The answer is: 5,614 square inches.
The explanation is shown below:
1. The gift on the bottom is a rectangular prism. To calculate its surface area, you must apply the following formula:
![SA=2[(l)(w)+(l)(h)+(h)(w)]](https://tex.z-dn.net/?f=SA%3D2%5B%28l%29%28w%29%2B%28l%29%28h%29%2B%28h%29%28w%29%5D)
Where
is the length (20 inches),
is the width (42 inches) and
is the heigth (16 inches).
2. Substitute values:
![SA1=2[(20in)(42in)+(20in)(16in)+(16in)(42in)]=3,664in^{2](https://tex.z-dn.net/?f=SA1%3D2%5B%2820in%29%2842in%29%2B%2820in%29%2816in%29%2B%2816in%29%2842in%29%5D%3D3%2C664in%5E%7B2)
3. The surface area of the other gifts can be calculated with the formula for calculate the surface area of a cube:

Where
is the side.
4. The surface area of the bigger cube is:

5. The surface area of the smaller cube is:

6. The total surface area (the combined surface area of the three gifts) is:

Answer: …
Step-by-step explanation: you need an image
b = number of tickets sold before
a = number of tickets sold after
cost of a ticket = number of tickets times cost per ticket
before cost = 39.95b
after cost = 54.95a
total cost = 925000
39.95b + 54.95a = 925000
total number tickets = 20000
b + a = 20000
we have
39.95b + 54.95a = 925000
b + a = 20000
multiply second equation by -39.95 and add to first equation
39.95b + 54.95a = 925000
-39.95b-39.95a = -799000 +
0b+15a = 126000
15a = 126000
divide bot sides by 15
a = 8400
sub back
b + a = 20000
b+8400 = 20000
minus 8400 both sides
b = 11600
11,600 tickets sold before
8400 tickets sold after
Answer:
37.6 units
Step-by-step explanation:
Perimeter = sum of all sides of the triangle
To find the sum, find the distance between each points.
✔️Distance between points (-7, 6) and (5, -4):




(nearest tenth)
✔️Distance between (-7, 6) and (-7, -4):
|6 -(-4)| = 10 units
✔️Distance between (-7, -4) and (5, -4)
|-7 - 5| = 12 units
✔️ Perimeter = 15.6 + 10 + 12 = 37.6 units
Setting AC = BD because the diagonals are congruent, then 3y/5 = 3y -4
y=5/3
So then AC = 1 = BD