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2 years ago

2. The ground below your feet moves at the rate at which

Mathematics

1 answer:

garik1379 [7]2 years ago

5 0

I’m just going off of what I was told in fifth grade, and we were told it was finger nails. Hope this helps!

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What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm

makkiz [27]

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

Height of prism = 9cm

Height of base (h)= 10cm

Find:

The volume of the prism.

Computation:

Area of base of hexagonal prism = n/2[bh]

Area of base of hexagonal prism = 6/2[(12)(10)]

Area of base of hexagonal prism = 360 cm²

The volume of prism = Area of base of hexagonal prism × Height of prism

The volume of prism = 360 × 9

Volume of prism = 3,240 cm³

3 0

2 years ago

The area of the surface of the swimming pool is 210 square feet. What is the length d of the deep end in feet

Natali [406]

72 is the length d of how deep end in feet}

6 0

2 years ago

a movie theater has 14 different movies showing. If you want to attend no more than 3 of the movies, how many different combinat

zvonat [6]

14C3 = 14! / 11!3!

= 14 x13 x12 / 3x2x1 
= 2184 / 6 
= 364 different combinations 

The first movie can be any of 14 
As you have already seen one the second movie can be any of the 13 remaining 
As you have already seen two the third movie can be any of the 12 remaining. 

Therefore there are 14 x 13 x 12 = 2184 PERMUTATIONS of movies you can see. 
However among those 2184 different permutations will be instances where you have watched the same three movies but just in a different order. 
eg ET, The Piano, Harry Potter = ET Harry Potter The Piano = The Piano, ET, Harry Potter = The Piano Harry Potter ET = Harry Potter ET The Piano = Harry Potter The Piano ET. 
For each set of three films there are 3! or 3x2x1 or SIX different ways they can be arranged in. 
Therefore we need to DIVIDE the above 2184 permutations by 6 to get the number of COMBINATIONS of different films that can be watched. 
2184 / 6 = 364

5 0

1 year ago

If triangle LMN has an obtuse angle at vertex M, which statements could be true? Check all that apply.

nirvana33 [79]

Answer: Triangle LMN is an obtuse triangle.

The angle at vertex L is acute.

The angle at vertex N is acute.

Step-by-step explanation:

Here, triangle LMN has an obtuse angle at vertex M,

Thus, by the definition of obtuse angle triangle LMN is an obtuse triangle,

Now, Angle M is obtuse,

⇒ 90° < m∠ M < 180°

Since, by the property of a triangle,

m∠ L + m∠ M + m∠ N = 180°

⇒ m∠ M = 180° - ( m∠ L+ m∠ N )

⇒ 90° < 180° - ( m∠ L+ m∠ N ) < 180°

⇒ 90° - 180° < - ( m∠ L+ m∠ N ) < 0

⇒ -90° < - ( m∠ L+ m∠ N ) < 0

⇒ 90° > ( m∠ L+ m∠ N ) > 0 ( Since, a - b)

⇒ 90° > m∠ L and 90° > m∠ N

⇒ Both angle L and angle N are acute.

5 0

2 years ago

Read 2 more answers

The crew of apollo 17 consisted of 2 pilots and a geologist. Suppose that nasa had actually trained 9 pilots and 4 geologists as

Troyanec [42]

They could have assembled total 336 different possible crews.

Explanation

Total number of trained pilots is 9 and geologists is 4.

The crew should be consisted of 2 pilots and 1 geologist. That means, 2 pilots are chosen from total 9 and 1 geologist is chosen from total 4.

Number of ways for choosing 2 pilots from 9 $= ^9C_{3} =84$ and

Number of ways for choosing 1 geologist from 4 $=^4C_{1}= 4$

So, the total possible number of different crews they could have assembled $=84*4= 336$

8 0

2 years ago