Answer:AC = 20
BK = 9.6
Step-by-step explanation:
AC is found using the Pythagorean theorem in the usual way:
AC² = AB² + BC²
AC² = 12² + 16² = 144 +256 = 400
AC = √400
AC = 20
You may recognize this is a 3-4-5 triangle scaled by a factor of 4.
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Then BK is found using similar triangles. All of the triangles in the figure are similar*, so ...
long side / hypotenuse = BC/AC = BK/AB
BK = AB(BC/AC) = 12(16/20) = 12×0.8
BK = 9.6
Answer:
The hang time is 0.63 seconds
Step-by-step explanation:
We want to find out what the cricket's fall time is and we have the function that describes its height as a function of time.
The cricket is on the ground when its height is equal to zero. Therefore we must equal h to zero and solve the equation for t ..
We take t as a common factor
Then the height is zero when t = 0 and when (10-16t) = 0
At t = 0 seconds the cricket is still on the ground.
Then the cricket is in the air and after 0.63 seconds the cricket falls back to the ground
Sales tax of $785 is $54.95.
Next you add that to the price of the dining set.
The cost of the dining set, after sales tax is $839.95
Hope this helps!