1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nikitich [7]
3 years ago
8

The peak of Mount Everest is at 8,848 meters above sea level. The peak of Kanchenjunga is at 8,586 meters above sea level. The e

levation of Mount Everest's peak as a rational number is___________meters. The elevation of Kanchenjunga's peak as a rational number is ______meters.
Mathematics
1 answer:
madreJ [45]3 years ago
4 0

Answer:

\frac{8,848}{1}

\frac{8,586}{1}

Step-by-step explanation:

1. The number 8,848 is an integer and the number 8,586 is also a integer.

2. Therefore, to solve this problem you must convert the integers shown above to fractions (Because a rational number is that one that can be written as a fraction), as you can see below:

Write each integer as a the numerator of the fraction a write 1 as the denominator. This will not change the value.

Then you obtain the following fractions:

\frac{8,848}{1}

\frac{8,586}{1}

3. Then, the elevation of Mount Everest's peak as a rational number is  \frac{8,848}{1} meters. The elevation of Kanchenjunga's peak as a rational number is \frac{8,586}{1} meters.

You might be interested in
Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely
larisa [96]

\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}

\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1)  +2x(2x+1) +  (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2

3 0
2 years ago
Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all
posledela

This question is Incomplete

Complete Question

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)

Answer:

0.7762

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Population mean = 6.20 bl/s

Standard deviation = 1.58 bl/s.

x = 5 bl/s

z = 5 - 6.20/1.58

z = -0.75949

The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)

Probability value from Z-Table:

P(x<5) = 0.22378

P(x>5) = 1 - P(x<5)

= 1 - 22378

= 0.77622

Approximately to 4 decimal places = 0.7762

The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

5 0
3 years ago
Dianne measured the thickness of 1000 sheets of paper as 264mm. How thick is the sheet? Please hurry anyone!!!!!
Karo-lina-s [1.5K]

Answer:

0.264 mm

Step-by-step explanation:

Number of sheets = 1000

Thickness of entire sheet = 264 mm

The thickness of the sheet is :

Thickness of entire sheet / number of sheets

264 mm / 1000

= 0.264 mm

6 0
3 years ago
Find COS
ehidna [41]

\frac{9}{41}

Step-by-step explanation:

The ratio cosine tell us that

  • In a right angled triangle, the cosine of an angle is the side adjacent to the angle divided by the hypotenuse of the triangle.

In other words,

\cos(x)  =  \frac{adj}{hyp}

The side adjacent to angle a is 9. The hypotenuse is 41.

So

\cos(a)  =  \frac{9}{41}

6 0
3 years ago
Evaluate the expression and enter your answer below. 4•3+13-3^2
Pepsi [2]
If I’m not mistaken, 16
3 0
3 years ago
Other questions:
  • Geometry: (properties of rhombi) <br> diagonals ____ opposite ____
    13·1 answer
  • a tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 2 grams of salt per liter is then p
    10·1 answer
  • Help me out with this question, please thank you ❤️
    13·1 answer
  • How can I solve this problem
    5·2 answers
  • ILL GIVE BRAINLIEST TO WHOEVER SOLVES IN 10 MINSSolve each absolute value equation:
    12·1 answer
  • 50 POINTS! Could someone answer these 3 questions? <br><br> I’ll mark Brainliest
    15·1 answer
  • 22a) PLEASE HELP BEST ANSWER BRAINLIEST
    10·1 answer
  • Please help this is due today!
    14·1 answer
  • Express your answer in scientific notation.<br> 4.9 X 10^5 – 5.8 X 10^4<br><br> WILL MARK BRAINLIST
    13·1 answer
  • A hotel swimming pool is made up of four semicircles and a square. Find the perimeter of the swimming pool. Round your answer to
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!