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elena55 [62]
4 years ago
13

Please help! I have to use the Pythagorean theorem for this but idk how to do that with four numbers

Mathematics
1 answer:
lana [24]4 years ago
5 0

Answer:

Step-by-step explanation:

Remark

Simple answer: you can't. I mean that you can't try to use 4 numbers, but you can solve the problem. You are going to have to redraw the diagram on another sheet of paper. Follow the directions below.

Directions for diagram extension.

Go to the right hand end of the 10 unit line.

Draw a line from the intersection point of the 10 unit line and 12 unit line

Draw this line so it is perpendicular to the 18 unit line. That will mean that the new line is parallel (and equal) to x

Mark the intersect point of the new line and the 18 unit line as B

Mark the intersect point of the 18 point line and the 12 unit line as C

Given and constructed

BC = 18 - 10 = 8

BC is one leg of the Pythagorean triangle.

The new x is the other leg of the Pythagorean triangle.

12 is the hypotenuse.

Formula

x^2 + 8^2 = 12^2

x refers to the new x which is equal to the given x

Solution

x^2 + 64 = 144              Subtract  64 from both sides

x^2 +64 - 64 = 144-64  Combine

x^2 = 80                        Break 80 down.

x^2 = 4 * 4 * 5               Take the square root of both sides        

x = 4*sqrt(5)

Comment

If you want the area it is 4*sqrt(5)(10 + 18)/2 = 56*sqrt(5)

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I need an answer so I can get good grades
UkoKoshka [18]

Answer:

Perimeter of figure = 36.3

Step-by-step explanation:

We'll begin by calculating the perimeter of the rectangle. This can be obtained as follow:

Length (L) = 9

Width (W = 4

Perimeter of rectangle (Pᵣ) =?

Pᵣ = 2(L + W)

Pᵣ = 2(9 + 4)

Pᵣ = 2(13)

Pᵣ = 26

Next, we shall determine the perimeter of semi circle. This can be obtained as follow:

Diameter (d) = 4

Pi (π) = 3.14

Perimeter of semi circle (Pₛ) =?

Pₛ = ½(πd) + d

Pₛ = ½(3.14 × 4) + 4

Pₛ = ½(12.56) + 4

Pₛ = 6.28 + 4

Pₛ = 10.28

Finally, we shall determine the perimeter of the figure. This can be obtained as follow:

Perimeter of rectangle (Pᵣ) = 26

Perimeter of semi circle (Pₛ) = 10.28

Perimeter of figure =?

Perimeter of figure = Pᵣ + Pₛ

Perimeter of figure = 26 + 10.28

Perimeter of figure = 36.28 ≈ 36.3

5 0
3 years ago
An aquarium holds 3D 3.75 gallons of water it has a length of 2 feet and a height of 1.5 ft what is the volume of the aquarium w
just olya [345]

The width of the aquarium is 0.1625 ft.

Step-by-step explanation:

Given,

The length (l) of the aquarium = 2 ft

Height (h) = 1.5 ft

The capacity of water it holds = 3.75 gallons

That means the volume (V) = 3.75 gallon

To find the width(b) of the aquarium.

Formula

  • The volume of a cuboid with l as length, b as width and h as height = lbh
  • 1 gallon = 0.13 cube ft

So,

V = 3.75×0.13 cube ft

According to the problem,

2×1.5×b = 3.75×0.13

or, b = (3.75×0.13)÷(2×1.5)

or, b = 0.1625 ft

Hence,

The width of the aquarium is 0.1625 ft.

5 0
3 years ago
Solve the system.<br> x+3y=7<br> 2x-4y=24
Alina [70]

Answer:

y= -1 and x = 10

Step-by-step explanation:

(1) x+3y=7

(2) 2x-4y=24

Clear x from the 1st equation: x=7-3y

And replace x from the 2do one: 2(7-3y)-4y=24

14-6y-4y=24

-6y-4y=24-14

-10y=10

y=-10/10

y=-1

Now we have y=-1, let's finde x:

x=7-3y

x=7-3(-1)

x=7+3

x=10

7 0
3 years ago
Determine a measure X for the indicated segment​
love history [14]

Answer:

13.5

Step-by-step explanation:

By Geometric mean property:

6 \times x =  {9}^{2}  \\  \\ 6x = 81 \\  \\ x =  \frac{81}{6}  \\  \\ x = 13.5 \:

7 0
3 years ago
Read 2 more answers
Cho tam giác ABC vuông tại C, biết : Góc A = 50 độ. Tính góc B
chubhunter [2.5K]

Answer:

Tổng 3 góc trong 1 tam giác là 180 độ

Vậy góc B = 180 - A - C = 180 - 90 - 50 = 40 độ

8 0
2 years ago
Read 2 more answers
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