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victus00 [196]
3 years ago
7

A force of $20$ newtons will stretch a spring $5$ centimeters. What is the total number of centimeters that a force of $60$ newt

ons will stretch the same spring
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

Step-by-step explanation:

Hooke's Law applies here, which is a linear relationship. It would be easier to solve this using proportions with N of force on the top and the amount of stretch in cm on the bottom. Set up with our unknown, the number of cm:

\frac{N}{cm}:\frac{20}{5}=\frac{60}{x} and cross multiply:

20x = 300 so

x = 15 cm

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So the answer is y=5 and x=1

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Write the expression in simplest form.
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Consider a regular hexagon inscribed in circle C with radius r. Regular hexagons have six congruent sides and six congruent angl
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The solution to the questions are:

  • The value of < ACB\ is\ 60\textdegree. As a consequence, the radius of the circle is equal to the length of the segment AB.

  • AB = BC =CA = R. As a consequence, the radius of the circle is equal to the length of the segment AB.  

  • The perimeter of the hexagon is equal to r times 6. As a result, the number 6r represents the hexagon's perimeter.

  • P=6.28r. As a result, the diameter of the circle is a fraction of a unit bigger than.

  • P=6.28r. As a result, the diameter of the circle is a fraction of a unit bigger than.

<h3>What is the length of segment AB?</h3>

1) Generally, the equation for  m∠ACB is  mathematically given as

CA= CB

CA = radius of the circle

Therefore,

∠CAB =

\angle CBA = 60 \textdegree

the sum of all the angles of a triangle

the sum of all the angles of a triangle is 180°

< CAB + < CBA + < ACB = 180 \textdegree

60\textdegree + 60\textdegree + < ACB = 180\textdegree

120\tetxtdegree + < ACB = 180\tetxtdegree

< ACB = 60\textdegree

The value of < ACB\ is\ 60\textdegree.

2. What is the length of segment AB?

In the same manner, as in ACB, all of the angles are the same. As a result, we may say that the triangle has equal sides.

In a triangle with equilateral sides, each of the triangle's three sides has the same length.

AB = BC =CA = R

As a consequence, the radius of the circle is equal to the length of the segment AB.

<h3>3. What is the perimeter of the hexagon?</h3>

The formula for calculating the hexagon's perimeter is 6a, where an is the number of sides in the hexagon.

The circumference of the hexagon is equal to 6 times a.

The circumference of the hexagon is equal to six times each side (AB)

The perimeter of the hexagon is equal to r times 6.

As a result, the number 6r represents the hexagon's perimeter.

4. The perimeter of the hexagon is  6r the circumference of the circle.

  • the perimeter of the hexagon = 6r
  • the perimeter of the circle = 2 \pi

P=2*\pi*r

P=2*3.14*r

P=6.28r

As a consequence of this, the hexagon's perimeter is less than the diameter of the circle.      

5. The circumference of the circle is 6.28r.

the perimeter of the circle = 2 \pi r

P=2*\pi*r

P=2*3.14*r

P=6.28r

As a result, the diameter of the circle is a fraction of a unit bigger than.

Read more about the circumference

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2 years ago
A semicircular flower bed has a diameter of 3 metre.
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All you have to do is find the area of the flower bed if it was a circle using (pi)r^2 and then divide by 2,

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the area of the circular flower bed is (pi)(1.5)^2

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This, rounded to the nearest decimal place is 3.5m^2
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Graded Assignment
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