Answer:
A. 336
B. Arranging 3 people in 8 chairs.
C. 42
B. Arranging 2 people in 7 chairs.
Step-by-step explanation:
A.

Formula for Permutation is given as:

Putting the value of
= 8 and
, we get:

B. Real world situation for part A:
Arranging 3 people on 8 chairs.
First person has 8 options.
Second person has 7 options.
Third person has 6 options.
C.

Formula for Permutation is given as:

Putting the value of
= 7 and
= 2 , we get:

D. Real world situation for part AC:
Arranging 2 people on 7 chairs.
First person has 7 options.
Second person has 6 options.
Answer:
No
Step-by-step explanation:
According to the Inequality Theorem, the sum of 2 side of a triangle must always be longer than the third one. 4 + 6 = 10 which is not larger than 11.
Answer:
The area of the rectangular deck is 36 sq feet.
Step-by-step explanation:
Let the width of the deck = k ft
So, the length of the deck = (4k) ft
Now, perimeter = 30 ft
PERIMETER OF A RECTANGLE = 2(LENGTH + WIDTH)
⇒2( k + 4k) = 30
or, 2 x 5k = 30 ⇒ 10k = 30
⇒ k = 30/10 = 3
So, the width of the deck = k = 3 ft
Length of the deck = 4k = 3 x 4 = 12 ft
Now, AREA OF A RECTANGLE = LENGTH X WIDTH
So, the area of the rectangular deck = 3 ft x 12 ft
= 36 sq feet
Hence, the area of the rectangular deck is 36 sq feet.
Answer:
The length of the hypotenuse is 
Step-by-step explanation:
we know that
In a right triangle
Applying the Pythagoras Theorem

where
c is the hypotenuse
a,b are the legs of the right triangle
substitute the values




Simplify
