Casey is in Florida when a Zombie Apocalypse suddenly breaks out in his area. He needs to help his family and friends cross a sinkhole to escape the marauding herd. Help Casey calculate the amount of rope he will need to zipline his family and friends to safety … don’t mess this up!

(a) Choose a point on the graph (using whole numbers) and use this point to form a triangle, making the red line one side of this triangle. Calculate the three midsegments of the triangle you created, these will stabilize the zipline. Show all of your calculations below and draw in your work in the image above.

(B) Calculate the perimeter of the triangle and the lengths of each midsegment. Add these together so that Casey knows just how much rope he will need to create this lifeline to safety. Show all of your work below. Only round off at the end of the problem. Round to the nearest hundredth digit.

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Casey Is In Florida When A Zombie Apocalypse Suddenly Breaks Out In His Area. He Needs To Help His Family
Casey Is In Florida When A Zombie Apocalypse Suddenly Breaks Out In His Area. He Needs To Help His Family

Answers

Answer 1

Attaching ropes to the midsegment of the triangle formed ensures that the

zipline can more safely cross the family and friends to safety.

The amount of rope needed to create a lifeline to safety is approximately 46.56

Reasons:

The coordinates of the endpoints of the redline = A(4, 3), and B(-8, -2)

The point selected, P = (4, -3)

[tex]\displaystyle Mid \ point \ of AB, \ D = \left(\frac{4 + (-8)}{2}, \ \frac{3 + (-2)}{2} \right) = \left(-2, \, 0.5\right)[/tex]

[tex]\displaystyle Mid \ point \ of AP, \ E = \left(\frac{4 +4}{2}, \ \frac{3 + (-3}{2} \right) = \left(4, \ 0 \right)[/tex]

[tex]\displaystyle Mid \ point \ of\, BP, \ F = \left(\frac{-8 +4}{2}, \ \frac{-2+ (-3}{2} \right) = \left(-2, \ -2.5\right)[/tex]

The lengths of the midsegments are found as follows

Length of DE = √((4 - (-2))² + (0 - (0.5))²) = 0.5·√(145)

Length of DF = √(((-2) - (-2))² + ((-2.5) - (0.5))²) = 3

Length of EF = √(((-2) - 4)² + ((-2.5) -0)²) = 6.5

(b) The length of side AB = √((4 - (-8))² + (3 - (-2))²) = 13

The length of side BP = √((4 - (-8))² + (-3 - (-2))²) = √(145)

The length of side AP = √((4 - 4)² + (-3 - 3)²) = 6

The perimeter of the triangle ΔABP = 13 + 6 + √(145) = 19 + √(145)

The amount of rope needed to create a lifeline to safety is therefore;

19 + √(145) + 0.5·√(145) + 3 + 6.5 = 28.5 + 1.5·√(145) ≈ 46.56

The amount of rope needed to create a lifeline to safety = 46.56

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Casey Is In Florida When A Zombie Apocalypse Suddenly Breaks Out In His Area. He Needs To Help His Family

Related Questions

pls help me i will mark you brilliant​

Answers

2. a) 3 days.

b) 1 hour.

3. a) 20 km

b) 1200 l

If f(x)=2(x2+5), then f(-3)=

Answers

Answer:

-1

Step-by-step explanation:

So you would do

-3×2= -6

then do

-6+5= -1

I am good at reading not math I need help please

Answers

Step-by-step explanation:

the answer is attached

I Hope This Help

How do I simplify these squared expressions? I believe I'm supposed to use multiplication but I'm not sure how. All of my answers have been incorrect so far.

Answers

I think it wants you to remove the squares.

See if this works :)

Math is hard help me please

Answers

Answer:

the third answer

Step-by-step explanation:

because If two positive numbers are multiplied together or divided, the answer is positive. If two negative numbers are multiplied together or divided, the answer is positive. If a positive and a negative number are multiplied or divided, the answer is negative.

the first option 1/3^3

explanation: add the exponents together because they have the same base then put it under 1 because of the negative exponent rule

Helppppp Pleaseeeeeee

Answers

Answer:

what is the question

Step-by-step explanation:


9. Machine Trades Find the width X of the V-thread shown. (Round to the
nearest thousandth.)

Answers

Step-by-step explanation:

gjr      jrijtigjtitrg  rkgtrigjkjgkfrijr      l      

ents
2 in
2 in
What is the area of the given figure? Enter your answer as a single number. Round to the
nearest tenths place. Use 3.14 as an approximation for pi. Your answer will be in the units of
inches squared
15

Answers

Answer:

7.1 in²  

Step-by-step explanation:

If you mentally rearrange the figure it's

a circle with a radius of 1

and a square with side of 2

Area of circle

a = 3.14r²

a = 3.14 * 1²

a = 3.14

Ares of square

a = s²

a = 2²

a = 4

Combined ares

a = 3.14 + 4

a = 7.14

Rounded

7.1 in²

Rita is adding 3 + (negative 8) + 1. She rewrites the expression as 3 + (negative 1) + 8.
What is Rita’s error?

