Answer:
100 meters
Step-by-step explanation:
Given the following :
Alex house = F
Alex school = H
Alex bus stop = G
FG = 2x meters
GH = 1000meters
FH = 1200 meters
Hence,
FH = FG + GH
1200 = (2x + 1000) meters
1200 = 2x + 1000
1200 - 1000 = 2x
200 = 2x
x = 100meters
Hence, x = 100 meters
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Find Volume of 1 tennis ball:
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Volume of 1 tennis ball = 4/3 x 3.14 x (2.5 ÷ 2)³
Volume of 1 tennis ball = 8.18 in³
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Find Volume of 3 tennis balls:
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Volume of 3 tennis balls = 8.18 x 3 = 24.54 in³
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Find Volume of teh cylindrical canister:
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Volume of the cylindrical canister = 3.14 x 1.5² x (2.5 x 3)
Volume of the cylindrical canister = 52.99 in³
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Find unoccupied space:
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Unoccupied space = 52.99 - 24.54
Unoccupied space = 28.45 in³
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Answer: 28.45 in³
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Answer:
Shortest side = 39 cm.
Median side = 65 cm.
Longest side = 91 cm.
Step-by-step explanation:
The perimeter in total is 195 cm. The ratio of the sides are 3 : 5 : 7.
First, find how much parts there are as a whole, by combining the ratios:
3 + 5 + 7 = 15 parts.
Divide the total of parts from the total measurement:
195/15 = 13
Each part has the measurement of 13 cm.
1 part = 13 cm.
Use the following ratio to solve for each of the sides:
Shortest side: 3
3 x 13 = 39
Shortest side = 39 cm.
Median side: 5
5 x 13 = 65
Median side = 65 cm.
Longest side: 7
7 x 13 = 91
Longest side = 91 cm.
Check. Combine all side measurements together. They should equal 195:
39 + 65 + 91 = 195
(39 + 65) + 91 = 195
(104) + 91 = 195
195 = 195 (True).
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Her next step is to repeat the last process of drawing those two arcs. However, they will be mirrored since she swapped endpoints.
Check out the diagram below. Figure 1 is what she already has. Figure 2 is what happens after completing the next step. The red and blue arcs intersect to help form the endpoints of the perpendicular bisector. I used GeoGebra to make the diagrams.
To solve this do:
838.35/9315= 0.09.
This means the company charged $.09 for every kilowatt of electricity used.