Answer:
third side = 9
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x, then
x² + 40² = 41², that is
x² + 1600 = 1681 ( subtract 1600 from both sides )
x² = 81 ( take the square root of both sides )
x =
= 9
The third side is 9
Volume of sphere is
V=4/3pi r^3
Where r is 2 in this example so,
V= 10.67 pi
V= 33.51
Answer:Carlos and his family arrived at 10:30
Step-by-step explanation:
The time Carlos and his family left for the amusement park =8:35
Since The trip took 1 hour 55 minutes., we have to add it to the time they left for the amusement park to now the time they arrived
8: 35 =8 hrs 35minutes
<u> 1 hr 55 minutes</u>
<u> 90 minutes </u>
but 90minues is greater than 60 so we convert to hours and minutres by dividing by 60 giving us
90/60=1.5hrs=1hr 30mins
8¹ hrs 35minutes
<u> 1 hr 55 minutes</u>
<u> 10hrs 30 minutes </u>
Therefore, They arrived at 10:30
Answer:
Zach earns $10 and for the pair of boots Zach earns $15
Step-by-step explanation:
Let be x the number of pairs of shoes
Let be y the number of pairs of boots
Then we can establish the following system of equations with the data of the statement:

We subtract the second equation from the first equation to eliminate the variable y and solve for x, just like this:

For y replacing in the first equation the value of x and solving for y:

So for the pair of shoes Zach earns $10 and for the pair of boots Zach earns $15
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