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viktelen [127]
3 years ago
5

How many posts does it take to support a fence around a square field measuring 100 feet on a side if posts are placed every 10 f

eet?
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0

Answer:

10 Posts

Step-by-step explanation:

100ft. / 10ft.

it's is kind of simple

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PLEASE SOMEONE HELP ME ANSWER THIS !!!!
Mumz [18]

Step-by-step explanation:

Part A: Linear Equation.

  • One of the points is (0,15). This means 0,15 is the y intercept so b=15.

We can find the slope

\frac{5 - 15}{1  - 0 }  =  \frac{ - 10}{1}  =  - 10

So our equation is

y =  - 10x + 15

Part B: Exponential Equation

We know that

15 = a \times b {}^{0}

B to the zero power is 1 so

15 = a

This means a =15. Now let find b.

5 = 15 \times b {}^{1}

\frac{1}{3}  = b

So the equation is

y = 15( \frac{1}{3} ) {}^{x}

6 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
Find the measure of CD⎯⎯⎯⎯⎯⎯⎯⎯.<br><br> A. 8<br> B. 6<br> C. 5<br> D. 7
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Answer:

Using the property of intersecting secant:-

(DE)(CE)=(FE)(LE)

(4)(x-1+14)=(5)(x-4+5)

4(x+3)=(5x+1)

4x+12=5x+5

4x+-5x=5-12

-x=-7

x=7

So, CD=x-1=7-1=6

so,~your ~answer ~is ~B) ~6

<h3><u>----------------------------</u></h3><h3><u>hope it helps...</u></h3><h3><u>have a great day!!</u></h3>
3 0
3 years ago
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