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Alexandra [31]
3 years ago
9

Which statement is true? O A. The number 23 is prime, but 36 is composite. B. The number 33 is prime, but 42 is composite. OC. T

he number 21 is prime, but 25 is composite. D. The number 27 is prime, but 39 is composite.​
Mathematics
1 answer:
IRINA_888 [86]3 years ago
3 0

Answer: A. The number 23 is prime, but 36 is composite.

=====================================================

Explanation:

Let's go through the possible answer choices

  • A) This is true because 23 only has the factors 1 and 23. So that's why 23 is prime. We can say 36 is composite since 2 is a factor, ie 36 = 2*18.
  • B) This is false because 33 is not prime. Note how 33 = 3*11, showing that 3 is a factor of 33.
  • C) Similar to B, the statement "21 is prime" is false. Note how 21 = 3*7.
  • D) Like the other false statements, 27 is not prime because 27 = 3*9.

You might be interested in
indicate whether the measures 8, 14, and 16 can be the side lengths of a triangle. if they can, classify the triangle.
Aleksandr-060686 [28]

Answers:  

A triangle is possible.

The triangle is <u>acute</u> and <u>scalene</u>

=============================================================

Explanation:

We use the triangle inequality theorem to see if a triangle is possible with these side lengths.

Consider the side lengths a, b, and c. A triangle is possible if and only if the following 3 conditions hold true

  • a+b > c
  • a+c > b
  • b+c > a

Basically pick any two sides. If the sum is larger than the third side, then a triangle is possible.

-----------------

In this case we have: a = 8, b = 14, c = 16. The order of the a,b,c values doesn't really matter.

Then:

  • a+b = 8+14 = 22 which is larger than c = 16. So a+b > c is true.
  • a+c = 8+16 = 24 is larger than b = 14. So a+c > b is true.
  • b+c = 14+16 = 30 is larger than a = 8. So b+c > a is true.

All three inequalities mentioned are true; therefore, <u>a triangle is possible</u> with these side lengths.

-----------------

We'll use those a,b,c values in the converse of the pythagorean theorem to determine what kind of triangle this is. So far we know it's <u>scalene</u> because all three side lengths are different. It would be isosceles if it had exactly two equal sides, and equilateral if all 3 sides were the same length.

a^2+b^2 = c^2\\\\8^2+14^2 = 16^2\\\\260 = 256\\\\

The last equation is false, which tells us this triangle is not a right triangle. It's either acute or obtuse.

Since a^2+b^2 > c^2 is the case here, we can conclude the triangle is <u>acute</u>

If a^2+b^2 < c^2 was the case, then the triangle would be obtuse.

-----------------

Summary:

  • A <u>triangle is possible</u> with side lengths a = 8, b = 14, c = 16.
  • This triangle is <u>scalene</u> and <u>acute</u>
4 0
1 year ago
A fluid moves through a tube of length 1 meter and radius r=0.006±0.00025 meters under a pressure p=4⋅105±2000 pascals, at a rat
iris [78.8K]

Answer:

Maximum error for viscosity is 17.14%

Step-by-step explanation:

We know that everything is changing with respect to the time, "r" is changing with respect to the time, and also "p" just "v" will not change with the time according to the information given, so we can find the implicit derivative with respect to the time, and since

n = (\frac{\pi}{8}) (\frac{pr^4}{v})\\

The implicit derivative with respect to the time would be

\frac{dn}{dt}  = \frac{\pi}{8} ( \frac{r^4}{v} \frac{dp}{dt}  + \frac{4pr^3}{v}\frac{dr}{dt} )

If we multiply everything by    dt   we get  

dn  = \frac{\pi}{8} ( \frac{r^4}{v} dp  + \frac{4pr^3}{v}  dr})

Remember that  the error is given by   \frac{dn}{n}   therefore doing some algebra we get that

\frac{dn}{n}  =    4 \frac{dr}{r}  +  \frac{dp}{p}

Since,    r = 0.006   ,   dr = 0.00025 ,  p = 4*105   ,   dp = 2000  we get that

\frac{dn}{n} = 0.1714

Which means that  the maximum error for viscosity is 17.14%.  

5 0
3 years ago
Take LCM ald then do in full process​please help me
Marina86 [1]

Answer:a) L.C.M OF 2,3,5 is 30

THEREFORE=60/30+15/30÷10/30-6/30

=60/30+15/30×30/10-6/30(DMAS)

=60/30+3/2-6/30

=60+45/30 -6/30(ADDITION FIRST THEN SUBTRACTION.

=105/30-6/30

=105-6/30

=99/30

=33/10

b)(3+1/2)÷(2-1/2)=L.C.M IS 2,=(6+1/2)÷(4-1/2)=7/2÷3/2=7/3

8 0
3 years ago
Please help, brainliest awarded to actual answers
DIA [1.3K]
The answer is B !!!!
6 0
3 years ago
What is the answer to this problem
Anarel [89]
The answer is B 4/5.

Hope this helps
7 0
3 years ago
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