Answers

In this question, Rita rewrote the 1 as negative 1 and the -8 as 8. This changes the answer.

Order the fallowing numbers from least to greatest put the lowest number on the left. -4 , 2 , -1, 3

Answers

Answer:

-4,-1,2,3

Step-by-step explanation:

An octopus weighed 3 5/6 kilograms.After two weeks,its weight was increased by 1 4/5 kilgrams.But afterwards,it got sick and lost 2 7/15 kilograms.what is the current weight?​

Answers

I think it's 3 1/6 kilograms

Step-by-step explanation:

3 5/6 + 1 4/5 since it increased

find the LCD (Least Common Denominator)

that would be 30

3 25/30 + 1 24/30

=4 49/30

= 5 19/30

Then we do subtraction since it lost some weight

5 19/30 - 2 7/15

find LCD again

5 19/30 - 2 14/30

=3 5/30

simplify

3 1/6 kilograms. That's what I think.

Simplify the expression.

6(12 – 3) + 4 + (3 × 2)

a.64
b.96
c.144
d.208

Answers

6(9)+4+(6). 54+4+6= 64 A

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]6(12-3)+4+(3)(2)[/tex]

[tex]=(6)(9)+4+(3)(2)[/tex]

[tex]=54+4+(3)(2)[/tex]

[tex]=58+(3)(2)[/tex]

[tex]=58+6[/tex]

[tex]= 64[/tex]

Answer:

64.

Hopefully, this helps you!!

[tex]Sokka[/tex]

If Shane’s average number of jumps completed is greater than one-half, then the
eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which
grade should be awarded 50 points?

Answers

Ok so, it all depends if Shane is likely to jump win over all of the other seventh graders then the eighth graders should earn the 50 points...

But if the roles are reversed the the Seventh graders should earn the 50 points.

There is not a full answer to what I am saying but from speculation you should be able to decide..

Answer:  

Step-by-step explanation:

Help help help help help please math I’m stuck

Answers

Answer:

A' (-2, -4)

B' (1, -8)

C' (-3, -16)

Step-by-step explanation:

Since k is the vertical scale factor, multiply all y coordinates by 4. All x coordinates will remain the same.

Look at the two equations:
-3x + 6 = 21
-3x + 6 < 21

Which statement best describes the process used to solve the equations?

O In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality

O In both cases, divide by -3 on both sides, but reverse the inequality sign when doing that for the inequality.

O The process is exactly the same for solving the equation and solving the inequality

O The process for solving the equation is entirely different from solving the inequality.​

Answers

the first one
you would use elimination to solve.

Either enter exact answer in terms of pie or 3.14

Answers

Answer:

18 π ≈ 56.52

Step-by-step explanation:

The formula for the volume of a cylinder is V = π · r² · h.

This cylinder has a height (h) of 2 and a radius (r) of 3.

Therefore the volume is:

V =  π · r² · h = π · 3² · 2 = 18 π ≈ 56.52.

7/8 * 1/2 =7/16 yes but wouldn't you have to divide it though like divide 16 / 7 = 3 3/7???

Answers

Think about it like this.
1/2 is a simplified version of 4/8.
So then putting it back into the original equation:
7/8 * 4/8 = 7/16 or 0.4375
The final answer would be 7/16 because there isn’t another way to simplify that.
I hope that makes sense, let me know if you have any questions.

Answer:

No.

Step-by-step explanation:

I think you're talking about simplifying/reducing the fraction.

You would not do that in this case because the numbers 7 and 16 have no common factors besides 1.

The answer is already in its lowest/reduced form. You do not divide.

Please let me know if this was not what you were talking about!

am 7. If the base of the parallelogram is equal to ir and the height is r, then what is the area of the parallelogram?

Answers

Step-by-step explanation:

The area of a parallelogram is just base x height, same as a rectangle.

[tex]a=b*h\\a=ir*r[/tex]

If ir is 2 separate variables rather than just 1, that can be simplified to this:

[tex]a=ir^2[/tex]

so hard! please help!

Answers

Answer:

please take a closer picture. :)

Step-by-step explanation:

$7,158.74

Maybe you should consider deleting this because you can see almost your full name.

The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
___ feet, ___ feet, ___ feet

Answers

Answer:

Step-by-step explanation:

Let the other leg = x

x^2 + 4^2 = (3x)^2

x^2 + 4^2 = 9x^2

4^2 = 9x^2 - x^2

16= 8x^2

16/8 = x^2

x^2 = 2

x = sqrt(2)

The lengths of the sides

x = sqrt(2)      

other side =4

hypotenuse = 3*sqrt(2)

x = 1.4

other side= 4

hypotenuse = 3*1.4142

hypotenuse = 4.2

is 15/6 less than 2 13/18

Answers

Answer:

no

Step-by-step explanation:

HELP QUICK!!! I Really need the answer l'll give you ten points.

