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DENIUS [597]
2 years ago
7

7) State the prime factorization of 30.

Mathematics
1 answer:
polet [3.4K]2 years ago
5 0

Answer:

30=2\: *3\:*5

Step-by-step explanation:

We analyze between which prime numbers we can divide the number 30. The smallest prime number by which we divide is 2. Then:

\frac{30}{2}=15

We now look for the smallest prime number that divides the 15. Since 15 is not a multiple of 2, we make the division with the number 3 that is divisor of 15.

\frac{15}{3}=5

We now look for a number that divides to 5, but since 5 is a prime number, the only divisor other than 1 is 5. Then:

\frac{5}{5}=1

This ends the decomposition of 30 and we find 3 prime factors:

2,3 and 5.

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In the triangle below, determine the value of a.
makkiz [27]

Answer:

Step-by-step explanation:

This is classic right triangle trig.  Side a, our unknown, is adjacent to angle C which is a given.  You always have to use a given angle and side to find a missing side, so we have to figure out how the two givens are related to our unknown.  Side a is adjacent to angle C, and we are also given the hypotenuse.  We know side a is not the hypotenuse since the hypotenuse is ALWAYS the side across from the 90 degree angle.  The tan ratio of angle C will give us a way to have only one unknown.

tan 43 = a/26 and

26 tan 43 = a

Use your calculator now to find the missing side.  

a = 24.2 units long

4 0
3 years ago
Simplify I-5I + I6I<br> HELPP FASTT PLEASE ITS A TESTTTTTTTT!!!!!!!!!
Deffense [45]

Answer:

Answer is 11

Step-by-step explanation:

|-5| +|6|

= 5 + 6

=11

7 0
2 years ago
(A/N If you don't know please don't answer. I need this for extra credit)
jolli1 [7]

Answer:

112

Step-by-step explanation:

This is a cyclic quadralterial. A cyclic quadralterial is a quadralterial that is inscribed in a circle where all the point or vertices of the quadralterial touches the circle circumference. Opposite angles in a cyclic quadralterial are supplementary.

Angle R and Angle QPS or P is supplementary since they are opposite angle.

Substitute 68 for R

68 + qps = 180

qps = 112

So the answer is 112

3 0
2 years ago
A right circular cylinder has a base radius of 56 mm and a height of 128 mm. What is its volume in cubic centimeters? Round the
anzhelika [568]

Answer:

V = 1261 mm2

Step-by-step explanation:

Hello

V = Pi*(r^2)*h

V = Pi*([56]^2)*(128=

V = 1261 mm2

Best regards

4 0
2 years ago
a dental company has rolls of floss that are 1872 in long they want to put the distance in yards on their labels what is the dis
Aleonysh [2.5K]
The answer is 52 yards
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3 years ago
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