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: The correct point is (1, 0)
In polar coordinates, the first number is the distance from the origin in any direction. The second number is an angle measurement that tells us the direction to go from the origin.
Therefore, we have to move -1 one unit (or backwards) from the origin. Now, all we need to know is the direction to move.
The second number is 180, so we make an angle of 180 degrees and move in that direction.
But where do we start?
We always start from the origin straight right along the x-axis. That is degrees 0. So a 180 degree angle would move us left along the x-axis. But remember, we are moving back 1 space, so we will end up at (1, 0).
Writing the two equations in full and subtracting R(x) from W(x) to arrive at D (x) gives the answer. This is shown below;
W(x) = 0.002x^3 - 0.01x^2 + 0x + 0
R (x) = 0x^3 + x^2 - 4x +13 -
-----------------------------------------------
D(x) = 0.002x^3 -1.01x^2 + 4x - 13
No they are part fundamental mathematics
Answer:
perimeter = 28.68 cm
area = 15.48 cm^2
Step-by-step explanation:
1. complete the angles in the triangle. sum of all the angles in a triangle is 180 degrees.
therefore 180 - (60 +45) = 75
angle at B is 75 degrees
2. find the sides of the triangle using the sine formula for triangle
sin A/a = sin B/b = sin C/c
we have the angle at C and the side opposite C is also give, we can use that with any other
3. sin A/a = sin C/c
sin 60/a = sin 45/8
make a subject
a = 9.78 cm
4. sin A/a = sin B/b
sin 60/9.78 = sin 75/b
make b subject
b = 10.90 cm
with the three sides, we know that perimeter is the length around an object
adding all the lengths together will give the perimeter
perimeter = 10.90 + 8 + 9.78
= 28.68 cm
5. to find the area we need to find the high of the triangle since the expression for the area of a triangle is 
6. bisecting the side BC will give have as 4.89 cm
7. using Pythagoras theorem we can find the height of the traingle
c^2 = a^2 + b^2
8^2=(4.89)^2 + b^2
64 - 23.9121 = b^2
b= 
b =6.33 cm
insert this into the formula above will give the value for area
which is 15.48 cm^2
area = 1/2 (4.89)(6.33)
