Answer:
40 mm
Step-by-step explanation:
The rectangular prism of a rectangular box. The volume is given by the formula:
<u>Volume of Rectangular Prism</u> = length * width * height
Given Volume = 3200
Length = 10
Width = 8
We need to find height. So we plug in the given information and find the height, in mm. Shown below:
Volume = Length * Width * Height
3200 = 10 * 8 * Height
3200 = 80 * Height
Height = 3200/80
Height = 40 mm
The height (h) = 40 mm
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Step-by-step explanation:
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STEP 1:
convert meters to centimeters
100 cm= 1 meter
= 100 cm/m * 2.5 m
= 250 cm
STEP 2:
x= length of first shelf
2x+18= length of second shelf
x-12= length of third shelf
x+4= length of fourth shelf
since the whole board has to be used, add lengths of all shelves and set it equal to the whole length of the board (250 cm).
x + (2x+18) + (x-12) + (x+4)= 250 cm
combine like terms
5x + 10= 250
subtract both sides by 10
5x= 240
divide both sides by 5
x= 48
STEP 3:
find length of second shelf
= 2x + 18
= 2(48) + 18
= 114 cm
CHECK:
x + (2x+18) + (x-12) + (x+4)= 250
48 + (2(48)+18) + (48-12) + (48+4)= 250
48 + (96+18) + 36 + 52= 250
48 + 114 + 36 + 52= 250
250= 250
ANSWER: Shelf two is 114 cm.
Hope this helps! :)
Hi there!

Use the following equation to solve:

Solve for the y-values of the equation at the given x values:
f(1) = 1² - 4(1) + 10 = 7
f(5) = 5² - 4(5) + 10 = 15
Plug the solved values into the equation:

Simplify:
