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Fittoniya [83]
3 years ago
7

Choose True or False for each statement.

Mathematics
1 answer:
madreJ [45]3 years ago
7 0

Answer:

1) True

2) True

3) False

4) True

Step-by-step explanation:

1) You can compare irrational numbers using rational approximations

The above statement is true as given two irrational numbers which can be expressed in decimal format, by rounding up the numbers to a certain number of decimal places, the values of the irrational numbers will be different

2) Square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol

The above statement is true as the the values of the numbers under the radical symbol are directly proportional to the square root

3) You cannot compare the value of rational and irrational numbers

The above statement is false because the value of an irrational number can be found between two rational numbers. Therefore, the value of an irrational number is higher than the rational number that precedes it on the left of a number line

4) The closer the numbers being compared, the more decimal places you need to use

The above statement is true as a higher level of detailed value of the numbers being compared will be required given the closeness in value of the numbers being compared.

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Find two consecutive whole numbers that the square root of 105 lies between
erastovalidia [21]

Answer: 10 and 11, also -11 and -10

Sqrt 100 is well known to be 10

Sqrt 121 is 11

Step-by-step explanation:

Positive Sqrt is monotone increasing

So Sqrt 105 is between sqrt 100 and sqrt 121


Second answer

Sqrt 100 is less well known to also be -10

Negative sqrt is monotone decreasing

Sqrt 121 is also -11

Sqrt 105 is also between -121 and -100

4 0
3 years ago
Help me I will give brainliest if it’s correct! Look at the picture!
Illusion [34]

Answer:

The volume of the cone is ≈ 301.59.

Step-by-step explanation:

The equation to use v = \frac{1}{3} \pi^{2}h. You plug in 6 as the radius (r) and 8 as the height (h).

3 0
3 years ago
a triangle has two sides that are 2 inches and 12 inches what could be the length of the third side of the triangle
Salsk061 [2.6K]
Hmm, let's see. Well a triangle's dimensions add up to 180. If both sides given add up to 14. Simply subtract 180 by 14. You get, 166. If I'm wrong, feel free to correct me on that :)
4 0
3 years ago
Read 2 more answers
Given A = {a, e, i, o, u} and B = {a, l, g, e, b, r}, find A ∪ B.
harkovskaia [24]
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3 0
3 years ago
Read 2 more answers
0.04x -0.06y=0.48<br> 0.08x-0.11 y=0.92
UkoKoshka [18]

Answer:

0.04x -0.06y=0.48

x = 1.5y + 12

0.08x-0.11 y=0.92

x = 1.375y + 11.5

Hope this helps!

6 0
3 years ago
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