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:
The answer is 729
Step-by-step explanation:
to get the next term, the sequence multiples the previous number by -3
1 * -3 = -3
-3 * -3 = 9
and so on.
To get the 7th term:
-27 * -3 = 81 (5th term)
81 * -3 = -243 (6th)
-243 * -3 = 729 (7th)
The direction given by Enzo's sister is an illustration of distance
Enzo's distance from the east of 1st avenue to the field is 6 miles
<h3>
How to describe the directions?</h3>
From the question, we have the following directions:
- Start at east of 1st avenue
- Drive 3 miles
- Make a 90 degrees right turn
- Drive 1 mile
- Turn at 90 degrees intersection
- Drive 2 miles
The above directions imply that the total distance from the east of 1st avenue to the field is:
Distance = 3 miles + 1 mile + 2 miles
Evaluate the sum
Distance = 6 miles
Hence, Enzo's distance from the east of 1st avenue to the field is 6 miles
Read more about distance at:
brainly.com/question/4931057
Answer:
4.12
Step-by-step explanation:
A^2+b^2=c^2 so 8^2+b^2=9^2 so 64+b^2=81 so b^2=17 so b=4.12
