Tina has 4 black marbles, 6 red marbles, 3 blue marbles, 7 green marbles, and 5 yellow marbles. She places all of the marbles in
2 answers:
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Answer:
i) 1350 m
ii) 5400 m
Step-by-step explanation:
<u>Formula for Speed</u>
Rearrange the formula so that Distance is the subject:
Given:
- Speed = 45 m/s (meters per second)
- Time = 30 seconds
Substitute the given values into the formula for distance:
Given:
- Speed = 45 m/s (meters per second)
- Time = 2 minutes
As the time is given in a different unit of time as the speed, we must first convert the time into seconds:
1 minute = 60 seconds
⇒ 2 minutes = 60 × 2 = 120 seconds
Therefore:
- Speed = 45 m/s (meters per second)
- Time = 120 seconds
Substitute the values into the formula for distance:
Answer:
The length of the line segment UV is 76 units
Step-by-step explanation:
In a triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length
In Δ ONT
∵ U is the mid-point of ON
∵ V is the mid-point of TN
→ That means UV is joining the mid-points of two sides
∴ UV // OT
∴ UV = OT
∵ UV = 7x - 8
∵ OT = 12x + 8
∴ 7x - 8 = (12x + 8)
→ Multiply the bracket by
∵ (12x + 8) =
(12x) +
(8) = 6x + 4
∴ 7x - 8 = 6x + 4
→ Add 8 to both sides
∴ 7x - 8 + 8 = 6x + 4 + 8
∴ 7x = 6x + 12
→ Subtract 6x from both sides
∴ 7x - 6x = 6x - 6x + 12
∴ x = 12
→ Substitute the value of x in the expression of UV to find it
∵ UV = 7(12) - 8 = 84 - 8
∴ UV = 76
∴ The length of the line segment UV is 76 units