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:
![SA=6s^{2}](https://tex.z-dn.net/?f=SA%3D6s%5E%7B2%7D)
Where
is the side.
4. The surface area of the bigger cube is:
![SA2=6(15in^{2})=1,350in^{2}](https://tex.z-dn.net/?f=SA2%3D6%2815in%5E%7B2%7D%29%3D1%2C350in%5E%7B2%7D)
5. The surface area of the smaller cube is:
![SA3=6(10in^{2})=600in^{2}](https://tex.z-dn.net/?f=SA3%3D6%2810in%5E%7B2%7D%29%3D600in%5E%7B2%7D)
6. The total surface area (the combined surface area of the three gifts) is:
![SAt=SA1+SA2+SA3\\SAt=3,664in^{2}+1,350in^{2}+600in^{2}\\SAt=5,614in^{2}](https://tex.z-dn.net/?f=SAt%3DSA1%2BSA2%2BSA3%5C%5CSAt%3D3%2C664in%5E%7B2%7D%2B1%2C350in%5E%7B2%7D%2B600in%5E%7B2%7D%5C%5CSAt%3D5%2C614in%5E%7B2%7D)
Zero
There is no solution for these equations as there is no even one point of intersection between them
Answer: B
Step-by-step explanation:
You have the same bases, so you can just focus on the exponents.
The difference between 5 and -1 is 6, therefore, the answer is B.
The angles inside a triangle always add up to 180 degrees.
The whole thing is one big triangle made of two smaller ones.
28 + 58 + 77 + x = 180
163 + x = 180
x = 180 - 163
x = 17
Answer:
Cube root of 1446
Step-by-step explanation:
The formula for the volume of a sphere is
. Therefore, if we divide 1928pi by 4/3pi and then take the cube root, you will find the radius. In this case, 1928pi/(4pi/3)=1446, meaning that the radius is the cube root of 1446. Hope this helps!