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anyanavicka [17]
3 years ago
6

what is the probability of drawing two blue cards if the first card is not included in the second draw? simplify your answer com

pletely

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

5/14

Step-by-step explanation:

The total number of cards is 8

There are 5 blue cards

P(1st card is blue) = blue/total = 5/8

We take away a blue card

The total number of cards is 7

There are 4 blue cards

P(2nd card is blue) = blue/total = 4/7

The probability of blue blue is P(blue blue ) =

P(1st card is blue)*P(2nd card is blue) =

5/8* 4/7

20/56

We can divide the top and bottom by 4

5/14

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An isosceles triangle has angle measures 50°, 50°, and 80°. The side across from the 80° angle is 10 inches long. How long are t
djverab [1.8K]

Answer: The value of other side is 7.8 inch.

Explanation:

It is given that the isosceles triangle has angle measures 50°, 50°, and 80°. The side across from the 80° angle is 10 inches long.

Let the given length of other equal sides be x.

The side across from the 50° angle is x inches long.

Law of sine,

\frac{a}{\sin A}= \frac{b}{\sin B} =\frac{c}{\sin C}

\frac{x}{\sin (50)}= \frac{10}{\sin (80)}

\frac{x}{0.766} =\frac{10}{0.9848}

x =\frac{10}{0.9848}\times (0.766)

x =7.778229 \approx 7.8

Therefore, the value of other side is 7.8 inch.

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3 years ago
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The volume of a cone-shaped hole is 1471 ft. If the hole is 9 ft deep, what is the radius of the hole
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The volume πr^2*height/3=1471

π*r^2=1471/9*3

π*r^2=490.33(I'm rounding all my numbers to the hundredths digit)

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r= sqrt 156.16=about 12.5

Again this answer is not precise but I rounded everything to the hundredths digit because pi is never ending. I hope it helped!

6 0
3 years ago
Given that r||s and q is a transversal, we know that by the [________]. corresponding angles theorem alternate interior angles t
neonofarm [45]

Answer:

alternate interior angles theorem

Step-by-step explanation:

The alternate interior angles theorem states that when two parallel lines are cut by a transversal, the resulting angles produced are a pair of congruent alternate interior angles.

Given the image attached below, both line k and line l are parallel to each other and also, line t is the transversal, therefore the resulting congruent alternate interior angles produced are:

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igomit [66]
Domain : everything
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Solve using substitution.<br><br> x = –2<br> 5x + 3y = 14
Nookie1986 [14]

Answer:  (-2, 8)

Explanation:

Plug x = -2 into the second equation. Isolate y.

5x+3y = 14

5(-2)+3y = 14

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y = 24/3

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We have x = -2 lead to y = 8.

Therefore, the ordered pair (x,y) = (-2,8) is the solution to this system.

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