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
Answer:
<u>x = 1.07</u>
Step-by-step explanation:
13 ( 6x - 9) = -33
78x - 117 = -33 ( opening brackets and multiplying )
78x = 84 ( - 117 taken to the other side makes it positive)
x = 84 / 78
x = <u>1.07</u>
I don't know if you can find a rate with 2 numbers. You can find a rate with 2 sets of numbers. If you only have 2 numbers you cannot do much.
however if the problem says something like x changed from 45 to 65 over some x values that are not given you can find the rate. this is because you are actually given 2 sets of numbers. It it doesn't have to be x and y. It could say it another way. let's say it says you get on the freeway at 45 mph and when you see yout exit sign you are traveling 65 mph. What is your rate of change. this can actually be written in (x,y) form. in both of these examples you can say (x1, 45) and (x2, 65).
well the rate of change would just be the difference in y values per the difference in x values. If you think about it, this is just the slope of the line it creates. (y2 - y1) / (x2 - x1).
or:
(64 - 45) / (x2 - x1).
20 / (x2 - x1).
this can be worded as we had a rate of change of 20 per (x2 - x1) time period.
or you could say out rate of change was just 20 if of the time period is already understood.
i hope this helps. I am not sure if it was what you were asking
