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3 years ago

Determine the volume of the prism please

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

4 0

Answer:

312 m^3

split into two different prisms, rectangular and right triangular.

rectangular prism: 4 * 5 * 12 = 240 m^3

triangular prism: 3 * 4 * 12 * 1/2 = 72 m^3

add the volumes to get 312

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9. Plot the points A (-2,3), B(2,-3), C(2,3) ,D(-2,3) join the points and find the distance between each point.

pav-90 [236]

Answer:

AB=7.21 unit

BC=6 unit

CD=7.21 unit

AD= 6 unit

AC=4 unit

BD=4 unit

Step-by-step explanation:

Coordinates of A =(-2,3)

Coordinates of B = (2,-3)

Coordinates of C = (2,3)

Coordinates of D =(-2,-3)

Distance formula : $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$A=(x_1,y_1)=(-2,3)\\B=(x_2,y_2)=(2,-3)\\AB = \sqrt{(2+2)^2+(-3-3)^2}$

AB=7.21 unit

$B=(x_1,y_1)=(2,-3)\\C=(x_2,y_2)=(2,3)\\BC=\sqrt{(2-2)^2+(3+3)^2}$

BC=6

$C=(x_1,y_1)=(2,3)\\D=(x_2,y_2)=(-2,-3)\\CD=\sqrt{(-2-2)^2+(-3-3)^2}$

CD=7.21

$A=(x_1,y_1)=(-2,3)\\D=(x_2,y_2)=(-2,-3)\\AD=\sqrt{(-2+2)^2+(-3-3)^2}$

AD=6

$A=(x_1,y_1)=(-2,3)\\C=(x_2,y_2)=(2,3)$

$AC=\sqrt{(2+2)^2+(3-3)^2}$

AC=4

$B=(x_1,y_1)=(2,-3)\\D=(x_2,y_2)=(-2,-3)$

BD= $\sqrt{(-2-2)^2+(-3+3)^2}$

BD=4

4 0

3 years ago

Helppp!!!!laura is playing a card game with her friend.she will draw two cards from those pictured.

puteri [66]

Answer:

30%

Step-by-step explanation:

In this case it would be the combination of 2 taken from 5.

That is, when n = 5 and r = 2

nCr = n! / r! * (n-r)!

replacing

5C2 = 5! / (2! * 3!)

5C2 = 10

Which means that the sample space is 10 possible combinations.

the probability that the card you draw is even is 3/5, since there are 3 even cards that exist and 5 is the total number of cards.

Now, so that both are for it would be the multiplication of the previous probability and 2/4 because an even card and a card in general have already been drawn:

(3/5) * (2/4) = 0.3

So the probability that both are even is 30%

5 0

4 years ago

Full word for ML for the abbreviated unit of measurement

trapecia [35]

ML stands for Milliliter

6 0

4 years ago

THE ANSWER I PUT IS JUST A GUESS, IF IT ISN'T THE ANSWER PLEASE TELL ME WHAT IT IS I BEG YOU

Anna [14]

Answer:

the first one

Step-by-step explanation:

can you help me with my question

6 0

3 years ago

Read 2 more answers

Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 8 to the number and multi

tia_tia [17]

Hello!

You can break this down

If she added 8 to the number

x + 8

Multiplied the sum by 2

2(x + 8)

it would equal 6

2(x + 8) = 6

The answer is B

Hope this helps!

3 0

4 years ago