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pochemuha
3 years ago
11

In the playing card deck below what is the chance of pulling 2 face cards without replacing the cards in between pulls? Answer i

n decimal form rounded to the 6th digit after the decimal ​

Mathematics
1 answer:
Annette [7]3 years ago
8 0

Answer:

.049774

12/52 x 11/51 = .04977376

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Please solve the following sum or difference identity.
xxTIMURxx [149]

Answer:

sin(A - B) = \frac{4}{5}

Step-by-step explanation:

Given:

sin(A) = \frac{24}{25}

sin(B) = -\frac{4}{5}

Need:

sin(A - B)

First, let's look at the identities:

sum: sin(A + B) = sinAcosB + cosAsinB

difference: sin(A - B) = sinAcosB - cosAsinB

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = \frac{24}{25}

cos(A) = \frac{7}{25}

sin(B) = -\frac{4}{5}

cos(B) = \frac{3}{5}

Plug these values into the difference identity formula.

sin(A - B) = sinAcosB - cosAsinB

sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})

Multiply.

sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})

Add.

sin(A - B) = \frac{4}{5}

This is your answer.

Hope this helps!

6 0
3 years ago
Read 2 more answers
What number is between 0-5
svet-max [94.6K]

Answer:

The numbers are 0 12345

Step-by-step explanation:

3 0
3 years ago
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Which expression is NOT equivalent to −3/8·(−4+1/2)?<br><br><br> Drag this expression to the box.
Aleks [24]

Answer:

The answer to your question is the first option

Step-by-step explanation:

Original expression

                                 -3/8 (-4 + 1/2)

First option    -3/8 (-4)  + (3/8)(1/2)       This option is not equivalent because

                                                              they forgot the negative sign of the

                                                              second term.

Second option (-3/8)(-4) + (-3/8)(1/2)    This option is equivalent to the

                                                               original. Distributive property

Third option    (-3/2)(-3 1/2)                 This option is equivalent to the original

Fourth option  (-3/8)(-3) + (-3/8)(-1/2)  This option is equivalent to the original

4 0
3 years ago
Identify the figure that illustrates "A reflection in line k."
dlinn [17]

The 1st figure is correct, the 4th one seems very similar to the 1st one. But the red shape is closer to line k. So the 1st one is correct

8 0
3 years ago
Read 2 more answers
An advertising blimp hovers over a stadium at an altitude of 125 m. The pilot sights a tennis court at and 8° angle of depressio
tatuchka [14]

Answer:

Hence the ground distance is about 889m between stadium and Tennis court.

Step-by-step explanation:

Given:

A pilot at height of 125 m(flying the advertising blimp)

angle of depression=8 degrees.

To find :

The ground distance  stadium and tennis court.

Solution :

Using Trigonometric Function we can solve it ,

(Refer the attachment for fig)

Considering above data we get a triangle(ABC)

with point A represent pilot position and C court position and B as stadium.

The height AB=125 m

angle of depression= 8 degrees.

Using

<em>tan∅ =AB/BC</em>

tan(8)=125/BC

BC=125/tan(8)

=125/0.14054

=889.2

=889 m

Hence the ground distance is about 889m between stadium and Tennis court.

6 0
3 years ago
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