The runways at an airport are arranged to intersect and are boarded by fencing a security guard needs to patrol the outside fence of the runways once per shift what is the estimated distance she walks every shift

The risk factors should be considered when choosing a form of investment for your money is: interest rate and risk

Investment or investing means that an asset is bought, or that money is put into a bank to get a future interest from it.

While making an investment the investment consider:

So, The risk factors should be considered when choosing a form of investment for your money is: interest rate and risk

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Answer:

The hypotenuse is 12 so the other side lengths are 6 and 6sqrt(3). Therefore the perimeter is 18 + 6sqrt(3). i hope it helps if not im glad to help step by step

Step-by-step explanation:

Answer:

DB = 32

Step-by-step explanation:

Given :

⇒ C is the midpoint of the line AB

⇒ E is the midpoint of the line DC

⇒ AE = 16

=============================================================

Understanding :

⇒ AC = BC = 1/2AB

⇒ AD = DC = 1/2AC = 1/4AB

⇒ DE = 1/2AD = 1/4AC = 1/8AB

=============================================================

Finding AB :

⇒ AE = AD + DE

⇒ 16 = 1/4AB + 1/8AB

⇒ 3/8AB = 16

⇒ AB = 16 x 8 / 3

⇒ AB = 128/3

=============================================================

Finding DB :

⇒ DB = DC + CB

⇒ DB = 1/4AB + 1/2AB

⇒ DB = 3/4AB

⇒ DB = 3/4 × 128/3

⇒ DB = 128/4

⇒ DB = 32

Answer:

164.6

Step-by-step explanation:   i'm a human calculator

Answer:

164.6

Step-by-step explanation:

Divide 987.6 by 6 = 987.6/6= 164.6

Answer:

200.96 square units

Step-by-step explanation:

 d = 16

r = diameter ÷ 2 = 16 ÷ 2

r = 8

  [tex]\boxed{Area \ of \ circle = \pi r^2}[/tex]

                           = 3.14 * 8* 8

                           = 200.96 square units

Answer:

See Explanation!

Step-by-step explanation:

Brief History:

While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.

⇒ Given :

Using the formulas

[tex]A=\pi r^{2} \\d=2r[/tex]

Solving for [tex]A[/tex]

[tex]A=\frac{1}{4} \pi d^{2} =\frac{1}{4} *\pi *10^{2}[/tex] ≈ [tex]78.53982[/tex]

[tex]A[/tex] ≈ [tex]78.54...rounded[/tex]

⇒ Given :

Using the formulas

[tex]A=\pi r^{2} \\\d=2r[/tex]

Solving for [tex]A[/tex]

[tex]A=\frac{1}{4} \pi d^{2} *\pi *16^{2}[/tex] ≈ [tex]201.06193[/tex]

[tex]A[/tex] ≈ [tex]201.06...rounded[/tex]

Answer:

try youre best to complete youre succsess

Answer:

A. 38

Step-by-step explanation:

Diagonals of a rhombus bisect 90° at the center. Taking O to be the center :

Answer:

360°

Step-by-step explanation:

Sum of exterior angle of any polygon = 360

Sum of exterior angle of pentagon = 360

Answer:

The first thing that we have to do is add 33 to both sides to try to reduce the amount of variables on the left hand side.

[tex]\frac{x}{6} - 33 = -27[/tex]

[tex]\frac{x}{6} - 33 + 33 = -27 + 33[/tex]

[tex]\frac{x}{6} = 6[/tex]

Now that we have simplified the left hand side even more we only have one part left to get x by itself which is to multiply both sides by 6.

[tex]\frac{x}{6} = 6[/tex]

[tex]\frac{x}{6} * 6 = 6 * 6[/tex]

[tex]x = 36[/tex]

Therefore, our final answer for what the value of x equals is 36.

