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HACTEHA [7]
3 years ago
9

Evaluate the following using powers of ten rules. 104)1.042

Mathematics
1 answer:
Alinara [238K]3 years ago
5 0

Answer:

0.0001042

Step-by-step explanation:

Power of tens rule states that if the denominator of a fraction has the positive power of 10, decimal in the numerator will be shifted to the left by the same number of places as exponent.

10⁴) 1.042 = \frac{1.042}{10^4}

In the denominator of the given fraction, exponent of 10 = +4

So the decimal in numerator will be shifted left by 4 places.

\frac{1.042}{10^4}=0.0001042

Therefore, answer is 0.0001042

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A box contains 10 red , 3 blue, and 7 white balls , two balls are drawn at random from the box on after the other without replac
mestny [16]

Answer:

P(XX) = 69/190

Step-by-step explanation:

Given:

20 balls, 10R, 3B, 7W.

Two taken without replacement.

Find probability of two identical colours.

P(XX)

Solution:

We use the multiplication rule for the probability of each of the 2 draws

P(RR) = 10/20*9/19 = 90/380

P(BB) = 3/20*2/19 = 6/380

P(WW) = 7/20*6/19 = 42/380

Probability of drawing two identical coloured balls

P(XX) = (90+6+42)/380 = 138/380 = 69/190

4 0
4 years ago
What is the fully factored form of 32a3+12a2
galben [10]
Hello!

I believe it would be 4a(8+3)6
By finding the GCF, 4a, we factor what it can go into. The other factors, 3 and 2, are multiplied and put at the end.

Hope this helps!
3 0
3 years ago
In triangle​ ABC, the measure of angle B is 44degrees more than three times the measure of angle A. The measure of angle C is 61
Gnom [1K]

Answer:

m<A =15, m<B=89, m<C=76

Step-by-step explanation:

A = x

B = 44 + 3x

C = x+61

44 + 3x + x + x + 61 = 180

(you get 5x because you're adding the additional actual value of A to the equation)

now you gotta mush this together

5x + 105 = 180

and now subtract

5x = 75

then divide

x = 15

Great! we found the value of angle A!

now lets plug this in for x in the formulas up top!

B = 44 + 3(15)

B = 44 + 45

B = 89

Yayyyy we're almost done!

C = (15) + 61

C = 76

That's it! that's the value of each angle!

you can check your work by adding the three numbers together to get 180

so lets see

15 + 89 + 76 =

drum roll please

.

.

.

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180!!

We did it!

7 0
4 years ago
Is 5-3•1 is equal greater than or less than (5-3)•1
harina [27]

Answer: The answer would be =

This is just the same thing

Hope this helps!

5 0
3 years ago
The perimeter of a rectangle is 52 meters. The length is 2 1/4 times the width. What are the dimensions of the rectangle
masya89 [10]

Answer:

Step-by-step explanation:

HBVVVVVVVVBBBBJ..YGBJO;

4 0
3 years ago
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