What is the volume for this prism?? Thank you :)

Mathematics

1 answer:

klemol [59]2 years ago

7 0

Answer:

Volume = Area by height. V = A X h.

Step-by-step explanation:

i hope it helps

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HELPPP!!!!! Plzzzz!!

Lina20 [59]

Given:

Cards labelled 1, 3, 5, 6, 8 and 9.

A card is drawn and not replaced. Then a second card is drawn at random.

To find:

The probability of drawing 2 even numbers.

Solution:

We have,

Even number cards = 6, 8

Odd numbers cards = 1, 3, 5, 9

Total cards = 1, 3, 5, 6, 8 and 9

Number of even cards = 2

Number of total cards = 6

So, the probability of getting an even card in first draw is:

$P_1=\dfrac{\text{Number of even cards}}{\text{Number of total cards}}$

$P_1=\dfrac{2}{6}$

$P_1=\dfrac{1}{3}$

Now,

Number of remaining even cards = 1

Number of remaining cards = 5

So, the probability of getting an even card in second draw is:

$P_2=\dfrac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}$

$P_2=\dfrac{1}{5}$

The probability of drawing 2 even numbers is:

$P=P_1\times P_2$

$P=\dfrac{1}{3}\times \dfrac{1}{5}$

$P=\dfrac{1}{15}$

Therefore, the probability of drawing 2 even numbers is $\dfrac{1}{15}$ . Hence, the correct option is (b).

5 0

2 years ago

three trigonometric functions for a given angle are shown below csc theta = 13/12, sec theta = -13/5, cot theta = -5/12 what are

goldenfox [79]

We have that
csc ∅=13/12
sec ∅=-13/5
cot ∅=-5/12

we know that
csc ∅=1/sin ∅
sin ∅=1/ csc ∅------> sin ∅=12/13

sec ∅=-13/5
sec ∅=1/cos ∅
cos ∅=1/sec ∅------> cos ∅=-5/13

sin ∅ is positive and cos ∅ is negative
so
∅ belong to the II quadrant

therefore
<span>the coordinates of point (x,y) on the terminal ray of angle theta are
</span>x=-5
y=12

the answer is
point (-5,12)

see the attached figure