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2 years ago

Two similar triangular prisms have volumes of 27 square meters and 64 square meters.

Mathematics

1 answer:

Inessa [10]2 years ago

8 0

Answer:

9/16

Step-by-step explanation:

First we need to know that the dimensions ratio, the surface area ratio and the volume ratio have the following relation:

volume ratio = dimension ratio ^3

surface area ratio = dimension ratio ^2

The volume ratio between small prism and the large prism is 27 / 64.

To find the dimensions ratio, we need to take the cubic root of the volume scale:

dimension ratio = 3√(27/64) = 3/4

Now, to find the surface area ratio, we just need to make the square of the dimension ratio:

surface area ratio = (3/4)^2 = 9/16

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How many distinguishable 11 letter "words" can be formed using the letters in MISSISSIPPI?

SCORPION-xisa [38]

This is given by the multinomial coefficient:

$\dbinom{11}{1,4,4,2}=\dfrac{11!}{1!4!4!2!}=34650$

If you're not familiar with the multinomial coefficient, you may be able to see it more clearly if you count the number of possible combinations taking each distinct letter $n$ times, where $n$ is the number of times it shows up in the original word.

$\underbrace{\dbinom{11}1}_{\text{M}}\underbrace{\dbinom{10}4}_{\text{I}}\underbrace{\dbinom64}_{\text{S}}\underbrace{\dbinom22}_{\text{P}}=\dfrac{11!}{1!10!}\dfrac{10!}{4!6!}\dfrac{6!}{4!2!}\dfrac{2!}{2!0!}=\dfrac{11!}{1!4!4!2!}$

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3 years ago

Find the value of x and y.

Leya [2.2K]

Answer:

x = 63 y = 27

Step-by-step explanation:

The straight line is 180 degrees

subtract 117 from 180 to get 63

It says x+7= 90, so subtract x(63) from 90 to get 27

4 0

2 years ago

2^4<br> 2^3<br> 2^2<br> 2^1<br> what pattern do you notice?

Scorpion4ik [409]

Answer:

Really? The pattern is that this is probably influenced by is a negative exponential function. The pattern is that the exponent is decreased by one.

Step-by-step explanation:

5 0

3 years ago

A watermelon seed is 0.4cm long. How far would a line of 126 stretch?

nikdorinn [45]

Answer:

0.504m

Step-by-step explanation:

First, we would multiply 0.4cm by 126 watermelon seeds to find the length of the line in cm.

0.4*126

= 50.4cm

Therefore, the line of watermelon seeds stretches 50.4cm.

Now, because the question wants us to type the answer in meters, we must convert 50.4cm into meters. We do this by dividing 50.4 by 100 since 100cm makes up 1 meter.

50.4/100

= 0.504m

Therefore, the line of watermelon seeds stretches 0.504m.

I hope this helps!

6 0

2 years ago

Helpppppp$$$!!!!!!!!!!!!!!!!! Plz

insens350 [35]

9514 1404 393

Answer:

Step-by-step explanation:

Given the triangle congruence statements, the segment and angle congruence statements must refer to corresponding vertices. Corresponding vertices are listed in the same order in the triangle congruence statement.

The one FALSE statement in the bunch is ...

$\overline{OD}\cong\overline{AL}$

The true statements for these segments would be ...

$\overline{OD}\cong\overline{JL}\\\\\overline{CD}\cong\overline{AL}$

5 0

2 years ago