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kakasveta [241]
3 years ago
6

Please help! Identify each decimal number as either rational or irrational.

Mathematics
1 answer:
labwork [276]3 years ago
6 0

Answer:

A Rational number is a number that can be written as a ratio in fraction form.

An Irrational number is a number that, when in decimal form, does not terminate or repeat.

Step-by-step explanation:

1.485 can be written as 1 485/1000 - it is rational

0.187345911... continues on and does not repeat - it is irrational

333.051422218... continues on and does not repeat - it is irrational

0.2268715 can be written as 2268715/10000000 - it is rational

1.24 can be written as 1 24/100 - it is rational

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A trout lurking 32 cm below the surface of a lake spies an insect flying 17cm above the lake. How many centimeters would the tro
Bumek [7]

Answer:

The Trout will have to jump 49 cm in order to catch the insect

Step-by-step explanation:

Here, we want to calculate the distance the Trout has to jump in order to catch the Insect

To calculate this, we need to know the difference in the distances

From what we have, the Trout is 32 cm below the surface while the Insect is 17 cm above the surface of the lake

The difference in height which will represent the distance that the Trout has to jump to catch the insect will be ;

17 + 32 = 49 cm

3 0
2 years ago
Help me please i don't know what to do
astra-53 [7]

Answer:

a. a = 1, b = -5, c = -14

b. a = 1, b = -6, c = 9

c. a = -1, b = -1, c = -3

d. a = 1, b = 0, c = -1

e. a = 1, b = 0, c = -3

Step-by-step explanation:

a. x-ints at 7 and -2

this means that our quadratic equation must factor to:

(x-7)(x+2) = 0

FOIL:

x^2 + 2x - 7x - 14 = 0

Simplify:

x^2 - 5x - 14 = 0

a = 1, b = -5, c = -14

b. one x-int at 3

this means that the equation will factor to:

(x-3)^2=0

FOIL:

x^2 - 3x - 3x +9 = 0

Simplify:

x^2 - 6x + 9 = 0

a = 1, b = -6, c = 9

c. no x-int and negative y must be less than 0

This means that our vertex must be below the x-axis and our parabola must point down

There are many equations for this, but one could be:

-x^2-x-3=0

a = -1, b = -1, c = -3

d. one positive x-int, one negative x-int

We can use any x-intercepts, so let's just use -1 and 1

The equation will factor to:

(x+1)(x-1)=0

This is a perfect square

FOIL:

x^2-1=0

a = 1, b = 0, c = -1

e. x-int at \sqrt{3} , -\sqrt{3}

our equation will factor to:

(x+\sqrt{3} )(x-\sqrt{3)} =0

This is also a perfect square

FOIL and you will get:

x^2 - 3 = 0

a = 1, b = 0, c = -3

4 0
1 year ago
PLEASE ANSWER
Gekata [30.6K]

Answer:

The answer is C I believe

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I rlly need help pls help me
kifflom [539]

Answer:

This one ↓↓↓↓↓↓

Step-by-step explanation:

The picture attached is the reflection over the line y = 0

-Chetan K

4 0
2 years ago
Find the area of the figure
lana [24]

Answer:

Below

Step-by-step explanation:

First I found the area of the portion that extends off (if that makes sense??)

It is a triangle, so use A = bh/2

A = (2)(6) / 2

   = 6 cm^2

Next I found the area of the rectangle using A = LW

A = (6)(3)

   = 18 cm^2

Total area = 18 + 6

                 = 24 cm^2

Hope this helps! Best of luck <3

5 0
3 years ago
Read 2 more answers
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