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Readme [11.4K]
3 years ago
13

Which of the following can be used to solve for X

Mathematics
1 answer:
garri49 [273]3 years ago
5 0

Step-by-step explanation:

Sine

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DJ Davon is making a playlist for work; he is trying to decide what 12 songs to play and in what order they should be played. If
Marta_Voda [28]

Answer:

3.63 * 10^19

Step-by-step explanation:

Given that :

Number of choices to select = 12

Category available :

Blues - 14

Country - 25

Disco - 21

To select an equal number of song for each category ; then 4 songs will be selected from each :

Using combination :

(14C4 * 25C4 * 21C4)

Since the order matters for the 12 selected songs ; it thus requires 12 permutation

Thus ;

(14C4 * 25C4 * 21C4) * 12!

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

Using calculator;

14C4 = 1001 ;

25C4 = 12650

21C4 = 5985

12! = 479001600

Hence,

(1001 * 12650 * 5985) * 479001600

= 36301596217286400000

=3.63 * 10^19

5 0
3 years ago
What is the volume of a cube if it is 25cm long 6cm wide and 4cm high
galina1969 [7]
If you multiply 25×6×4 you should get 600.


hope this helps!
3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP! NO JOKE OR SCAM ANSWERS!! FULL ANSWERS ONLY!!!
vladimir2022 [97]

Answer:

A) 991=43x+475

B) 12 hours

Step-by-step explanation:

7 0
3 years ago
Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle
dem82 [27]

Answer:

229.23 feet.

Step-by-step explanation:

The pictorial representation of the problem is attached herewith.

Our goal is to determine the height, h of the tree in the right triangle given.

In Triangle BOH

Tan 60^0=\dfrac{h}{x}\\h=xTan 60^0

Similarly, In Triangle BOL

Tan 50^0=\dfrac{h}{x+60}\\h=(x+60)Tan 50^0

Equating the Value of h

xTan 60^0=(x+60)Tan 50^0\\xTan 60^0=xTan 50^0+60Tan 50^0\\xTan 60^0-xTan 50^0=60Tan 50^0\\x(Tan 60^0-Tan 50^0)=60Tan 50^0\\x=\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0} ft

Since we have found the value of x, we can now determine the height, h of the tree.

h=\left(\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0}\right)\cdotTan 60^0\\h=229.23 feet

The height of the tree is 229.23 feet.

5 0
3 years ago
What is the Y intercept of the line described for the equation below?y=4x-9
Vladimir [108]

Answer: Assuming that it's already in the standard form - y=mx+b | Your Y-Intercept is going to be -9


Step-by-step explanation:

Using the equation y=mx+b, anything that is in place of the (b) is your Y-Intercept and your slope is (m)

8 0
3 years ago
Read 2 more answers
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