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Olenka [21]
3 years ago
15

Find the prime factorization of the number 12​

Mathematics
1 answer:
Vsevolod [243]3 years ago
4 0

First, you must use a factor tree to find the prime factors of the number.

                           12

                          /   \

                        6      (2)

                      /   \

                    (3) (2)

2 , 2 and 3 are the prime factors that make 12

2 x 2 x 3= 12

Or

2^2 x 3= 12

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Planet A has a circumference of 93,480 miles. Its moon has a diameter that is approximated to be 1/ 8 that of Planet A. Find the
Alika [10]

Answer:

1071202 miles

Step-by-step explanation:

Circumference of planet A = 2 \pi r

We are given that Planet A has a circumference of 93,480 miles.

2 \pi r = 93480

2r = \frac{93480}{\pi}

Since we know that twice the radius is diameter

So, d_{PlanetA} = \frac{93480}{\pi}

Now we are given that Its moon has a diameter that is approximated to be 1/ 8 that of Planet A.

So, d_{Moon} = \frac{1}{8} \times \frac{93480}{\pi}

d_{Moon} = \frac{11685}{\pi}

Distance_{moon}=288 \times diameter_{moon}

Distance_{moon}=288 \times \frac{11685}{\pi}

Distance_{moon}=\frac{3365280}{3.14}

Distance_{moon}\sim 1071202

Hence  the approximate distance of the moon from Planet A is 1071202 miles

4 0
3 years ago
6 and 7? Geometry homework
Rashid [163]

Answer:

Step-by-step explanation:

6) triangle ABC is similar to triangle DEC. It means that

AB/DE = BC/EC = AC/DC

Therefore,

6/21 = 10/y

Cross multiplying, it becomes

6y = 210

y = 210/6

y = 35

Also

6/21 = x/28

Cross multiplying, it becomes

6 × 28 = 21x

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x = 168/21

x = 8

7) triangle JKL is similar to triangle NMP. It means that

JK/NM = KL/MP = JL/NP

Therefore,

49/14 = (9x + 1)/(x + 5)

Cross multiplying, it becomes

49(x + 5) = 14(9x + 1)

49x + 245 = 126x + 14

126x - 49x = 245 - 14

77x = 231

x = 231/77

x = 3

4 0
3 years ago
a TV has a listed price of 813.95 before tax if the sales tax rate is 6.5% find a total cost of the tv with the sales tax includ
shusha [124]
The tax is 6.5% OF the listed price. "OF" in math means multiply.

First convert the percentage to a decimal 

6.5% = .065

Then multiply .065*813.95 = 52.90675. This is the tax.

Simply add the tax onto the cost

813.95 + 52.90675 = $866.86 (rounded)
5 0
2 years ago
Read 2 more answers
The following formula relates three quantities Force (F) mass (m) and acceleration (a).
Agata [3.3K]

a. F = ma

F/a = ma/a

m = F/a

b. F = ma

-30 = -6a

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c. F = ma

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4 0
3 years ago
Determine whether the events are independent or dependent: rolling a number cube and tossing a coin
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Its independent because it does not depend on the answer before
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3 years ago
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