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3 years ago

What number between 1 and 100 have 12 factors

Mathematics

1 answer:

kotykmax [81]3 years ago

7 0

Answer:

Your answer is:

60= 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

84= 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

90= 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

96= 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The second-highest number of factors are 48 and 80, containing 10 factors each.

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39-50 find the limit.<br> 41. <img src="https://tex.z-dn.net/?f=%5Clim%20_%7Bt%20%5Crightarrow%200%7D%20%5Cfrac%7B%5Ctan%206%20t

Katyanochek1 [597]

Write tan in terms of sin and cos.

$\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}$

Recall that

$\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1$

Rewrite and expand the given limand as the product

$\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)$

Then using the known limit above, it follows that

$\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}$

4 0

2 years ago

Find an odd number with 3 digits such that all the digits are different and add up to 15. The difference between the first two d

Serjik [45]

Answer:

The three digit number = 951

Step-by-step explanation:

Let suppose the numbers are:

= abc

According to given condition:

a+ b + c = 15 -------------eq1

Also, given the difference between the first two digit = the difference between the last two digits:

==> l a-b l = l b-cl

==> (a-b) = (b-c)

==> (a+c) = 2b

Now we will substitue in eq1

==> a+ b + c = 15

==> 2b + b = 15

==> 3b = 15

Dividing both sides by 3 we get:

b =5

a + c = 2b

a+ c = 10

a = 10 -c ..........(2)

We know that"

(a-b) = (b-c)

==> a > b+c

==> a > 5 + c

==> 10 -c > 5 +c

==>5 > 2c

==> 2.5 > c

As c is an odd number so c will be equal to 1

c = 1

a = 10 -1

a = 9

The three digit number = 951

The hundred digit is greater than the sum of the tens and ones digits

i hope it will help you!

6 0

3 years ago

Hyperloop, a new mode of travel, aims to reach a speed of 170170 \dfrac{\text{m}}{\text{s}} s m . This is 50\%50% less than th

liraira [26]

Answer:

Speed of sound is 340 meter per second.

Step-by-step explanation:

Let the speed of sound = x meter per second.

It is given that,

The new mode of travel has the speed 170 meter per second, which is 50% less than the speed of sound.

So, we get,

x - 50%x = 170

i.e. x - 0.5x = 170

i.e. 0.5x = 170

i.e. x = 340 meter per second

Hence, the speed of sound is 340 meter per second.

7 0

3 years ago

Jol 26, 12:24:35 PM

love history [14]

Answer:

x = 16.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 71 = x /5.7

5.7 tan 71 = x

x=16.55400

Rounding to the nearest tenth

x = 16.6

6 0

3 years ago

Help me with this to and use pemdas or not

PtichkaEL [24]

(72÷2)³ - 7 · 9 ÷ 9

First, parenthesis

72÷2 is 36

Next, exponents.

36³ is 46656.

Then, multiplication.

7 · 9= 63

After that, division.

63 ÷ 9 is 7

Finally, subtraction.

46656 - 7 is 46649

4 0

3 years ago

What number between 1 and 100 have 12 factors​

What number between 1 and 100 have 12 factors