Answer:
1/36 = 0.02777...
Step-by-step explanation:
Given the sequence 1, 0.25, 0.111..., 0.0625, 0.04, you would like to know the next term.
<h3>Terms</h3>
We recognize the decimal values to be equivalent to ...
1, 1/4, 1/9, 1/16, 1/25
That is, they are the reciprocals of successive squares.
<h3>Next term</h3>
The next term will be the reciprocal of the 6th square:
1/36 = 0.02777...
Answer:
Question 1 = c) Medium: 88 ft²
Question 2 = d) 46.7 ft³
Step-by-step explanation:
Question 1
We would be solving this question by finding the surface area of the tent. The shape of the tent is a square based pyramid.
The surface area of a square based pyramid(tent) =
a² + 2ah
Where in the diagram,
a = base length = 4 ft
h = height of the pyramid (tent ) = 9ft
Surface area = 4² + 2 × 4 × 9
= 16 + 72
= 88ft²
Therefore, the size tarp should she purchase is Medium: 88 ft²
Question 2
For question 2, from the attached diagram, we can see that the diagram is a square based pyramid.
To calculate the amount of water that would fill the square based pyramid, we would have to find the Volume of the tent(square based pyramid).
The formula for the Volume of the tent(square based pyramid) = 1/3(a²h)
Where a = base edge
h = height of the pyramid.
From the diagram,
a = base edge => 4ft.
From the question,
h = height of the tent is given as how tall the tent is = 8.75ft.
Therefore, 1/3(a²h)
1/3 × (4ft)²× 8.75ft
= 46.67ft³
Approximately = 46.7ft³
Therefore, the amount of water it would it take to fill the tent, if the tent is 8.75 ft tall is 46.7ft³
6787.100 would be your answer.
Answer:
80%
Step-by-step explanation:
Given:
Team D used a recipe that consists of 20 cups of sand, 2 cups of flour, and 3 cups of water.
Question asked:
How does the percent of sand in Team D's recipe compare to that of the other teams ?
Solution:
Team D used a recipe that consists of sand = 20 cups
Team D used a recipe that consists of flour = 2 cups
Team D used a recipe that consists of water = 3 cups
Total number of cups together = 20 + 2+ 3 =25 cups
Now we will have to find percent of cups of sand out of the total number of cups.
By using formula of percentage,
Percent = ![\frac{Value}{Total \ value}\times100](https://tex.z-dn.net/?f=%5Cfrac%7BValue%7D%7BTotal%20%5C%20value%7D%5Ctimes100)
![=\frac{20}{25} \times100\\=\frac{2000}{25} =80\%](https://tex.z-dn.net/?f=%3D%5Cfrac%7B20%7D%7B25%7D%20%5Ctimes100%5C%5C%3D%5Cfrac%7B2000%7D%7B25%7D%20%3D80%5C%25)
Therefore, 80% of sand in Team D's recipe compare to that of the other teams.