3})^2$

$so, a = \sqrt{3} a \ , \ b = 6\sqrt{3} \\\\(a - b)^2 = a^2 -2ab + b^2\\\\-36a = -2ab\\\\-36a = -2 \times \sqrt{3} a \times 6\sqrt{3}$

Therefore ,

$3a^2 - 36a + 108 = (\sqrt{3}a )^2 - 2(\sqrt{3}a \times 6\sqrt{3} ) + (6\sqrt{3} )^2 = (\sqrt{3}a - 6\sqrt{3} )^2$

6 0

3 years ago

II. Let f(x) = 9 – x , g(x) = x2<br> + 4, and h(x) = x – 2. Compute the following:<br> 7. g(f(12))

Alex17521 [72]

G(f(12))
f(12) = 9 - 12 = -3
g(-3) = (-3)^2 + 4 = 9 + 4 = 13

4 0

3 years ago

How do you find the missing length indicated

Free_Kalibri [48]

What is the length? Can you post a picture?

8 0

3 years ago

Kevin wants to cover a rectangular floor that is 15 feet by

igor_vitrenko [27]

Answer: 50 square yards

Step-by-step explanation:

From the question, we are informed that Kevin wants to cover a rectangular floor that is 15 feet by 30 feet with carpeting.

The first thing to do is to convert the measurement that were given to yards. We should note that 1 yard = 3 feet

15 feet = 15/3 = 5 yards

30 feet = 30/3 = 10 yards

Area = 5 × 10 = 50 square yards

7 0

3 years ago

The ratio of the areas of two similar polygons is 225:36. What is the ratio of their corresponding sides?

Vladimir [108]

The ratio of the areas:
225 : 36 = 15² : 6²
The ratio of their corresponding sides:
15 : 6 = 5 : 2

3 0

3 years ago