Answer:
1/2
Step-by-step explanation:
cos(θ) = √(1 -sin(θ)²) = √(1 -3/4) = √(1/4)
cos(θ) = 1/2
Answer:
£3,780
Step-by-step explanation:
Total rows = 19 rows
Seats per row = 28 seats
Cost of tickets per seats = £8.75
Total number of seats at the concert = Total rows × seats per row
= 19 rows × 28 seats
= 532 seats
The tickets for 100 seats have not been sold
Total number of tickets = sold tickets + unsold tickets
532 = sold tickets + 100
532 - 100 = sold tickets
432 = sold tickets
Sold tickets = 432 tickets
Total cost estimate of sold tickets = sold tickets × cost of tickets per seats
= 432 × £8.75
= £3,780
Answer:
45x + 180 = - 720
Step-by-step explanation:
Let the required number be x.
Therefore, product of 45 and x = 45x
180 added to 45x = 45x + 180
Since, 180 Added to the product of 45 and a number totals negative 720.
So, 45x + 180 = - 720
Answer:
C. 55°
Step-by-step explanation:
The computation of mAC is shown below:
Given that
Diameter AB would be parallel to CD
McD = 70
Based on the attached diagram and the above information
mAC is
= (180 - 70) ÷ 2
= 55 degrees
hence, the correct option is third
Let's say:
lengh=x
width=y
"The length of a rectangle is 4 inches greater than the width."
That means: x=y+4 (in inches).
the parameter is (by definition) 2*lenght+2*width.
so we have 2*x+2y=24.
we also know that x=y+4
Substituting:
2*(y+4)+2y=24.
2*y+8+2y=24
4*y+8=24//substitute 8 from both sides
4*y=16//dividing both sides by 4.
y=4
So the width is 4!
The lenght is y+4=8!
the dimensions are 4 by 8.
(check: 2*4+2*8=24, correct!)
