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Tasya [4]
2 years ago
5

What is the prime factorization of 60?​

Mathematics
1 answer:
Serjik [45]2 years ago
8 0

Answer:

2*2*3*5

Step-by-step explanation:

Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.

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Find the length of STV in the figure.
o-na [289]

Answer: The length of STV is about 76.83 in.

Step-by-step explanation:

The length of an arc is given by :-

l=\frac{\theta}{360^{\circ}}\times2\pi r, where r= radius of the cirle, \theta is the central angke made by arc.

As per given , Radius of the circle : r= 20 in

Central angle of arc SCV = 140^{\circ}

Then, Central angle of arc SCV = 360^{\circ}-140^{\circ}=220^{\circ}

Then, the length of the arc STV =

l=\frac{220^{\circ}}{360^{\circ}}\times2(\frac{22}{7}) (20)\\\\=\frac{11}{18}\times\frac{880}{7}\\\\=76.8253968254\approx76.83\text{ in.}

Hence, the length of STV is about 76.83 in.

5 0
4 years ago
Suppose y varies directly with x, and y = 12 when x = 2. What direct variation
neonofarm [45]

Answer:

y=24

Step-by-step explanation:

<u>Given:</u>

y=kx

<u>Substitute:</u>

\left \{ {{y=12} \atop {x=2}} \right. into y=kx

12=k\times2

<u>Swap the sides:</u>

<u />k\times2=12

<u>Divide both sides of the equation by the coefficient of variable:</u>

<u />k=\frac{12}{2}

<u>Cross out the common factor:</u>

<u />k=6

<u>Find the equation of the function:</u>

<u />y=6x

<u>Substitute:</u>

<u />y=6\times4

<u>Calculate the product or quotient:</u>

<u />y=24

4 0
3 years ago
If p q r is prime numbers such that pq+r=73, what is the least possible value of p+q+r
Jobisdone [24]
The answer to this question would be: p+q+r = 2 + 17 + 39= 58

In this question, p q r is a prime number. Most of the prime number is an odd number. If p q r all odd number, it wouldn't be possible to get 73 since
odd x odd + odd= odd + odd = even
Since 73 is an odd number, it is clear that one of the p q r needs to be an even number. 

There is only one odd prime number which is 2. If you put 2 in the r the result would be:
pq+2= 73
pq= 71
There will be no solution for pq since 71 is prime number. That mean 2 must be either p or q. Let say that 2 is p, then the equation would be: 2q + r= 73

The least possible value of p+q+r would be achieved by founding the highest q since its coefficient is 2 times r. Maximum q would be 73/2= 36.5 so you can try backward from that. Since q= 31, q=29, q=23 and q=19 wouldn't result in a prime number r, the least result would be q=17
r= 73-2q
r= 73- 2(17)
r= 73-34=39

p+q+r = 2 + 17 + 39= 58
6 0
3 years ago
Read 2 more answers
Tim's phone service charges $24.39 plus an additional $0.24 for each text message sent per month. If Tim's phone bill was $30.39
alex41 [277]
The answer is D - $0.24x + $24.39 = $30.39
7 0
4 years ago
Is 2.64 greater or less than 1.9?
Schach [20]

2.64 is greater than 1.9

4 0
3 years ago
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