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Nikitich [7]
2 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]2 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.

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A 150 cm pendulum swings through an arc which measured 100pi cm. In exact radians, through what angle does it swing?
choli [55]

Answer:

Pendulum will swing by an angle 0.666π

Step-by-step explanation:

We have given arc = 100\pi cm

And length of the pendulum l = 150 cm

Length of the pendulum will be equal to radius of the pendulum so r = 150 cm

Arc is given by arc=radius\times angle

So 100\pi =150\times\times  \Theta

\Theta =0.666\pi

So pendulum will swing by an angle 0.666π

5 0
2 years ago
The graph below shows a system of equations:
Darya [45]

ANSWER

The x-coordinate of the solution to the system of equations is 3.

EXPLANATION

The solution to the system of equations is the point of intersection of the straight lines that represents the given system.

From the graph the two straight lines intersected at:

(3,2)

Hence the solution to the system of equations is (3,2)

The x-coordinate of the solution to the system of equations is 3.

4 0
3 years ago
At age 16, Logan weighed 162 pounds. When he was 20, he weighed 198 pounds. Write a linear equation that relates Logans wait to
Nadusha1986 [10]
Answer:
y = 9x + 18
where y is the weight and x is the age

Explanation:
Assume that the age is x and the weight is y.
We are given that:
At age of 16, Logan was 162 pounds. Therefore, point on the line is (16,162)
At age of 20, Logan was 198 pounds. Therefore, point on the line is (20,198)

The general form of the linear equation is:
y = mx + c
where m is the slope and c is the y-intercept

1- getting the slope:
slope (m) = (y2-y1) / (x2-x1)
m = (198-162) / (20-16) = 9
The equation now becomes:
y = 9x + c

2- getting the y-intercept:
The two given points belong to the required line. This means that each of them satisfies the equation of the line.
So, to get the y-intercept, we will substitute with one of the points in the equation and solve for c.
I will use point (16,162) as follows:
y = mx + c
162 = 9(16) + c
162 = 144 + c
c = 162 - 144 = 18
Therefore, the equation becomes:
y = 9x + 18

Hope this helps :)
8 0
3 years ago
Read 2 more answers
Find the angle of elevation of the sun if a building 325 feet tall casts a shadow 296 feet long
Nataliya [291]

Answer:

Step-by-step explanation:

SOH CAH <u>TOA</u>

we have the (opposite) --> 325
we have the (adjacent) --> 296

so do the inverse tan of opposite over adjacent...
tan^{-1} (\frac{325}{296} ) = 47.67 degrees

3 0
2 years ago
Please solve for x and explain
icang [17]

Check the picture below.

(x+6)^2=x^2+12^2\implies (x+6)(x+6)=x^2+144 \\\\\\ \stackrel{F~O~I~L}{x^2+12x+36}=x^2+144\implies 12x+36=144\implies 12x=108 \\\\\\ x=\cfrac{108}{12}\implies x = 9

8 0
2 years ago
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