Choose the correct answer.

scoundrel [369]

The square root 5 is irrational because a square root of a positive number is either an integer or irrational number. Therefore it is irrational.

7 0

3 years ago

At wild thing zoo, you can rent a motorized cart to tour grounds for a $3 initial charge and $7 per hour. at safari zoo, you can

makvit [3.9K]

When setting up the equation you have the initial fee and the hourly fee. The hourly fee is what must be multiplied by the number of hours which is our unknown

6 0

3 years ago

1. Harsha makes a scale drawing of a window. She uses the scale 1cm represents 20cm.

guajiro [1.7K]

Part (A)

(1 cm)/(20 cm) = (6 cm)/(x cm)

1/20 = 6/x

1*x = 20*6

x = 120

120 cm = 120/100 = 1.2 m

<h3>Answer: 1.2 m</h3>

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

Part (B)

2.2 m = 2.2*100 = 220 cm

(1 cm)/(20 cm) = (x cm)/(220 cm)

1/20 = x/220

1*220 = 20*x

20x = 220

x = 220/20

x = 11

<h3>Answer: 11 cm</h3>

6 0

3 years ago

If the sides of a triangle are in the ratio 3:4:5, prove that it is<br>right-angled triangle

lyudmila [28]

Answer:

hope this helps

Step-by-step explanation:

Let a , b , c are three sides of a triangle

a : b : c = 3 : 4 : 5

a = 3x ,

b = 4x ,

c = 5x

a² = 9x²

b² = 16x²,

c² = 25x².

c² = a² + b²

by the pythagorean theorem,

a , b , c forms a right angled Triangle.

6 0

3 years ago

Read 2 more answers

Let X equal the number of flips of a fair coin that are required to observe

Nataliya [291]

Answer:

(a) I attached a photo with the diagram.

(b) $f(x) = \big( \frac{1}{2} \big)^{x-1}$

(c) 1/4

(d) 4

(e) $k^2/2$

Step-by-step explanation:

(a) I attached a photo with the diagram.

(b) The easiest way to think about this part is in terms of combinatorics. Think about it like this.

To begin with, look at the three each level of the three represents a possible outcome of throwing the coin n-times. If you throw the coin 3 times at the end in total there are 8 possible outcomes. But The favorable outcomes are just 2.

1 - Your first outcome is HEADS and all the others are different except the last one.

2 - Your first outcome is TAILS and all the others are different except the last one.

Therefore the probability of the event is

$f(x) = P(X=x) = \frac{2}{2^x} = \frac{1}{2^{x-1}} = \big( \frac{1}{2} \big)^{x-1}$