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3 years ago

What type of number is the square root of 3

Mathematics

2 answers:

zmey [24]3 years ago

8 0

Irrational because square root of 3 repeats over and over

galina1969 [7]3 years ago

6 0

Answer:

Irrational

Step-by-step explanation:

Since √3 is a non-terminating decimal (it repeats forever), it will be an irrational number.

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HELP!!! RST has vertices R(-3, - 1), S(0,3), and t(3,0). What type of triangle is RST?

VladimirAG [237]

<h3>Answer: C) scalene</h3>

======================================================

Explanation:

Use the distance formula to calculate the distance from R to S. This is identical to the length of segment RS.

$R = (x_1,y_1) = (-3,-1) \text{ and } S = (x_2, y_2) = (0,3)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-0)^2 + (-1-3)^2}\\\\d = \sqrt{(-3)^2 + (-4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\$

Segment RS is exactly 5 units long.

-----------------------

Repeat similar steps to find the length of segment ST

$S = (x_1,y_1) = (0,3) \text{ and } T = (x_2, y_2) = (3,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-3)^2 + (3-0)^2}\\\\d = \sqrt{(-3)^2 + (3)^2}\\\\d = \sqrt{9 + 9}\\\\d = \sqrt{18}\\\\d \approx 4.2426\\\\$

ST is roughly 4.2426 units long.

------------------------

Lastly, let's calculate the length of segment TR.

$T = (x_1,y_1) = (3,0) \text{ and } R = (x_2, y_2) = (-3,-1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-(-3))^2 + (0-(-1))^2}\\\\d = \sqrt{(3+3)^2 + (0+1)^2}\\\\d = \sqrt{(6)^2 + (1)^2}\\\\d = \sqrt{36 + 1}\\\\d = \sqrt{37}\\\\d \approx 6.0828\\\\$

TR is about 6.0828 units long.

------------------------

Summary of the segment lengths:

RS = 5 exactly
ST = 4.2426 approximately
TR = 6.0828 approximately

The three sides are different lengths.

Therefore, the triangle is <u>scalene</u>.

5 0

2 years ago

What is the radius and diameter of the following circle?<br> 11 cm

tresset_1 [31]

Answer:
22
Explanation:
The radius of a circle is exactly half the length of the diameter. Thus, to find the diameter when given the radius, multiply the radius's length by
2
.
2
r
=
d
2
×
11
=
d
22
=
d

Hope this helps.

8 0

3 years ago

Factorise<br>a^4+a^2b^2+b^4

finlep [7]

Answer:

a^6*b^6

Step-by-step explanation:

I think that's correct, but I'm not sure

5 0

3 years ago

Which statement is always false?

FinnZ [79.3K]

Answer:

All parallelograms are squares

Step-by-step explanation:

Reasoning:

You can have a parallelogram with side lengths, i dont know, 5 and 3, right? That isn't a square :)

8 0

3 years ago

NEED HELP FAST !<br> Find the value of x

Kazeer [188]

Answer:

Step-by-step explanation:

its right

4 0

2 years ago

Read 2 more answers