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2 years ago

Which number is irrational? OA. 0.45 OB. 0.636363... O C. √25 OD. √6

Mathematics

1 answer:

pashok25 [27]2 years ago

7 0

Answer:

D. Sqroot6

Step-by-step explanation:

6 is not a perfect square. So it is a non-repeating decimal that never ends

sqroot6 ~=

2.4494897428...

this is an irrational number.

The rest on the numbers can be written as a ratio:

0.45=45/100=9/20

0.63636363

= 63/99 = 7/11

sqrt25 = 5 = 5/1

that means they are rational.

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Find the length of diagonal HJ. Round to the nearest hundredth.

Alisiya [41]

Answer:

The length of the diagonal HJ is 10.82 units

Step-by-step explanation:

* Lets revise the rule of the distance between two points

- $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ , where

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ are the two points

* Lets use this rule to find the length of the diagonal HJ

∵ The coordinates of point H are (-4 , 3)

∵ The coordinates of point J are (5 , -3)

∴ $x_{1}=-4$ and $x_{2}=5$

∴ $y_{1}=3$ and $y_{2}=-3$

- Lets find the length of the diagonal HJ by using the rule above

∴ HJ = $\sqrt{(5-(-4))^{2}+(-3-3)^{2}}=\sqrt{(5+4)^{2}+(-6)^{2}}$

∴ HJ = $\sqrt{(9)^{2}+36}=\sqrt{81+36}=\sqrt{117}=10.81665$

∴ HJ = 10.82

* The length of the diagonal HJ is 10.82 units

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3 years ago

The table below shows the relative frequencies of the color of cars bought last month by males and females. Which percentage rep

frozen [14]

The first thing we must do for this case is to observe the highest relative frequency of the table in the total column.
For the white car we have:
Male = 0.11
Female = 0.20
Total = 0.31
The percentage is given by:
(0.31) * (100) = 31%
Answer:
The percentage that represents the car bought most often is:
31%

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3 years ago

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GrogVix [38]

Answer:

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Step-by-step explanation:

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