Answer: 90%
Step-by-step explanation:
Step 1: You would get the greater value (50) and the lower value (26). You would subtract those numbers.
Step 2: You would get 24 when you subtract those numbers. Divide that number by 26.
Step 3: This is optional. You can simply those numbers to make it easier to divide.
Step 4: Divide
Step 5: You would get 0.9230769
Step 6: Move the decimal point 2 times to the right. So you would get 92%
Answer:
To get the Least Common Multiple (LCM) of 12 and 46 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:
12:
2
2
3
46:
2
23
LCM:
2
2
3
23
The Least Common Multiple (LCM) is: 2 x 2 x 3 x 23 = 276
Step-by-step explanation:
PART A
Volume = Area of a triangle base x height (..or length)
Volume = 2,400cm^3
Volume = 1/2(16)(h)(20)
2,400cm^3=1/2(16)(h)(20)
2/400cm^3/160 = 160(h)/160
Part A= 15cm^3=height of the box
PART B
Surface Area = 1/2(15*16)(2)+20(17)(2)+16(20)
Surface Area = 240+680+320
Surface Area = 1,240
Part B = You will need approximately 1,240cm of cardboard.
The problem is modelled in the diagram below
We will use the cosine rule to find x
x² = 60.5² + 195² - [2×60.5×195×cos(32°)]
x² = 3660.25 + 38025 - [23595 × cos(32)]
x² = 41685.25 - 19683.50019
x² = 22001.74981
x = √22001.74981
x = 148.33 feet (rounded to 2 decimal place)
Note: the cosine rule is shown in the second diagram below