We know that
• It takes 8 hours to travel a certain distance at 36 miles per hour.
,
• At 60 miles per hour, how long would it take?
We solve this problem using the rule of three, or proportions. The image below shows the given relations.
We form the proportion. We have to write down 60 as numerator because it has an inverse relationship, that is, the more speed the least time needed.
<h2>Therefore, it would take 4.8 hours to travel the same distance at 60 miles per hour.</h2>
Answer:
Reflexive (or Identity) Property of Equality a = a
Answer:
Volume of the frustum = 225.0952
Surface area = 274
Step-by-step explanation:
The volume can be calculated as the difference of the complete pyramid and the tip of the pyramid.
To find the height of the frustum, we can use pythagoras theorem in the following triangle:
first side: 9 - 5 = 4
second side h (height)
hypotenusa: slang = 6
6^2 = h^2 + 4^2
h^2 = 36 - 16 = 20
h = 4.4721
To find the height of the complete pyramid (H), we can use the following rule of three:
H / 9 = (H - 4.4721) / 5
5H = 9H - 40.2489
4H = 40.2489
H = 10.0622
Volume of complete pyramid:
V_complete = (1/3)*9^2*10.0622 = 271.6794
Volume of the tip:
V_tip = (1/3)*5^2*(10.0622 - 4.4721) = 46.5842
Volume of the frustum:
V_frustum = V_complete - V_tip = 225.0952
The surface area is the bigger base area + smaller base area + four side areas.
Bigger base area = 9^2 = 81
Smaller base area = 5^2 = 25
Side area = (9+5)*6/2 = 42
Total surface area: 81 + 25 + 4*42 = 274
<u>Solve for x:</u>
Add 4.3x on both sides so that the variable can be on one side.
9.6x - 15.4 = -4.3x + 26.3
+4.3x +4.3x
Add 15.4 on both sides so that the whole number stays on one side separate from the variable.
13.9x - 15.4 = 26.3
+15.4 +15.4
Divide both sides by 13.9.
13.9x = 41.7
------- -----
13.9 13.9
Now you get a solution of:
x = 3
<u>Check:</u>
9.6(3) - 15.4 = -4.3(3) + 26.3
28.8 - 15.4 = -12.9 + 26.3
13.4 = 13.4
