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.

Pleaseeee help 50 points I don't know how to make you brainliest but include that with the answer and I will make you brainliest plzz

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

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

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

Learn more here:

https://brainly.com/question/4451516

https://brainly.com/question/16958031

A man is walking at 7km/hr. How long will he take to cover a distance of 42km?

How do you apply the distrubtive property to simplify the expression. -3(6+2

Help??? Lma.o sorry I need the answer asap

Sam says that the length of diagonal SQ is two times the length of diagonal OM.

Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.

brainiest to whoever correct

What is the value of x if a slope is 2, and a line passing through (x, 3) and (1,5).

Two points are shown on the number line. Which value is best represented by the point F? 

Three friends do
Word together for 5 days. The first friend does it alone for 15days. The second friend does it alone for 12 days.
many days does the third do it alone for?

Sally Jones had a policy with a $250 deductible which paid 80% of her covered charges less deductible. She had medical expenses of $18,240.00. What is S

What is the final cost of a $40 item after a 8% tax is applied

pls help with number 12 i will give brainliest

Use proportional reasoning to solve problems involving ratios. (Activity Sheet #4 & 5)

The size of a television is the length of the diagonal of its screen in inches. The

aspect ratio of the screens of older televisions is 4:3, while the aspect ratio of

newer wide-screen televisions is 16:9. Find the width and height of an older 20-

inch television whose screen has an aspect ratio of 4:3. Show all work to receive

credit.

Which of the following statements best describes why the given expression is not simplified?
3x^2–2x+1 - 4x - 6

as an estimation we are told 5 miles is 8km convert 40 miles to km

Select whether the equation has a solution or not.
√5-7
no roots
O roots

,5³-(2 la puterea 35 x 3 la puterea 36 x cinci la puterea 14)x(2 x 3 la puterea 4x 5 la puterea 19).2 la puterea 4 (d din poza)

Find Y if f(x)=g(x),please help me to answer this problem.

Value of x 2(x-4)=10

Write recursive and explicit formula for the arithmetic sequence 10, 40, 70,100,130

What is the total number of possible four-card poker hands if the hand contains exactly one heart?

what’s the correct answer??? i will give brainlist

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:

How much time will it take Wilson to finish painting the bookcase? Explain.

15 points plz answer soon

Questions
Fine the area of the triangle whose vertices are (-2,2), (1,-2) and (0,2).

Answer:


a) 16
b) 8
c) 4
d) 2

Mary was asleep from 9:pm to 5:am. How long was she asleep for?​

Find the measure of each interior angle of a polygon having 9 sides​

The swimming club need to raise £135 for transport to the swimming gala.

They buy 20 tracksuits for £15.98 each and will sell them to raise money.

What percentage profit should they add to the cost of the tracksuits to raise the £135 they need?

A truck is carrying
10^3
bushels of apples,
10^2
bushels of grapes, and
10^1
bushels of oranges. Each bushel of apples weighs 32 pounds, each bushel of grapes weighs 25 pounds, and each bushel of oranges weighs 42 pounds. What is the total weight of the fruit in pounds?

A.
3,592 pounds

B.
5,742 pounds

C.
32,299 pounds

D.
34,920 pounds

22 divided by 2,737 include the remainder