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elena-s [515]
3 years ago
6

What is the answer to the equation 5/14+1/6

Mathematics
1 answer:
BigorU [14]3 years ago
3 0
5/14+1/6=5*3/42+1*7/42=15/42+7/42=22/42=11/21
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What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm​ long, 11 cm​ wide, and 10 cm​ tal
sammy [17]

Answer:

  √446 ≈ 21.12 cm

Step-by-step explanation:

The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:

  d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²

  d = √446 cm ≈ 21.12 cm

The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.

_____

<em>Additional comment</em>

The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.

8 0
2 years ago
Evaluate 3C1.<br><br> a)3<br> b)1<br> c)2<br> d)6
murzikaleks [220]

Answer: Option a) 3

Step-by-step explanation:

The formula for calculating combinations is as follows

nCr = \frac{n!}{r!(n-r)!}

Where "n" is the amount of items in a set and you can choose "r" from them

3C1 reads as: The combination of 1 in 3. You have a set of 3 elements and choose 1 of them.

n = 3\\\\r = 1

So :

3C1=\frac{3!}{1!(3-1)!}\\\\3C1=\frac{3!}{1!*2!}\\\\3C1=\frac{3*2*1}{1*2*1}\\\\3C1=3

5 0
2 years ago
The security alarm on a parked car goes off and produces a frequency of 951 hz. the speed of sound is 343 m/s. as you drive towa
AVprozaik [17]
951hz divide by 343m/s = <span>2.77259475
times the answer by 99hz = </span><span>274.48688
to 1 d.p is 274.5m/s</span>
7 0
2 years ago
8) There are 2116 students in a school .In how many equal rows and columns can they be arranged for a drill display?
svetoff [14.1K]

Answer:

46

Explanation:

root of 2116

=46×46

Therefore 46 columns and 46 rows

8 0
2 years ago
Read 2 more answers
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musickatia [10]

Answer:

question 14 should be B and 10 is also B

7 0
3 years ago
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