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
ololo11 [35]
4 years ago
11

Estimate StartRoot 37 EndRoot 37 to the nearest tenth. Then locate StartRoot 37 EndRoot 37 on a number line.

Mathematics
1 answer:
Vesnalui [34]4 years ago
5 0

Estimating value of √37.

We know that

6^{2} = 36 and 7^{2} =49, so

6 < √37 < 7

If we take the average of 6 and 7, we get

\frac{6+7}{2}  = \frac{13}{2} = 6.5

Since, 6.5^{2} = 42.25

6 < √37 < 6.5

If we take the average of 6 and 6.5 , we get

\frac{6+6.5}{2}  = \frac{12.5}{2} = 6.25

Since, 6.25^{2} = 39.0625

6 < √37 < 6.25

If we take the average of 6 and 6.25 , we get

\frac{6+6.25}{2}  = \frac{12.25}{2} = 6.125

Since, 6.125^{2} = 37.515625

6 < √37 < 6.125

If we take the average of 6 and 6.125 , we get

\frac{6+6.125}{2}  = \frac{12.125}{2} = 6.0625

Since, 6.0625^{2} = 36.75390625

6.0625 < √37 < 6.125

If we take the average of 6.0625 and 6.125 , we get

\frac{6.0625+6.125}{2}  = \frac{12.125}{2} = 6.09375

Since, 6.09375^{2} = 37.1337890625

6.0625 < √37 < 6.09375

If we take the average of 6.0625 and 6.09375 , we get

\frac{6.0625+6.09375}{2}  = \frac{12.15625}{2} = 6.078125

Since, 6.078125^{2} = 36.943603515625

6.078125 < √37 < 6.09375

If we take the average of 6.078125 and 6.09375 , we get

\frac{6.078125+6.09375}{2}  = \frac{12.171875}{2} = 6.0859375

Since, 6.0859375^{2} = 37.03863525390625

Therefore,

√37 ≈ 6.0859375.

And if we round it to the nearest tenth, we get

√37 ≈ 6.1


Locating √37 on number line.

In order to locate √37 on number line first draw a line 0 to 6 on number line.

Then draw a perpendicular line segment of 1 unit on number 6 on number line.

Join the number 0 on the number line by the top point of perpendicular line segment on number 6 we drew in above step.

Finally, draw a curve by taking radius as Hypotenuse of the right trinagle form in the diagram shown.

The curve would cut the number line exactly at √37 on number line.

You might be interested in
What is the surface area of the cylinder with height 7 cm and radius 5 cm? Round
nalin [4]

Answer:

376.991 cm²

Step-by-step explanation:

SA_{cylinder} = 2\pi r^{2}  + 2\pi rh

Surface Area = 2π(5²) + 2π(5)(7)

                      = 50π + 70π

                      = 120π

                      = 376.9911184... ≈ 376.991

<h2>Derive Surface Area of A Cylinder</h2>

If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle

The formula for the area of a circle = πr², and since there are 2, it is 2πr²

The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh

∴ 2πr² + 2πrh

5 0
3 years ago
What is 7p-(-5)+(-1)
nika2105 [10]
7p-(-5)+(-1)
7p+5-1
7p+4
7 0
3 years ago
Read 2 more answers
How long will it take a seal swimming at a speed of 8 miles per hour to travel 52miles
Soloha48 [4]
It will take the seal 6.5 hours to swim 52 miles.
3 0
3 years ago
Read 2 more answers
Un olivar tiene 80 olivos. Sesenta de ellos dan, por término medio, 50 kg 4 hg 60 dag 5 g de aceitunas cada uno, y los otros vei
vlada-n [284]

Answer:

1330.808 euros

Step-by-step explanation:

Let's first calculate the total amount of kilograms,

for the first 60, we have to:

50 kg

4 hg = 0.5 kg

60 dag = 0.6

5 g = 0.005 kg

adding: 50 + 0.5 +0.6 + 0.005 = 51.105 kg per tree, but they are 60

51.105 * 60 = 3066.3

now for the other 20:

53 kg

2 hg = 0.2 kg

16 dag = 0.16

5 g = 0.005

adding: 53 + 0.2 +0.16 + 0.005 = 53.365 kg per tree, but they are 20

53,365 * 20 = 1067.3

in total it would be: 3066.3 + 1067.3 = 4133.6

they tell us that 1/5 is the quantity in liters:

4133.6 * 1/5 = 826.72 liters

so to calculate the earnings it would be:

2.65 * 826.72 - 860 = 1330.808

which means that in net earnings are 1330.808 euross

8 0
3 years ago
Naresh walked 2 km 35 m in the morning and 1 km 7 m in the evening. How much distance did he walk in all?
lara [203]
Answer: 3km 42n

Add 2km 35m and 1km 7m together. This will give you your answer of 3km 42n

Hope this helps comment below for more questions :)
4 0
3 years ago
Other questions:
  • The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21) write an equation, in function nation
    14·1 answer
  • Is -5/3 irrational or rational?
    9·1 answer
  • Write 79031 in two different ways
    9·1 answer
  • I need help on this question and every time I get help on this question some people get it wrong. can someone give me the right
    13·1 answer
  • X + (-9) + 9 = 8 solve the equation using mental math
    14·1 answer
  • Help,how do I solve this? 4-5+6/2x7=
    9·1 answer
  • Darnelle has a $10,000, three-year loan with an APR of 5%. She uses the table on page 159 to compute information on the loan,
    10·1 answer
  • It is known that the variance of a population equals 1,936. A random sample of 121 has been taken from the population. There is
    10·1 answer
  • Write an expression for each of the following:
    15·2 answers
  • The diagram shows a right-angled triangle.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!