Answer:
The length of the pendulum is 14.13 meters.
Step-by-step explanation:
The length of a pendulum is given by the formula, , where T is the times period and L is the length of the pendulum.
Now, given that T = 2.4π seconds.
So, from the above equation, we get,
⇒
⇒ {We have the value of g as 9.81 m/sec²}
⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)
Therefore, the length of the pendulum is 14.13 meters. (Answer)
Answer:
He drove to pick Jack at a speed of 16.25mph
Step-by-step explanation:
In this question, we are trying to calculate the speed at which Mathew drove to pick up his cousin Jack.
Firstly, we need to calculate some stuffs.
like the total number of distance traveled? That is simply 8 miles + 11 miles = 19 miles! keep this!
Now, we need to know the total average speed. This is the total distance traveled over the time taken. The time taken is 24 minutes, let’s have this in hours. That would be 24/60 = 0.4 hours
The total average speed is thus 19 miles/ 0.4 hours = 47.5 mph
Now let’s go get the speed he drove to Jack!
directly from the question, we were told that the speed to the mall is 15mph faster. This means if the speed he took to fetch Jack was x, the speed to the mall would be x + 15
so this means;
x + x + 15 = 47.5
2x + 15 = 47.5
2x = 32.5
x = 32.5/2
x = 16.25 mph
Answer: The first pair of triangles can be proven congruent by SAS.
Step-by-step explanation:
SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the two triangles are said to be congruent.
In the first pair of triangles the included angle of a triangle are equal to two sides and the included angle of another triangle, therefore by SAS postulate the two triangles are said to be congruent.
In the second figure, the pair of triangles are congruent by ASA postulate not SAS.
In the third figure, the pair of triangles are not congruent by any postulate or theorem [Because there is no SSA rule].
In the fourth figure, the pair of triangles are congruent by SSS postulate not SAS.
Answer:
Step-by-step explanation:
3) 9732.8/20 = <u>486.64</u>
4) 0.75x4= 3
43.6- 3= 40.6
40.6/30= <u>1.35</u>
It is given that Joe was being exposed to an electromagnet shrinking machine. Because of this his height started decreasing .
Given,
The decrease was at a constant rate per second.
In 1.5sec, the height is decreased by 120cm.
So,
Variation per second =
Change in each second would be with negative sign indicate's decrease .
Hence, Answer is “-80” .
Hope it's helpful to you.
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