Answer:
60°
Step-by-step explanation:
In an equilateral triangle, the angles are also all equal. Since the sum of angles of a triangle is 180°, each of the angles is ...
(1/3)×180° = 60°
Answer:
640 m
Step-by-step explanation:
We can consider 4 seconds to be 1 time unit. Then 8 more seconds is 2 more time units, for a total of 3 time units.
The distance is proportional to the square of the number of time units. After 1 time unit, the distance is 1² × 80 m. Then after 3 time units, the distance will be 3² × 80 m = 720 m.
In the additional 2 time units (8 seconds), the ball dropped an additional
... (720 -80) m = 640 m
_____
<em>Alternate solution</em>
You can write the equation for the proportionality and find the constant that goes into it. If we use seconds (not 4-second intervals) as the time unit, then we can say ...
... d = kt²
Filling in the information related to the first 4 seconds, we have ...
... 80 = k(4)²
... 80/16 = k = 5
Then the distance equation becomes ...
... d = 5t²
After 12 seconds (the first 4 plus the next 8), the distance will be ...
... d = 5×12² = 5×144 = 720 . . . meters
That is, the ball dropped an additional 720 -80 = 640 meters in the 12 -4 = 8 seconds after the first data point.
Answer:
0.249579
Step-by-step explanation:
P(rain) = 0.3
P(no rain) = 1 - 0.3 = 0.7
The event of rain falling a second time within the next 5 days is possible in these ways
1. Rain on days 1 and 2
2. Rain on days 1 and 3; none on day 2
3. Rain on days 1 and 4; none on days 2 and 3
4. Rain on days 1 and 5; none on days 2, 3 and 4
5. Rain on days 1 and 6; none on day 2, 3, 4 and 5
Answer:
You have a chance to get the pink marble at least once.
