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saveliy_v [14]
2 years ago
6

Solve this for the brainlist

Mathematics
1 answer:
ella [17]2 years ago
8 0

Answer:

22.4

Step-by-step explanation:

using altitude theorem, the height of the triangle is 20

let y = height

10/y = y/40

y² = 400

y = \sqrt{400} or 20

Now we can us the Pythagorean Theorem to find 'x':

10² + 20² = x²

100 + 400 = x²

x=\sqrt{500} ≈ 22.4

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A brick of mass 4 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 3 cm. The spring is t
Zielflug [23.3K]

Answer:

Step-by-step explanation:

In this system we have the force of the spring and the gravitational force. The equation that describes that is

F_{s}+F{g}=ma\\k(y_0+y)-mg=ma

where y0 is the equilibrium position when the string is free and y0+y is the new equilibrium position when the object is hanged of the string. By replacing by derivatives we have

ky_0+ky-mg=ma\\mg+ky-mg=ky=ma\\\\ky=m\frac{d^2y}{dt^2}\\\\my''+ky=0

the solution for this differential equation is (by using the characterisic polynomial)

y(x)=Acos(kt)+Bsin(kt)\\k=\omega^2m

hope this helps!!

7 0
3 years ago
Read 2 more answers
Simplify the expression <br><br> 12y plus 5x plus 8y
zlopas [31]

Answer:

20y + 5x

Step-by-step explanation:

Combine like terms

12y + 5x + 8y

20y + 5x

5 0
2 years ago
Are the two triangles below similar??
kodGreya [7K]

Answer:

Yes

Step-by-step explanation:

If you find the value of all the angles, you'll find that both triangles' angles are 50, 35, and 90 degrees.

(all the angles in a triangle add up to 180)

7 0
2 years ago
1 2 3 4 5 6 7 8 9 10
daser333 [38]
<h3>Answer:</h3>

2.25

<h3>Explanation:</h3>

Consider the square ...

... (x+a)² = x² +2ax +a²

The constant term (a²) is the square of half the x-coefficient: a² = (2a/2)².

The x-coefficient in your expression is 3. The square of half that is ...

... (3/2)² = 9/4 = 2.25

Adding 2.25 to both sides gives ...

... x² +3x + 2.25 = 6 + 2.25

... (x +1.5)² = 8.25 . . . . completed square

4 0
3 years ago
Which graph represents as a function of length of the trip
Sav [38]
Do you have a picture to go with it?
3 0
3 years ago
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