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2 years ago

Nal or irrational Classify each number below as a rational number or an irrational number.

Mathematics

1 answer:

natulia [17]2 years ago

4 0

Answer:

1) irrational

2) irrational

3) rational

4) rational

5) rational

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Hey i know this question is linked to Pythagorean theorem but i am still confused. So, please help me if you can ❤️

antiseptic1488 [7]

Step-by-step explanation:

From Pythagorean theorem, one of the sides can be determined as x^2 + y^2 =8^2

or y = (8^2 - x^2)^(1/2)

we can write the perimeter P as

P = 2x + 2y ---> 20 = 2x + 2(8^2 - x^2)^(1/2)

Dividing by 2, we get

10 = x + (8^2 - x^2)^(1/2)

Move the x to the other side,

10 - x = (8^2 - x^2)^(1/2)

Take the square of both sides to get rid of the radical sign:

(10 - x)^2 = 8^2 - x^2

Move everything to the left and expand the quantity inside the parenthesis:

x^2 + (100 - 20x + x^2) - 64 = 0

2x^2 - 20x + 64 = 0

x^2 - 10x + 32 = 0

Now we can see that a = -10 and b = 32

6 0

2 years ago

Read 2 more answers

25% of 60 75% of 30 50% of 45.7 50% of 60 100% of 22.5 75% of 60 10% of 22.5

alexdok [17]

Answer:

25% of 60 is 15

75% of 30 is 22.5

50% of 45.7 22.85

50% of 60 30

100% of 22.5 is 22.5

75% of 60 is 45

10% of 22.5 2.25

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Draw at least six different sized rectangles that have an area of 64 square units

olga_2 [115]

Let

x------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of a rectangle is equal to

$A=x*y$

$A=64\ units^{2}$

$x*y=64$ --------> equation 1

let's assume different values of x to get the different values of y

case 1) For x=64 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/64$

$y=1\ units$

the dimensions of the rectangle are 64 units x 1 unit

see the draw in the attached figure N 1

case 2) For x=32 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/32$

$y=2\ units$

the dimensions of the rectangle are 32 units x 2 units

see the draw in the attached figure N 2

case 3) For x=16 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/16$

$y=4\ units$

the dimensions of the rectangle are 16 units x 4 units

see the draw in the attached figure N 3

case 4) For x=30 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/30$

$y=\frac{32}{15} =2\frac{2}{15} \ units$

the dimensions of the rectangle are 30 units x 2 (2/15) units

see the draw in the attached figure N 4

case 5) For x=40 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/40$

$y=1.60\ units$

the dimensions of the rectangle are 40 units x 1.60 units

see the draw in the attached figure N 5

case 6) For x=60 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/60$

$y=\frac{16}{15} =1\frac{1}{15} \ units$

the dimensions of the rectangle are 60 units x 1 (1/15) units

see the draw in the attached figure N 6

3 0

3 years ago

Suppose that two cards are randomly selected from a standard 52-card deck. (a) what is the probability that the first card is

Savatey [412]

(a) without replacement:
P(S)=13/52=1/4
P(SS)=(1/4)*(12/51)=1/17
Probability of selecting two spades without replacement is 1/17.

(b) with replacement
P(S)=13/52=1/4
P(SS)=(1/4)(13/52)=1/16
Probability of selecting two spades with replacement is 1/16.

8 0

3 years ago

PLEASE HELP QUICKLY I NEED HELP LESS THEN 5 MINUTES ILL GIVE BRAINLIEST I ONLY HAVE 5 MINUTES LEFT HELP IM FREAKING DESPERATE

yKpoI14uk [10]

Answer:

it would be C.) no distance was covered

Step-by-step explanation:

because the graph did not move on the y-axis

hope this helps

3 0

3 years ago