Hope this helps!  Let me know if you have any questions

Answer:

60

Step-by-step explanation:
(* = multiplication symbol)

6^2+8*3

36+8*3

36+24

60

Answer:60

Step-by-step explanation:

Use bidmas

(Brackets Indices Division Multiplication Addition Subtraction)
so first do 6 squared =36

Then 8x3 =24

Then 36+24= 60

Answer:

h = A ÷ b

Step-by-step explanation:

The base is to be the subject of formula not height so dividing through the equation by b to give h = A ÷ B is not a possible first step

Step-by-step explanation:

How do you find the speed of a falling object?

Calculate the final free fall speed (just before hitting the ground) with the formula v = g*t = 9.80665 * 8 = 78.45 m/s. Find the distance traveled by the falling object, using the equation s = 0.5 * g * t^2 = 0.5 * 9.80665 * 8^2 = 313.8 m.

Answer:

4.5

Step-by-step explanation:

4.5 x 2 = 9

very simple

Answer:

see explanation

Step-by-step explanation:

a² + 8a

using the method of completing the square

add ( half the coefficient of the a- term)²

a² + 2(4)a + 16

= (a + 4)²

Answer: 2

Step-by-step explanation:

The linear equation that has a slope of -7 and crosses the x-axis at (3, 0) is:

y =  -7x + 21

A general linear equation is:

y = a*x +b

Where a is the slope and b is the y-intercept.

The slope must be equal to the limit found in part a, and you say that it is equal to -7, so the slope is -7. And for how is written the problem, I understand that it crosses the x-axis at x = 3.

Then we will have:

y = -7*x + b

Such that, when x = 3, y = 0, then:

0 = -7*3 + b

21 = b

Then the linear equation is y = -7x + 21

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Answer:

The line will pass through (3,-7) and has a slope of 3

Step-by-step explanation:

x=3 , f(x) = x^3 - 4x^2 + 2

f(3) = 3^3 -4(3)^2 + 2

f(3) = -7

Step-by-step explanation:

here you go hope it helps

Answer:

403010

Step-by-step explanation:

Because the rate is increasead and 30% is used as well as 5.5% and the restate agency gets $383,000

Answer:

9.65 meters

Step-by-step explanation:

965 cm * 1 m / 100 cm = 9.65 m

Answer:

by multiplying the numbers

Answer: B

Step-by-step explanation:

Step-by-step explanation:

Volume = 4πr³/3

= 4•7³•π/3

=1372π/3

= 1372•3.14/3

≈ 1436.03 units³

to the nearest hundredth.

Answer:

[tex]30[/tex]

Step-by-step explanation:

Given expression:

[tex]5(x + 4) + 5(2 - x)[/tex]

Note: The value of "x" is undefined because the given sum is not an equation. Thus, I will simplify the expression as much as possible.

Let us simplify all the distributive properties stated in the expression.

Apply the distributive property rule [a(b + c) = ab + ac]

[tex]\implies5(x) + 5(4) + 5(2) - 5(x)[/tex]

Since 5(x) is being subtracted from 5(x), we get:

[tex]\implies 5(x) + 5(4) + 5(2) - 5(x)[/tex]

[tex]\implies 5(4) + 5(2)[/tex]

Finally, let us simplify the sum of the product of (5 and 4) and (5 and 2).

[tex]\implies20 + 10[/tex]

[tex]\implies \boxed{30}[/tex]

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Answer:

x= 2

1 =0.5

x=0

Step-by-step explanation:

Answerfdf:d

fd

dffdfsd

Step-by-step explanation:

g) 6g=54

g=54/6

g=9

h) 7h=73-10

h=63/7

h=9

I) 8x-32=48

8x=48-32

x=16/8

x=2

j) 63=27+9j

63-27=9j

36/9=j

4=j

k) 101-61=4x

40/4=x

20=x

l)46=8+x-5

46=3+x

46-3=x

43=x

Hope this helps you

have a nice day

[tex]~~~~~x^2 -2 = 47\\\\\implies x^2 = 47 +2 \\\\\implies x^2 = 49\\\\\implies x = \pm\sqrt{49}\\\\\implies x = \pm 7\\\\\text{Hence, }~ x = 7,~~ x = -7[/tex]