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Firdavs [7]
3 years ago
14

8. The perimeter of an equilateral triangle is 45 cm. 9-15

Mathematics
1 answer:
Dima020 [189]3 years ago
7 0

Answer:

a. 3x = 45

15cm

Step-by-step explanation:

Given the perimeter of an equilateral triangle = 45cm .

Using the equation

3x = 45

Divide both sides by 3

x = 45/3

= 15cm

The length of each side of the triangle is 15cm because an equilateral triangle has its three sides equal

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Step-by-step explanation:

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A hydraulic lift is to be used to lift a 2000-kg weight by putting a weight of 25 kg on a piston with a diameter of 10 cm. Deter
grigory [225]

Answer:

88 centimeters is the diameter of the cilinder

Step-by-step explanation:

The pressure on both ends of the lift must be the same. Assuming the piston is cilindrical, its area will be A=π*r² where r is half the diameter

Since pressure P=F/A And P1=P2

F1=2000kg.g

A1=π*r²

F2=25kg.g

A2=π*0.05²

2000/(π*r²)=25/(π*0.05²)

and we solve for A1

r²=2000*0.05²/25

r=\sqrt{\frac{2000*0.05^2}{25}}

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6 0
3 years ago
Read 2 more answers
HELP WITH MATHHHH PLEASE
Darina [25.2K]

The vertex is at the point (0,0) and the focus at the point (0, 1/8). This is given to us. Both the vertex and focus are separated by a vertical distance in the positive direction.

This means that the parabola opens upward. The vertex form of the equation for a parabola that opens upward is:

y = a(x - h)^2 + k, where the point

(h, k) is the vertex of the parabola.

Plug the vertex given into the above equation.

y = a(x - 0)^2 + 0

y = ax^2 + 0

y = ax^2

What is a?

Note: a = 1/(4f), where f is the distance from the vertex to the focus or simply as given in the focus point above 1/8.

Let f = 1/8

a = 1/4(1/8)

a = 1/(1/2)

a = 2

The equation we want is

y = 2x^2.

f(x) = 2x^2

Choice A is the answer.

8 0
3 years ago
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