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3 years ago

Is the sum of √16 and 1.5 rational or irrational?" Justify and explain your answer.

Mathematics

1 answer:

valkas [14]3 years ago

8 0

Answer:

Rational

Step-by-step explanation:

The square root of 16 is 4, and 4 + 1.5 is = to 5.5. An irrational number is defined as infinite and never-ending. Since 5.5 is not infinite, we can conclude that it isn't irrational.

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PLEASE HELP

vodka [1.7K]

Proportional mate try that maybe then

6 0

3 years ago

Flying against the wind, an airplane travels 5760 kilometers in 6 hours. Flying with the wind, the same plane travels 6300 kilom

Aleks [24]

<h2>Speed of plane = 1110 kmph</h2><h2>Speed of wind = 150 kmph</h2>

Step-by-step explanation:

Let the speed of plane be p and speed of wind be w.

Flying against the wind, an airplane travels 5760 kilometers in 6 hours.

Here

Speed = (p-w) kmph

Time = 6 hours

Distance = 5760 kmph

Distance = Speed x Time

5760 = (p-w) x 6

p-w = 960 -----eqn 1

Flying with the wind, the same plane travels 6300 kilometers in 5 hours.

Here

Speed = (p+w) kmph

Time = 5 hours

Distance = 6300 kmph

Distance = Speed x Time

6300 = (p+w) x 5

p+w = 1260 -----eqn 2

eqn 1 + eqn 2

p-w + p +w = 960 + 1260

2p = 2220

p = 1110 kmph

Substituting in eqn 2

1110 + w = 1260

w = 150 kmph

Speed of plane = 1110 kmph

Speed of wind = 150 kmph

5 0

3 years ago

An aircraft is spotted by two observers who are 1000 feet apart. As the airplane passes over the line joining them, each observe

Karolina [17]

See the attached figure to better understand the problem

we know that
PB+BQ=1000 ft------->PB=1000-BQ-------> equation 1

in the triangle PAB
tan 50=AB/PB----------> AB=PB*tan 50------> equation 2

in the triangle ABQ
tan 25=AB/BQ------> AB=BQ*tan 25-------> equation 3

equals equation 2 and equation 3
PB*tan 50=BQ*tan 25--------> equation 4

substitute equation 1 in equation 4

[1000-BQ]*tan 50=BQ*tan 25-----> 1000*tan 50-BQ*tan 50=BQ*tan 25
BQ*[tan 25+tan 50]=1000*tan 50-----> BQ=1000*tan 50/[tan 25+tan 50]
BQ=718.76 ft
PB=1000-718.76-----> PB=281.24 ft
AB=PB*tan 50-----> 281.24*tan 50------> 335.17 ft

the answer is
335.17 ft

8 0

3 years ago

What are these i don't get it?

OLEGan [10]

Answer:

Triangles

Step-by-step explanation:

Hope this helps, mark brainliest if u can :)

3 0

3 years ago

I need help with this question. use absolute value<br><br>9 = |X+5|

Reptile [31]

Answer:

x = -14, 4

Step-by-step explanation:

9 = |x + 5|

~Split into 2 equations

x + 5 = -9 and x + 5 = 9

~Solve for x in both

x + 5 = -9

x = -14

x + 5 = 9

x = 4

Best of Luck!

5 0

3 years ago

Read 2 more answers