Answer:
a) P = 362880 ways
b) P = 2880 ways
Step-by-step explanation:
a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions
We have a permutation of 9 elements
P = 9!
P = 9*8*7*6*5*4*3*2*1
P = 362880 ways
b) Boys must seat together, we have two groups of people
4 boys they can seat in 4! different ways
P₁ = 4!
P₁ = 4*3*2*1
P₁ = 24
And girls can seat in 5! dfferent ways
P₂ = 5!
P₂ = 5*4*3*2*1
P₂ = 120
To get total ways in the above mentioned condition, we have to multiply P₁*P₂
P = 24*120
P = 2880 ways
Answer:
<h2>A = 82.5 in²</h2>
Step-by-step explanation:
The formula of an area of a trapezoid:
b₁, b₂ - bases
h - height
We have b₁ = 10in, b₂ = 5in and h = 11in. Substitute:
Answer:
<h2><u>[A] 0</u></h2>
Explanation:
- <u>Lines of symmetry; A line that cuts a shape exactly in half</u>
If you were to put a line of symmetry down and fold the shape in half on that line, both halves would match exactly.
- If you were to put a line of symmetry down on <u>this triangle</u> both sides <u>would not match</u>, therefore there are no lines of symmetry.
<h3><u>There are zero lines of symmetry, therefore your answer is [A] 0</u></h3>
Answer:
8 hours
Step-by-step explanation:
−0.75x + 18 = -x+20
0.25x = 2
x = 8
