. Solve using synthetic division. (x3 − 3x2 − 5x − 25) ÷ (x − 5)

Mathematics

1 answer:

KIM [24]2 years ago

7 0

Answer:

Option D

Step-by-step explanation:

when you divide the equation with 5 you get x²+2x+5 and remainder is 0

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A jetliner is traveling at 500 mph. How far does it travel in 10 seconds. I am trying to calculate how many cell towers a call w

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To solve this problem, we are going to use a method called dimensional analysis. This involves canceling out units by multiplying by fractions equivalent to 1. We begin with our given information, that the jet flies 500 miles in one hour, and we multiply that by the fraction 1 hour/60 minutes, which is equivalent to 1. We also have to multiply by 1 minute/60 seconds, because we are looking for the amount of miles the jet flies in seconds.

500 miles/1 hour * 1 hour/60 minutes * 1 minute/60 seconds = 500 miles/3,600 seconds

Now that we have our equivalent in seconds, we must multiply by 10 seconds in order to find our answer.

500 miles/3,600 seconds * 10 seconds = approximately 1.3888 miles

Therefore, the jet flies about 1.39 miles in 10 seconds.

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A man standing near a building notices trhat the angle of elevation to the top of the buiilding is 64. he then walks 240 feet fa

trasher [3.6K]

See the picture attached to better understand the problem
we know that
in the right triangle ABC
tan 64°=AB/AC------> AB=AC*tan 64°-----> AB=x*tan 64°---> equation 1

in the right triangle ABD
tan 43°=AB/DA----> AB=DA*tan 43°---> AB=(240+x)*tan 43°---> equation 2

equate equation 1 and equation 2
x*tan 64°-=(240+x)*tan 43°---->x*tan 64=240*tan 43+x*tan 43
x*[tan 64-tan 43]=240*tan 43-----> x=240*tan 43/[tan 64-tan 43]
x=200.22 ft

AB=x*tan 64----> AB=200.22*tan 64-----> AB=410.51 ft

the answer is
410.51 ft

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