Answer:
y= 288x + 7.99
Step-by-step explanation:
# of tickets : x
y = 289x + 7.99
⬇️ _________ put in y = mx + b
y = 289(6) + 7.99
⬇️ _________ plug in
y = 1734 + 7.99
⬇️ _________ Add
y = 1741.99
HOPE THIS HELPS! (:
The answer is going to be6/8
The surface area of a cone is equal to the base plus the lateral area.
The base is a circle, and has a diameter of 16 meters.
The radius is always half the diameter, so it is 8 meters.
The area of a circle = πr², where r is the radius. π(8)² = 64π ≈ 201.06193
The area of the base is ≈ 201.06193.
To find the lateral area of the cone, we need to find the slant height.
Since the height, radius, and slant height of the cone form a right triangle, we can use the Pythagorean Theorem to find the slant height with what we are given.
radius² + height² = slant height²
8² + 37² = slant height²
64 + 1369 = slant height²
1433 = slant height²
slant height = √1433
The lateral area of a cone is equal to πrl, where r = radius and l = slant height.
πrl = π(8)(√1433) ≈ 951.39958
(there are other formulas which do the same thing, but it doesn't matter.)
Now we add the lateral area and base together to find our surface area.
201.06193 + 951.39958 = 1152.46151 which rounds to C. 1,152 m².
Answer:
C. -7x^2 - 28
Step-by-step explanation:
Firstly simplify the bracket before doing anything;
4x(3x - 7) = 12x^2 - 28x
then go back to the question and substitute the expression(12x^2 - 28x) on the bracket and then work out the question;
12x^2 - 28x -19x^2...then group the values with the same exponent of x,
(12x^2 - 19x^2) - 28x
; -7x^2 - 28x
The base length of the triangle is 10 ft. and the height of the triangle is 20ft.
Step-by-step explanation:
Height = base + 10
Area = 100 square ft
Area of a triangle= (1/2) (b) (h)
100 = (1/2) (b) (b + 10)
200 = b(b) + 10b
b(b) + 10b - 200 = 0
b(b) + 20b - 10b - 200 = 0
b ( b + 20) -10(b + 20) = 0
(b-10) (b+20) =0
b = 10 (or) b = -20
Here b is the length and cannot be negative.
So, b = 10ft
h = b + 10
h = 10 + 10
h = 20 ft.
The base length of the triangle is 10 ft. and the height of the triangle is 20ft.
