25/7 =
7 goes into 25 3 times with 4 left over
25/7 = 3 4/7
39/51 =
divide top and bottom by 3
39/51 =13/17
Step-by-step explanation:
25/7 = 3.57142857 ( round to 3.57)
39/51 = 0.76470588 ( round to 0.76)
;)
To find the value of x for a pair of similar polygons, set up a proportion comparing the lengths of corresponding sides and solve for x.
The value of x can be found by examining the corresponding sides of similar polygons. For example, if one side of the first polygon is twice as long as the corresponding side of the second polygon, then we can set up the proportion:
Length of side in polygon 1 / Length of side in polygon 2 = 2 / 1
Once we have the proportion set up, we can solve for x by cross-multiplying and then dividing:
Length of side in polygon 1 = 2 * Length of side in polygon 2
So, the value of x is 2 times the length of the corresponding side in the second polygon.
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The juggled ball was in the air for roughly 0.94 seconds. Using the principles of projectile motion and gravity, you calculate the time for the ball to rise to its peak and then double this value to get the total time the ball is in the air as it follows the same path back down.
The question is about determining the time a juggled ball stays in the air when thrown up at a particular speed and height. The principles of projectile motion and gravity apply here. The time taken for the ball to rise and fall back to the same height can be found using the physics concept of free fall. While the ball is in the air, it rises and then falls to a final position which is equal to its starting altitude. This is because the ball is thrown and caught at the same height.
From the facts we have, the initial vertical speed is 15 fps (feet per second). Since the acceleration due to gravity is -9.8 m/s² or approximately -32.2 fps² (note that it is negative as it is acting downward), we can use the following equation of motion which is derived from Newton's second law:
final velocity = initial velocity + (acceleration x time)
In this case, the final velocity when the ball reaches the peak of its flight is 0 (since it stops for a moment before falling again), and the acceleration is -32.2 fps². If we rearrange the equation to solve for time (t), we get:
t = (Final velocity - Initial velocity) / acceleration. Substituting the values we get:
t = (0 - 15) / -32.2 = 0.47 s
This is the time taken for the ball to go up. However, the ball takes the same amount of time to come down, so we multiply this by 2 to get the total time the ball is in the air:
Total time = 0.47 x 2 = 0.94 seconds, approximately.
So, the ball was in the air for roughly 0.94 seconds.
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The answer is 817.
Further explanation
Problem: given 4,083,817.
Question: what are the 3 digits in the unit period.
This is a problem with place value. Given 4,083,817 which is a large number in the standard form.
The digits in large numbers are in groups of three places, i.e.,
The groups are called periods, i.e.,
Commas are typically used to separate the periods.
Let's set the place values from 4,083,817 consecutively as follows.
Let us say in word form: four million eighty-three thousand eight hundred seventeen.
Hence, three digits in the units period are 817.
Keywords: the units period, 3 digits, 4,083,817, a large number, standard form, millions, thousands, hundreds, tens, ones, place value, four, eighty-three, seventeen, three, number form
Three digits in the units period are 817.
Given that,
A number is, 4,083,817.
Since, A number 4,083,817 which is a large number in the standard form.
The digits in large numbers are in groups of three places, i.e.,
hundreds,
tens,
ones (or units).
Now, The groups are called periods, i.e.,
millions period
thousands period
ones or units period
Commas are typically used to separate the periods.
Hence, the place values from 4,083,817 consecutively as follows.
In the millions period: 4 ones.
In the thousands period: 0 hundred thousands, 8 ten thousands, 3 one thousands.
In the units period: 8 hundreds 1 tens 7 ones.
Hence, in word form: four million eighty-three thousand eight hundred seventeen.
Hence, three digits in the units period are 817.
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