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irinina [24]
3 years ago
5

Is a "solution" another term for zeros?

Mathematics
2 answers:
kolezko [41]3 years ago
7 0

Answer:

No

Step-by-step explanation:

because its not a generally vector-valued function

HACTEHA [7]3 years ago
4 0

Answer:

  Not necessarily

Step-by-step explanation:

A "solution" and a "zero" are the same thing for the equation ...

  f(x) = 0

For anything else, such as ...

  f(x) = 1

a zero of f(x) is <em>not a solution</em>.

_____

All equations can be put into the form

  f(x) = 0

so a zero will be a solution to it. I often use this form with a graphing calculator, because those are adept at finding zeros.

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How do you know if a net will fold into a pyramid?
Natalka [10]

Step-by-step explanation:

A pyramid is made when 4 triangle meet on square then mate on each together .

4 0
2 years ago
Help meez 40 pts use surface area formula of cylinder that is for Lateral surface area and for total surface area
jeka94

Answer:So the radius of the cylinder is 2.65 cm.

A cylinder can be defined as a solid figure that is bound by a curved surface and two flat surfaces. The surface area of a cylinder can be found by breaking it down into 2 parts:

1.  The two circles that make up the caps of the cylinder.

2.  The side of the cylinder, which when "unrolled" is a rectangle.

The area of each end cap can be found from the radius r of the circle, which is given by:

A = πr2

Thus the total area of the caps is 2πr2.

The area of a rectangle is given by:

A = height × width

The width is the height h of the cylinder, and the length is the distance around the end circles, or in other words the perimeter/circumference of the base/top circle and is given by:

P = 2πr

Thus the rectangle's area is rewritten as:

A = 2πr × h

Combining these parts together we will have the total surface area of a cylinder, and the final formula is given by:

A = 2πr2 + 2πrh

where:

π  is Pi, approximately 3.142

r  is the radius of the cylinder

h  height of the cylinder

By factoring 2πr from each term we can simplify the formula to:

A = 2πr(r + h)

The lateral surface area of a cylinder is simply given by: LSA = 2πr × h.

Example 1: Find the surface area of a cylinder with a radius of 4 cm, and a height of 3 cm.

Solution:

SA = 2 × π × r2 + 2 × π × r × h

SA = 2 × 3.14 × 42 +  2 × 3.14 × 4 × 3

SA = 6.28 × 16 + 6.28 × 12

SA = 100.48 + 75.36

SA = 175.84

Surface area = 175.84 cm2

Example 2: Find the surface area of the cylinder with a radius of 5.5cm and height of 10cm.

Solution:

The radius of cylinder = 5.5 cm.

The height of cylinder = 10 cm.

The total surface area of the cylinder is therefore:

TSA = 2πr(r+h)

TSA = 11π (5.5+10)

TSA = 170.5 π

TSA = 535.6 cm2

Example 3: Find the total surface area of a cylindrical tin of radius 17 cm and height 3 cm.

Solution:

Again as in the previous example:

TSA = 2πr(r+h)

TSA = 2π× 17(17+3)

TSA = 2π×17×20

TSA = 2136.56 cm2

Example 4: Find the surface area of the cylinder with radius of 6 cm and height of 9 cm.

Solution:

The radius of cylinder: r = 6 cm

The height of cylinder: h = 9 cm

Total surface area of cylinder is therefore:

TSA = 2πr(r + h)

TSA = 12π (6+9)

TSA = 180 π

TSA = 565.56 cm2

Example 5: Find the radius of cylinder whose lateral surface area is 150 cm2 and its height is 9 cm.

Solution:

Lateral surface area of cylinder is given by:

LSA = 2πrh

Given that:

LSA = 150cm2

h = 9cm

π is the constant and its value = 3.14

Substitute the values in the formula and find the value of r by isolating it from the equation:

LSA = 2πrh

150 = 2× π × r × 9

r = 150 / (2×9× π)

r = 2.65cm

So the radius of the cylinder is 2.65 cm.

5 0
2 years ago
Please help
earnstyle [38]

Please consider the graph of the sphere.

We know that the volume of sphere is equal to \frac{4}{3}\pi r^3, where r represents radius of sphere.

We can see that diameter of sphere is 30 inches. We know that radius is half the diameter, so radius of the given sphere would be half of 30 inches that is \frac{30}{2}=15 inches.

V=\frac{4}{3}\pi r^3

V=\frac{4}{3}\pi (15\text{ in})^3

V=\frac{4}{3}\pi \times 3375\text{ in}^3

V=4\times 1125\pi \text{ in}^3

V=4500\pi \text{ in}^3

Therefore, the volume of the given sphere is 4500\pi\text{ in}^3 and option B is the correct choice.

8 0
3 years ago
Help, please:( safasvasfas
Viefleur [7K]
Ratios are not my thing sorry

5 0
2 years ago
Why is it not possible to know the exact value of an irrational number?
Firdavs [7]

Answer:

An irrational number has a repeating decimal digits that continues on infinitely

Step-by-step explanation:

6 0
3 years ago
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