Answers

45 because there is a three on the top so 15 times 3 is 45 :)
15 x 31 = 465 this is the greatest number because 15 x 32 = 480

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Hello :) hope you are doing well!!!!

WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOT THE LINE THAT PASSES THROUGH THE POINTS (2,-2) AND (-3,-17)

Answers

Answer:

y = 3x - 8

Step-by-step explanation:

to find slope the equation (y2 - y1) / (x2 - x1) is used

this means change of y over change of x

[-17 - (-2)] / (-3 - 2)

(-17 + 2) / -5

-15 / -5 = 3

the slope is 3

to find slope intercept form you must find the y intercept

using y = 3x + b and plugging things in we can find it

we can plug in the first point

-2 = 2(3) + b

b is your y intercept

-2 = 6 + b

b = -8

Answer:

y = 3/1x - 8

steps:

(2,-2) (-3, -17)

x1. y1. x2. y2

y2-y1

x2-x1

-17 - -2 = -15. = 3

-3-2. -5. 1

(2,-2)

y= mx + b

-2 = 3/1(2) + b

-2 = 6 + b

-6 -6

-8 = b

y = 3/1x - 8

All of the license plates in a particular state feature three letters followed by three digits (e.g. ABC 123). How many different license plate numbers are available to the state's Department of Motor Vehicles?

Answers

Step-by-step explanation:

for each letter position there are 26 choices.

and each of these 26 choices can be combined with the next 26 choices.

so, they alone are 26×26×26 = 26³ = 17,576

then we have the three number positions.

each has 10 options.

so, they are 10×10×10 = 10³ = 1000

and both combined are

26³×10³ = 17,576,000 different number plates

The number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.

What is fundamental counting principle?

The fundamental counting principle or basic principle of counting is a method or a rule used to calculate the total number of outcomes when two or more events are occurring together.

This principle states that the total number of outcomes of two or more independent events is the product of the number of outcomes of each individual event.

For each letter position there are 26 choices, and each of these 26 choices can be combined with the next 26 choices.

so, they alone are 26×26×26 = 26³ = 17,576

then we have the three number positions, each has 10 options.

so, they are 10×10×10 = 10³ = 1000

and both combined are;

26³×10³ = 17,576,000 different number plates.

Hence the number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.

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WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOR THE LINE THAT PASSES THROUGH THE POINT (-2,6) AND A SLOPE OF -1/4

Answers

It's a line so its equation is in the form : y = mx + b where m is the slope/gradient and b the y-intercept.

Since the slope m here is -1/4, we can write :

y = (-1/4)x + b

And since that line passes through the point x=-2, y=6, we can find the y-intercept by solving this equation of unknown b :

b + (-1/4)*(-2) = 6

b = 6 - (-1/4)*(-2)

b = 6 - (2/4)

b = 6 - 1/2

b = (12-1)/2 = 11/2

Finally, the equation is y = (-1/4)x + 11/2

1. What kind of sequence is this? 44, 57, 70, 83, .. arithmetic ,geometric,
both , neither ​

Answers

Answer:

arithmetic

Step-by-step explanation:

arithmetic

There is a common difference of 13 between each term.

Which of the following is the perimeter of a triangle with side lengths of 8 in, 9 in, and 11 in?

Answers

Answer:

the one with the perimeter of 28 in

Step-by-step explanation:

To calculate the perimeter of a triangle, add the length of its sides.

8 + 9 + 11 = 28in

a
2. During one month, a homeowner used 400 units of electricity and 120 units of gas for a total cost
of $73.60. The next month, 350 units of electricity and 200 units of gas were used for a total cost of
$72. Find the cost of a unit of gas.
Define variables:
Equation:
Equation:
Solution:

Answers

Answer:

Step-by-step explanation:

120G + 400E  = 73.60

            400E = 73.60 - 120G

                   E = 0.184 - 0.3G

                   200G + 350E = 72.00

200G + 350(0.184 - 0.3G) = 72.00

         200G + 64.4 - 105G = 72.00

                                   95G = 7.60

                                        G = $0.08/unit

A snowy owl weighs 64 ounces.
16 ounces (oz) = 1 pound (lb)
How many pounds does the owl weigh?

Answers

Answer:

4 pounds

Step-by-step explanation:

Add 16 64 divided

The snowy owl weighs is 4 pounds.

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been given that A snowy owl weighs 64 ounces.

16 ounces (oz) = 1 pound (lb)

We have to determine the number of pounds the owl weighs.

Let x pounds would be the owl weighs

We can write this as a ratio as

16 ounces (oz) : 1 pound (lb) = 64 ounces : x pounds

⇒ 16/1 = 64/x    

⇒ (16)(x) = 64

Divide each side by 16

⇒ x =64/16

⇒ x = 4

Therefore, the snowy owl weighs is 4 pounds.

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