Answer:30
Step-by-step explanation:
Find the prime factorization of 6
6 = 2 × 3
Find the prime factorization of 10
10 = 2 × 5
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2 × 3 × 5
LCM = 30
There’s more corners and sides to a rectangular prism than a cube
Answer:
51 cubic feet
Step-by-step explanation:
This is basically a rectangular prism + pyramid.
Volume of rectangular prism = length * width * height
Volume of square pyramid = 1/3 * area of base * height
The rectangular prism's dimensions are 3 x 3 x 5 , so volume = 3*3*5 = 45
The pyramid's base is a square with side 3, so area of base = 3 * 3 = 9
The height is 2, we find the volume using the formula stated above as:
1/3 * 9 * 2 = 6
Volume of Playhouse = volume of rectangular prism + volume of pyramid
Volume of Playhouse = 45 + 6 = 51 cubic feet
To solve this problem we can use the rule of 3 and solve for x. Let's equate it as the following:
28.52/x=36.8/100
Why did I represent it like that?
In the first numerator we have the known quantity (28.52). In the second numerator we'll need the percentage that 28.52 represents (because the second fraction will represent percents). This will be 36.8%
The first denominator is x (the number we want to figure out). That number represents 100%. Hence the 100 as the second denominator.
To solve for x we need to do the following:
x=(28.52*100)/ 36.8
x=2852/36.8
x=77.5
Answer: 28.52 is 36.8% of 77.5
Answer:
-2h -16k
Step-by-step explanation:
-2(h+8k)
Distribute
-2h -2 *8k
-2h -16k
They failed to distribute the minus sign as well as the 2
