Answer:
120 is the volume of the box.
Step-by-step explanation:
Volume=length x width x height. So in this case, you would have to multiply the three number together.
![5 \times 4 \times 6 = 120](https://tex.z-dn.net/?f=5%20%5Ctimes%204%20%5Ctimes%206%20%3D%20120)
In order to find the area of this figure, you will need to separate the individual figures and find their areas, then add the total for the entire area.
The square part should be easy, it's only base * height. In this case, the base is 6 and the height is 5. You don't want the answer so that's the farthest I'll go with that =)
Then, there are the triangles.
Right triangles are easy to find area of in that they are simply a rectangle split diagonally, so the area of a triangle is simply base * height over 2, and since the triangles are the same measure, the base would be half the base of the square, which is 3. The height is 2.
Don't forget that there are two triangles, though, so a shortcut in this problem would be to solve one triangle for base * height and then leave off the divide by two step, since there are two triangles that have the same area, and so you would end up just multiplying by 2 in the end, thereby cancelling out the divide by 2 step entirely.
Hope that helped! =)
Answer:
Step-by-step explanation:
Answer: ![\dfrac{23}{35}](https://tex.z-dn.net/?f=%5Cdfrac%7B23%7D%7B35%7D)
Step-by-step explanation:
Given : A certain stretch of West Street, I claim that most cars are going more than 5 miles per hour (mph) over the speed limit.
The speed limit is posted at 25 mph.
In a random sample of 70 cars, 46 of them were traveling faster than 30 mph (25+5).
Number of cars going more than 5 mph over the speed limit=46
Then, the sample proportion of cars going more than 5 mph over the speed limit will be :_
![\dfrac{\text{Number of cars going more than 5 mph over the speed limit}}{\text{Sample size}}\\\\=\dfrac{46}{70}=\dfrac{23}{35}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BNumber%20of%20cars%20going%20more%20than%205%20mph%20over%20the%20speed%20limit%7D%7D%7B%5Ctext%7BSample%20size%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B46%7D%7B70%7D%3D%5Cdfrac%7B23%7D%7B35%7D)
Hence, the sample proportion of cars going more than 5 mph over the speed limit = ![\dfrac{23}{35}](https://tex.z-dn.net/?f=%5Cdfrac%7B23%7D%7B35%7D)
In 2010, a city's population was 1,405,233 and it was decreasing at a rate of 1.1%. At this rate when will the city's population fall below 1,200,000?
c. 2036