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leva [86]
3 years ago
11

In how many ways can six people sit in a six-passenger car?

Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0

Answer:

number of ways = 720

Step-by-step explanation:

The number of ways  six people sit in a six-passenger car is given by the number of permutations of 6 elements in 6 different positions ( seats), then

number of ways = number of permutations of 6 elements = 6! = 6 * 5 * 4 *3 * 2 * 1 = 720

Since the first person that sits can be on any of the seats , but then the second person that sits can choose any of 5 seats (since the first person had already occupied one) , the third can choose 4 ... and so on.

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Find the surface area.
Triss [41]

Answer:

196 ft^{2}

Step-by-step explanation:

Surface are of 2 rectangles = 2(2*4) = 16 ft^{2}

surface are of the base rectangle = 4*3 = 12 ft^{2}

Area of tow triangles =2( \frac{1}{2} * 2* 2)= 4ft^{2}

total = 16+12+4

= 196 ft^{2}

3 0
3 years ago
Ana angle measure 79.8 degrees less than the measure of it’s complementary angle what is the measure of each angle
RUDIKE [14]

Answer:

x = 129.8 degrees,  y = 50.2 degrees,    x + y = 180

Step-by-step explanation:

Let's say you have 2 supplementary angles, x and y

So x + y = 180

if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8

Putting this into our x + y = 180 equation, we get

(y - 79.8) + y = 180

2y - 79.8 = 180

2y = 180 + 79.8

2y = 259.8

y = 259.8/2 = 129.9 degrees.

so x = 129.9 - 79.6 = 50.3 degrees.

See if it worked. x = 129.9 degrees,  y = 50.3 degrees,    x + y = 180 so we found the correct two angles! :-)

8 0
2 years ago
What special word is used to describe a polygon which has equal angles
Ede4ka [16]
It would be called a regular polygon because all sides are equal
8 0
3 years ago
Read 2 more answers
Jacqueline’s purchase before sales tax totaled $32. The total including tax was $33.92. What was the sales tax rate?
Usimov [2.4K]
------------------------------------------------------------------
Find Sales Tax
------------------------------------------------------------------
$33.92 - $32 = $1.92

------------------------------------------------------------------
Find Sales Tax Rate 
------------------------------------------------------------------
\text {Sales Tax = }  \dfrac{1.92}{32} \times 100

\text {Sales Tax = } 6 \%
3 0
3 years ago
For which value of a will the equation 3(x-2)=a+3x have an infinite number of solution. A) 2 B) -6 C)6 D) -2
andrew11 [14]
I think is C or B
Because
3(x-2) = a+ 3x
3x 6 = a + 3x
3x+3x= 6
So
6=a + 6x
4 0
3 years ago
Read 2 more answers
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