1/4a + 1/3a +8 =22
1st step add like terms:
1/4a +1/3a = 3/12a +4/12a = 7/12a
7/12a +8 =22
2nd step subtract 8 from each side:
7/12a = 14
3rd step divide both sides by 7/12 to get a:
a = 14 / 7/12
a = 24
Answer:
3i-1
Step-by-step explanation:
2+3i-3
3i-1
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The geometric term(s) modeled by each object are Hexagon, point, line, line, and plane, respectively.
<h3>What is a line?</h3>
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is also a line but the line with finite length and having fixed endpoints.
The geometric term(s) modeled by each object
9. Stop sign ⇒ Hexagon
10. Tip of pin ⇒ Point
11. Strings of a violin ⇒ Line
12. A car antenna ⇒ Line
13. A library card ⇒ Plane
Hence, The geometric term(s) modeled by each object are Hexagon, point, line, line, and plane, respectively.
Learn more about Line here:
brainly.com/question/21511618
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Answer:
5 and a half
Step-by-step explanation:
Because you can fit 2 liters in each can, to find how many you would need, divide 11 by 2, this would give you 5 and a half, 5.5.
It could be that they want you to round up to six or round down to five, so do consider that.
Answer:
a. 5177 cm³
b. 3,451 cm³
c. 67%
Step-by-step explanation:
Given:
Diameter of each ball (d) = 13 cm
Radius of the ball (r) = radius of the cylinder = ½(13) = 6.5 cm
Height of the cylinder (h) = the sum of the diameters of the 3 balls = 3(13) = 39 cm
a. Volume of cylinder = πr²h
Plug in the values
Volume of cylinder = π*6.5²*39 = 5176.56 ≈ 5177 cm³
b. Total volume of the three balls = 3(volume of 1 ball) = 3(volume of sphere) = 3(⁴/3πr³)
Plug in the value
Total volume of the 3 balls = 3(⁴/3*π*6.5³) = 3(1150.35) = 3,451.05 ≈ 3,451 cm³
c. % of volume of the container occupied by the 3 balls = total volume of the three balls / volume of cylinder × 100
Plug in the values
= 3,451/5177 × 100
= 66.6602279
≈ 67%
