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Alexxandr [17]
2 years ago
5

please help me thanks if you do :') it would also be awesome if you could explain but its ok if you can't i guess. Find x

Mathematics
1 answer:
klio [65]2 years ago
8 0

Answer:

x=4\sqrt{2}\ units

Step-by-step explanation:

Theorem: In the right triangle the leg is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to the leg.

Based on the theorem above,

x^2=2\cdot (2+6)\\ \\x^2=4\cdot 8\\ \\x^2=32\\ \\x=\sqrt{32}\ units\\ \\x=4\sqrt{2}\ units

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there are only blue, yellow and green cubes in a bag. there are three times as many blue cubes than yellow cubes and five times
Sophie [7]

Answer:

Do you have options to choose from

8 0
2 years ago
Read 2 more answers
A mother has two children whose ages differ by 5 years. The sum of the squares of their ages is 97. The square of the​ mother's
svetoff [14.1K]

Answer:

41 years old.

Step-by-step explanation:

Let x represent age of younger child.

We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be x+5.

The sum of the squares of their ages is 97. We can represent this information in an equation as:

x^2+(x+5)^2=97

Let us solve for x.

x^2+x^2+10x+25=97

2x^2+10x+25-97=0

2x^2+10x-72=0

Divide both sides by 2:

x^2+5x-36=0

x^2+9x-4x-36=0

x(x+9)-4(x+9)=0

(x+9)(x-4)=0

(x+9)=0 ; (x-4)=0

x=-9 ; x=4

Since age cannot be negative, therefore, age of younger child is 4 years.

Age of older child would be x+5\Rightarrow4+5=9

Therefore, the age of older child would be 9 years.

We have been given that the square of the​ mother's age can be found by writing the squares of the​ children's ages one after the other as a​ four-digit number.

Square of 4: 4^2=16

Square of 9: 9^2=81.

Square of mother's age: 1681

To find mother's age, we need to take positive square root of 1681 as:

\sqrt{1681}=41

Therefore, the mother is 41 years old.

4 0
3 years ago
Liza needs a total of 22.23 square feet of cloth to make a bag and a towel the bag requires 5.13 square feet of cloth the height
Troyanec [42]

Answer:

5.7 feet

Step-by-step explanation:

Total cloth area recquired to make a bag and a towel is 22.23 square feet

Given the area of the cloth recquired to make the bag is 5.13 square feet.

The area of cloth recquired to make the towel is = 22.23-5.13=17.1 square feet

given the height of the towel = 3 feet

let the length of the towel be x

We know that area = length\times height

area=3x

3x=17.1\\x=5.7

therefore the length of the towel is 5.7 feet

6 0
2 years ago
Which choice is equivalent to the expression? please help!
Shalnov [3]

the answer is option e. *answer needs to be 20 characters long this should do :)

6 0
3 years ago
I need help with 17-22
DIA [1.3K]

Answer:

-5

Step-by-step explanation:

5 0
3 years ago
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