Answer:
4.5 m
Step-by-step explanation:
Distance from center to the the bottom part where headroom begins is 3.9 m-2.6 m=1.3 m
Since the radius is 2.6 m and acts as hypotenuse(see attached image), then the other length will be
Approximately 2.25 m
The half width is 2.25 m hence full width will be 2.25*2=4.5 m
Answer:
- 20 + 8i
Step-by-step explanation:
Noting that i² = - 1
Given
[(6i + 9) + (4i - 5)] × 2i ← evaluate the terms inside the square bracket
= ( 6i + 9 + 4i - 5 ) × 2i
= (10i + 4) × 2i ← multiply each term in the parenthesis by 2i
= 20i² + 8i
= 20(- 1) + 8i
= - 20 + 8i
Answer:
0
Step-by-step explanation:
Combine like terms, perform the operations with the coefficients of the variable, then write the variable.
10r - 5r + 3r - 8r
= 5r + 3r - 8r
= 8r - 8r
= 0
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
