Answer:
The largest number of pyramids she can make from 20 bars of chocolate is:
Step-by-step explanation:
Firstly, you must find the volume of the 20 bars of chocolate, remember that each bar contains 6 cubic inches of chocolate (6 in^3), so:
- Volume of the bars = 6 in^3 * 20
- <u>Volume of the bars = 120 in^3</u>
Now, you must find the volume of each pyramid, using the next formula:
- Volume of a pyramid = 1/3 B * h
Where:
<em>B = area of the square base.</em>
<em>h = height of the pyramid.</em>
How these values are given in the problem, we only replace the values in the formula:
- Area of a pyramid = 1/3 (1 in^2) * 2 in
- <u>Area of a pyramid = 2/3 in^3</u>
Finally, we divide the volume of the bars in the volume of each pyramid:
- Total number of pyramids = 120 in^3 / 2/3 in^3
- <u>Total number of pyramids = 180</u>
Answer: 1440
Explanation: when you split it into two shapes (I split it where the split is splitting the eight up) you find the volume of them both. Top shape= 4x4x10=80 bottom shape= 8x8x10=640.
640+80= 720
You will then need to multiply by two (or add 720+720) to get the answer 1440
Answer:
The staircase would extends 1.20 m if the changes were made.
Step-by-step explanation:
Acording tho the statement the total heigth is 5.04 m, that is 504 cm, each steps rises 21 cm. with this information we can calculte how many steps are in the whole staircase:
To calculate how much the staircase will extend, whe have to multiply the horizontal depth times the number of steps.
using the run of 24 cm that gives us a lengt of 576 cm and if the changes were made the new length will be 696 cm.
So the staircase would extend an amount of (696 - 576), that is 120 cm, or 1.20 m, if the changes were made.
~Hello There!~
12/2 = 6
24/4 = 6
36/6 = 6
etc.
As you can see, y is always 6 times the value of x.
Therefore, the equation would be y = 6x
Hope This Helps You!
Good Luck :)
Have A Great Day ^_^
- Hannah ❤
Answer:
"number line with open circles on negative 9 and 5, shading going in the opposite directions."
Step-by-step explanation:
Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.
|u|>14 means that the number u has to be greater than 14 or less than -14. These numbers I describe just now all have a distance greater than 14 from 0.
So |u|>14 implies u>14 or u<-14.
But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.
2x+4>14
Subtract 4 on both sides:
2x >10
Divide both sides by 2:
x >5
2x+4<-14
Subtract 4 on both sides:
2x <-18
Divide both sides by 2:
x <-9
So our solution is x>5 or x<-9.
Graphing!
~~~~~~~O O~~~~~~~~
-----------(-9)---------------------------------(5)---------------
So we shaded to the right of 5 because our inequality says x is bigger than 5.
We shaded to the left of -9 because our inequality says x is less than -9.
