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fomenos
2 years ago
13

This figure shows the dimensions of a right triangular prism.

Mathematics
2 answers:
Naddik [55]2 years ago
8 0

Answer:

960cm3 (C)

Step-by-step explanation:

What i like to do is pretend that the triangle is a cube then find the volume then divide it by two (A triangle or triangular prisom is half the size of a cube or ractangular prisom). First we multiply 8*12*20 and get the volume of a rectangular prisom, then just divide 1,920 by 2 and you get 960cm3.

HOPE IT HELPED

Molodets [167]2 years ago
3 0

Answer:

960

Step-by-step explanation:

Boom! If I get this wrong I am bad.... :(

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a line passed through the point (8,9) and has a slope of -3/4. write an equation in slope intercept form.
bagirrra123 [75]

Answer:

y = -3/4x + 3

Step-by-step explanation:

y - 9 = -3/4 (x-8)

y-9 = -3/4x -6

y = -3/4x - 6 + 9

y = -3/4x + 3

8 0
3 years ago
An elevator containing five people can stop at any of seven floors. What is the probability that no two people exit at the same
elena-s [515]

Answer:

Approximately 0.15 (360 / 2401.) (Assume that the choices of the 5 passengers are independent. Also assume that the probability that a passenger chooses a particular floor is the same for all 7 floors.)

Step-by-step explanation:

If there is no requirement that no two passengers exit at the same floor, each of these 5 passenger could choose from any one of the 7 floors. There would be a total of 7 \times 7 \times 7 \times 7 \times 7 = 7^{5} unique ways for these 5\! passengers to exit the elevator.

Assume that no two passengers are allowed to exit at the same floor.

The first passenger could choose from any of the 7 floors.

However, the second passenger would not be able to choose the same floor as the first passenger. Thus, the second passenger would have to choose from only (7 - 1) = 6 floors.

Likewise, the third passenger would have to choose from only (7 - 2) = 5 floors.

Thus, under the requirement that no two passenger could exit at the same floor, there would be only (7 \times 6 \times 5 \times 4 \times 3) unique ways for these two passengers to exit the elevator.

By the assumption that the choices of the passengers are independent and uniform across the 7 floors. Each of these 7^{5} combinations would be equally likely.

Thus, the probability that the chosen combination satisfies the requirements (no two passengers exit at the same floor) would be:

\begin{aligned}\frac{(7 \times 6 \times 5 \times 4 \times 3)}{7^{5}} \approx 0.15\end{aligned}.

5 0
2 years ago
An airplane is 1440 above a buoy in the ocean. The buoy is 15 miles away from the mainland What is the diagonal distance in mite
Crazy boy [7]

Answer:

1440.08 mi

Step-by-step explanation:

Pythagorean Theorem:

\sqrt{1440^{2}+15^{2}  } = 1440.08

6 0
2 years ago
Using pascal triangle; expand the following: i. (a+b)4 ii. (x–1 )3 iii. (a–b)6
Murrr4er [49]

Answer:

Every number of years 365 and I have been trying to

6 0
3 years ago
Function Operations Picture attached
sergeinik [125]

Answer: Second option

Step-by-step explanation:

You need to make the multiplication of the function c(x)=\frac{5}{x-2} and the function d(x)=x+3. Then:

(cd)(x)=(\frac{5}{x-2})(x+3)

You need to apply the Distributive property:

(cd)(x)=\frac{5(x+3)}{x-2}\\\\(cd)(x)=\frac{5x+15}{x-2}

Therefore, the domain will be all the number that make the denominator equal to zero.

Then, make the denominator equal to zero and solve for x:

x-2=0\\x=2

Therefore, the domain is: All real values of x except x=2

6 0
3 years ago
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