A stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s
Answers
Answer:
23.7m
Step-by-step explanation:
Given parameters:
Time taken = 2.2s
Acceleration due to gravity = 10m/s
Unknown:
Depth of the well = ?
Solution:
To solve this problem, we simply apply one of the motion equations;
S = ut + gt²
where S = depth of the well
u = initial velocity
t = time taken
g = acceleration due to gravity
Input the parameters and solve for S;
Note initial velocity = 0;
S = x 9.8 x 2.2²
S = 23.7m
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Jeremy sprinted for 123 seconds and rested. Then he sprinted for 157 seconds, rested, and sprinted again for 195 seconds. Estimate the combined time he sprinted by rounding to the nearest ten and then adding the rounded numbers.
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Answers
the measure of the second smallest angle.
118°
131°
132.5°
142°
None of these answers are correct.
Answers
Answer: 132.5 degrees (choice C)
=====================================================
Explanation:
The interior angles are consecutive numbers such as 1,2,3,... or 7,8,9... and so on. The gap between any two adjacent neighbors is 1.
For any polygon with n sides, the interior angles add up to 180(n-2)
We have n = 8 sides so the interior angles sum to 180(n-2) = 180(8-2) = 1080 degrees.
Any octagon has its interior angles add up to 1080 degrees.
-----------------------------
Let x be the smallest angle. The next angle up is x+1. After that is x+2 and so on until we reach x+7 as the 8th angle.
Add up those 8 angles, set the sum equal to 1080 and solve for x
x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(x+6)+(x+7) = 1080
8x+28 = 1080
8x = 1080-28
8x = 1052
x = 1052/8
x = 131.5
This is the smallest angle. The next angle up or the second smallest angle is x+1 = 131.5+1 = 132.5 degrees (choice C)
Answers
Answer:
7.5 lbs
Step-by-step explanation:
We want to separate 45 pounds of flour by 6 people, which means we have to divide 45 by 6 to get 7 and 1/2 pounds or 7.5 lbs for each baker.
Answer:er./llllllll;tfph[n7j8ujhgedrsth5rdymu67igh8bn6[nmhylmnhhno9ooilhmny9yhju98y98079huj97
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Step-by-step explanation:sfrnb kds 3i4huygr4vfb 4rf413qgweb31Y
B. -16t^2+1000<_ 300
C. -16t^2+1000>_300
D.-16t^2+1000>300
Answers
Answer:
D. is the correct answer.
Step-by-step explanation:
It is given that Distance, d above ground with time 't' is given by the formula:
The negative sign with indicates that the distance is decreasing with square of time. i.e. value is getting subtracted from a value 1000.
For example, if t = 0, d = 1000 feet
If t = 2, d = -16 4 + 1000 = 936 feet
We can clearly see that when 't' is increasing, the distance 'd' is decreasing.
And at a certain time, the object will be on ground when d = 0 feet.
Inequality for the distance greater than 300 feet i.e.
d > 300 feet
Hence, the inequality will be:
is the correct answer.
Answers
Answer:
Factor to this equation out, the easiest way is to solve for the two x values that add up to -1 but when multiplied is equal to -6. It should look like this: (x +- ?)(x +- ?).
The factored out form is then (x - 3)(x +2), because -3 + 2 = -1 and when multiplied together gives -6.
x - 3 = 0
x = 3
x + 2 = 0
x = -2
The two solutions are therefore, x = 3 and x = -2.