Answer:
15,872 mm³
Step-by-step explanation:
given:
A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.
Find:
the exact volume of the solid
solution:
volume of square base pyramid = (base area)² * h/3
where total h = 12 cm
height of top pyramid (ht)= 6 cm
height of bottom pyramid (hb) = 6 cm
bottom volume = total volume - the volume on top
so,
total volume = 1/3 (base area)² h
= 1/3 (8*8)² * 12
= 16,384 mm³
volume on top = 1/3 (top base area)² h
= 1/3 (4*4)² * 6
= 512 mm³
finally: get the bottom volume:
bottom volume = total volume - the volume on top
bot. vol = 16,384 mm³ - 512 mm³
= 15,872 mm³
therefore,
the volume of the cut pyramid base = 15,872 mm³
Answer:
26
Step-by-step explanation:
[(7+3)5-4]/2+3
-To solve this equation you have to use PEMDAS
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction-
- With MD and AS you work left to right of the equation since they are in the same spot. (PE[MD][AS])
Step 1) [(10)5-4]/2+3
- First you do "P," parentheses, so you add 7+3=10
Step 2) [50-4]/2+3
- Next you do "M," multiplication, and multiply 10x5=50
Step 3) [46]/2+3
- Then you do "S," subtraction, and subtract 50-4=46
(FYI: Steps 1-3 were still in the parentheses. We had to start with the parentheses in the parentheses, work PEMDAS, and now we are out of the parentheses and have to work PEMDAS on the rest of the problem.)
Step 4) 23+3
- Now we do "D," division, and divide 46/2=23
Step 5) 23+3=6
- Finally we do "A," addition, and add 23+3=26 so the answer is 26
(FYI: "/" means division)
Answer:
Answers is C (x)=3.50 {x+3600/x} -_-
Step-by-step explanation:
Answer:
(x) = 
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 5x + 4 ( subtract 4 from both sides )
y - 4 = 5x ( divide both sides by 5 )
= x
change x to (x) and y back to x, thus
(x) =
Answer:
The correct answer is the associative property of addition.
Step-by-step explanation:
This property states that no matter which way we group things when adding, they will still create the same outcome. Since all of the symbols are addition, the answer is the same.
