How many solutions does this equation have

Classify the following is rational or irrational(a) √45

marshall27 [118]

The numbers that can be expressed in the form of a fraction are called rational numbers. While that numbers that cannot be expressed in the form of a fraction are called irrational numbers.

$\sqrt{45} =\sqrt{3 \times 3 \times 5}$

$\sqrt{45} =3\sqrt{5}$

$3\sqrt{5}$ is an irrational number, it cannot be expressed in the form of a fraction.

3 0

3 years ago

You select a card at random from the cards that make up the word “replacement”. Without replacing the card, you choose a second

natta225 [31]

To find the total probability, we first need to solve for the probability of the individual events.

Event 1:
P(consonant)=7/11
We know this to be true because out of the 11 total possibilities for the event, 7 of them are consonants.
R E P L A C E M E N T

Event 2
P(e)=3/10
We know this to be true because out of the 10 total possibilities for the event (since we didn't replace the first card we withdrew), 3 of them are the letter 'e'.
R E P L A C E M E N T (-1 to account for the first card we withdrew)

The possibility of both events...

P(consonant then 'e')=7/11*3/10=21/110

Answer: P=21/110

6 0

3 years ago

C 5 in 4 in What is the length of the hypotenuse?

vlabodo [156]

Answer:

${c}^{2} = {5}^{2} + {4}^{2} \\ {c}^{2} = 25 + 16 \\ {c}^{2} = 41$

3 0

3 years ago

Lines LaTeX: CEC E and LaTeX: ADA D intersect at LaTeX: BB.

Goshia [24]

Answer:

✔️The measure of angle <CBA is equal to the measure of angle <DBE.

✔️The measure of angle CBD is equal to the measure of angle ABE.

✔️The sum of the measures of angles CBD and CBA is 180 degrees.

Step-by-step explanation:

Vertical angles are formed when two straight lines intersect each other at a certain point. The diagram given is a typical example. This, vertical opposite angles formed are said to be congruent, that is their measures are equal to each other.

The following statements are true of the given diagram:

✔️The measure of angle <CBA is equal to the measure of angle <DBE.

(<CBA and ,<DBE are vertically opposite angles)

✔️The measure of angle CBD is equal to the measure of angle ABE.

(They are both vertically opposite angles)

✔️The sum of the measures of angles CBD and CBA is 180 degrees.

(<CBA and <CBD are supplementary angles)

3 0

3 years ago

A submarine traveling 200 meters below the surface of the ocean increases its depth by 45 meters. Adam says that the new locatio

My name is Ann [436]

Answer:

The error that Adam could have made is added 45 to the depth of

submarine instead of adding -45

Step-by-step explanation:

* Lets explain how to solve the problem

- A submarine traveling 200 meters below the surface of the ocean

- Increases its depth by 45 meters

- Adam says that the new location of the submarine is -155 meters

- We need to know the error of Adam

∵ We consider the surface of the ocean is the zero level

∵ The submarine is 200 meters below the surface of the ocean

∵ Below means negative

∴ The depth of submarine is -200 meters

∵ It increases the depth by 45 meters

- That means it travels down another 45 meters

∵ Down means negative

∴ The depth of submarine = -200 + (-45) = -245 meters

∴ The depth of submarine is 245 below the surface of the ocean

- Adam could thought that the submarine traveled up for 45 meters

then he add 45 to -200

∵ -200 + 45 = -155 meters

∴ The error that Adam could have made is added 45 to the

depth of submarine instead of adding -45

3 0

3 years ago