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Artyom0805 [142]
2 years ago
13

Find the value of x. If necessary, write your answer in simplest radical form. x=?

Mathematics
1 answer:
Sever21 [200]2 years ago
5 0
Pythagoras’ theorem

a^2 + b^2 = c^2

Where a and b are two sides on a triangle and c is the hypotenuse.

Rearrange to find one to the sides that isn’t the hypotenuse.

a^2 = c^2 - b^2
a^2 = 25^2 - 10^2
a^2 = 625 - 100
a^2 = 525

(square root)

a = √525

= 5√21
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An open box is made from a 20​-cm by 50​-cm piece of tin by cutting a square from each corner and folding up the edges. The area
kipiarov [429]

Answer:

Therefore,

The length of the sides of the​ squares is

x=7\ cm

Step-by-step explanation:

Let "x" be the length of Cut Square,

As the tin size(Dimension) is

20 cm × 50 cm

So the size(Dimension) of box will be

(20 - 2x) × (50 - 2x)

Length = 50 - 2x

Width = 20 - 2x

Area of base of box = 216 cm²

To Find:

x = ?

Solution:

Area of Rectangular field is given by

(Area\ of\ Rectangle(Box)) = Length\times Width

Substituting the values we get

216=(50-2x)(20-2x)

Applying Distributive property we get

216=1000-100x-40x+4x^{2}

4x^{2}-140x+784=0

Dividing throughout by 4 we get

x^{2}-35x+196=0

On Factorizing we get

x^{2}-28x-7x+196=0\\\\(x-7)(x-28)=0\\\\x-7=0\ or\ x-28=0\\\\x=7\ or\ x = 28

As x cannot be 28 because tin size is 20 cm × 50 cm i.e longer than 20

Therefore,

x=7\ cm

Therefore,

The length of the sides of the​ squares is

x=7\ cm

5 0
4 years ago
Read 2 more answers
For a fundraiser, Hailey raises $27, plus 1.50 for each lap she swims. What was the total amount raised by each swimmer after sw
svlad2 [7]

Question is Incomplete; Complete Question is given below;

For a fundraiser, Hailey raises $27, plus 1.50 for each lap she swims. Tariana raises $18, plus $3 for each lap she swims what is the total amount raised by each swimmer after swimming laps. after how many laps would the two swimmers have raised the same amount of money?

Answer:

If they swim 6 laps they would raise same amount of money.

The Total amount of money they raised is $36 after 6 laps.

Step-by-step explanation:

Let number of laps swim by the swimmers be x

Given:

Hailey raises $27, plus 1.50 for each lap she swims.

Hence It means amount raised by Hailey is the sum of $27 and 1.50 multiplied by Number of laps she swim.

Framing in equation form we get;

Amount of Money raised by Hailey = 27+1.5x

Also Given:

Tariana raises $18, plus 3 for each lap she swims.

Hence It means amount raised by Tariana is the sum of $18 and 3 multiplied by Number of laps she swim.

Framing in equation form we get;

Amount of Money raised by Tariana = 18+3x

Hence The expression representing the Total amount raised by Hailey is 27+1.5x and by Tariana is 18+3x,

Now We need to find the Number of laps they swim so as the would raise the same amount of Money;

Hence equation can be framed as;

27+1.5x=18+3x\\

Combining common terms we get;

3x-1.5x=27-18\\\\1.5x= 9\\\\x=\frac{9}{1.5} =6

Hence If they swim 6 laps they would raise same amount of money.

Now we will find the amount they both will raise by substituting the value of x we get;

Amount of Money raised by Hailey = 27+1.5x = 27+1.5\times 6 = 27+9 =\$36

Amount of Money raised by Tariana = 18+3x= 18+3\times 6 = 18+18=\$36

Hence The Total amount of money they raised is $36 after 6 laps.

8 0
4 years ago
Please help!!<br> What is the area of the trapezoid?<br> I will mark brainliest! (If it is correct)
boyakko [2]

Answer:

30 in^{2}

Step-by-step explanation:

First find the area of each individual shape.

3 x 4 = 12 / 2 = 6 for the triangle on the left

5 x 4 = 20 for the rectangle

2 x 4 = 8 / 2 = 4 for the right triangle

Now all yo udo is add them all up to get the total area

6 + 20 + 4 = 30 in^{2}

3 0
3 years ago
Read 2 more answers
Sonja had m books and Alfonzo had twice as many, the two together having 18 books. How do you solve?​
raketka [301]

Answer:

sonja has 6 books

Step-by-step explanation:

let m = amount of books sonja has

2m+m=18

combine like terms

3m=18

divide

m=6

4 0
3 years ago
Read 2 more answers
I really need help on this please
klasskru [66]

Answer:

x = 6

Step-by-step explanation:

You use trig to find the hypotenuse of the first triangle. 4^2 + 3^2 = c^2. Then you get c = 5. SInce 10 is 2 times greater than 5 you multiply 3 by 2 and get 6. Hope that helps.

8 0
3 years ago
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