Answer:
√2 x √2 = 2
Step-by-step explanation:
Square roots that aren't perfect squares are irrational.
For Ex: √2 is irrational.
But √2 x √2 = √4 = 2. 2 is rational
Ex. 2 : √8 x √2 = √16 = 4. 4 is rational
Answer:
∠F = 42°
Step-by-step explanation:
similar triangles have congruent corresponding angle measures.
so if ΔABC ~ ΔEFG, then ∠B corresponds with ∠F, so ∠F = ∠B
∠F = 42°
Answer:
<u>30 hours</u> it will take to fill the reservoir.
Step-by-step explanation:
Given:
Water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.
The volume of the reservoir is 108 m³.
Now, to find the number of hours it will take to fill the reservoir.
As given the rate is liters per minute so we convert the volume into liters:
1 m³ = 1000 liters.
Thus, 108 m³ = 1000 × 108 = 108000 liters.
So, the volume of reservoir = 108000 liters.
And the rate of water pouring down = 60 liters per minute.
Now, to get the number of hours to fill the reservoir:
Now, to convert the 1800 minutes to hours by dividing 1800 by 60 as 1 hour is equal to 60 minutes:
Therefore, 30 hours it will take to fill the reservoir.
13/20 of the group's video games are at Jerome or Mario's house.
Jerome has 1/4 of the group's video games.
Mario has 2/5 of the group's video games.
The question asks what fraction of the video games are at either of their houses. Therefore, we need to add the fractions together to find out the total fraction of the video games at both of their houses.
1/4 + 2/5
We can't add these together because they have different denominators. We'll need to find the least common denominator of 4 and 5 before we can add them. If you can't think of a number that the two denominators can both multiply to get, an easy way to find the common denominator is to multiply the numbers together.
4 x 5 = 20
Therefore, our common denominator is 20. Now, we need to convert the fractions so that they can have a denominator of 20.
1/4 = ?/20
In order to find the numerator, ask yourself what we multiplied the denominator by to get the new denominator. In this case, we multiplied 4 by 5 to get 20. Therefore, we need to multiply 1 by 5 to get an equal fraction.
1 x 5 = 5
1/4 = 5/20
Our fraction is 5/20.
2/5 = ?/20
Now, let's do the same thing with the other fraction. In this case, we multiplied 5 by 4 to get 20, so we need to multiply 2 by 4 to get an equal fraction.
2 x 4 = 8
2/5 = 8/20
Our fraction is 8/20.
Now that the fractions both have the same denominator, we can add them together easily.
5 + 8 = 13
5/20 + 8/20 = 13/20
Add the numerators together to get the final answer.
Therefore, 13/20 of the group's video games are either at Jerome or Mario's house.
Hope this helps!
The required equation is <u>135 + 9x > 250</u>.
The number of lawns Ed must mow is assumed to be x.
The amount Ed charges for each lawn he mows is $9.
Thus, the total amount Ed earns by mowing x lawns = $9x.
The savings which Ed has is $135.
Thus, the total amount Ed will have to spend can be written as the expression, $(135 + 9x).
The cost of the video game is given to be $250.
We are asked to write an equation, that can be used to find the number of lawns Ed mow, that is x so that the amount Ed has will be more than the amount he needs to buy the video game.
This can be shown as the equation:
Total amount Ed has > Cost of the video game,
or, 135 + 9x > 250.
Thus, the required equation is <u>135 + 9x > 250</u>.
Learn more about writing equations at
brainly.com/question/25235995
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