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3 years ago

Find the prime factorization of 108

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

7 0

Answer:

2^2 * 3^3

Step-by-step explanation:

When breaking of 108 into factors, you first get 9 and 12. Then, the 9 gets split into a 3 and a 3. Meanwhile the 12 is split into a 3 and a 4. Finally the 4 is split into a 2 and a 2. So you end up with 2*2*3*3*3, which is the same as 2^2 * 3^3

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Salina, Tamara, and Uma are working on their homework together. Salina tells her friends that she got θ=52∘θ=52∘ for the inverse

svlad2 [7]

Answer:

The values reported by Uma, Salina, and Tamara are all possible values for inverse cosine

Step-by-step explanation:

Solution:-

- The solution to the inverse "cosine" problem would have a general form:

θ = cos^-1 ( a )

Where, a: Any arbitrary constant, - 1 < a < 1

- The value of θ = 52° was reported by Salina suggests that the answer lies in the first quadrant of a cartesian plane where ( sin (θ) , cos (θ) , tan (θ) ) have positive values for "a".

Hence, 0 < a < 1 , θ = 52°

- The value of θ = 128° was reported by Tamara suggests that the answer lies in the second quadrant of a cartesian plane where ( sin (θ) ) have positive values for "a" and (cos (θ) , tan (θ) have negative values for "a". So for cos (128):

Hence, -1 < a < 0 , θ = 128°

- The value of θ = 308° was reported by Uma suggests that the answer lies in the fourth quadrant of a cartesian plane where ( cos (θ) ) have positive values for "a" and (sin (θ) , tan (θ) have negative values for "a". So for cos (308):

Hence, 0 < a < 1 , θ = 308°

- The angle θ reported by Uma and Salina are similar solution because of property law of complementary angles:

cos (θ) = cos ( 360 - θ )

Where, θ = 52°, cos (52°) = cos( 308°) .. Uma and Salina conform

However, cos ( 180 - θ ) = - cos (θ)

cos(128) = - cos ( 52 ) .... Uma and Tamara conform.

5 0

3 years ago

450 is 75 percent of what number

hodyreva [135]

1.75/100X= 450 2. 450/.75 = X 3. X= 600

6 0

3 years ago

Read 2 more answers

Which is an example of categorical data?

Ostrovityanka [42]

Answer:

Step-by-step explanation:

I'm positive its B, if it's not B then then D

hope this helps!

8 0

2 years ago

If the mean and the median of a distribution is 12, what is true about the mode?

MrRa [10]

I'd say the mode is probably also 12.

4 0

3 years ago

The ages of adults in a certain community follow a normal distribution with mean 38 and standard deviation 6. The random variabl

nataly862011 [7]

Answer:

a = 33.32

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 38, \sigma = 6$