Does the location of the first aid station actually fall in the middle of the park? Provide mathematical calculations to support your answer.

Answers

Answer 1

Answer:

The first aid station is at the middle of the park.

Step-by-step explanation:

Given

[tex](0,0) \to[/tex] Origin of Fun

[tex](-7, 6) \to[/tex] Quadratics in Motion

[tex](-2, 14) \to[/tex]Towers of Trigonometry

[tex](5,8) \to[/tex] The Food Equation

[tex](-1,7)\to[/tex] First aid station

Solving (a): Plot the above points

See attachment for plot

Solving (b): Determine if the first aid station is at the center of the park

From the plot, we have the opposite points to be:

(1) [tex](0,0)[/tex] and  [tex](-2, 14)[/tex]

(2) [tex](5,8)[/tex]  and [tex](-7, 6)[/tex]

Calculate midpoint using:

[tex]M = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]

For (1):

[tex]M = \frac{1}{2}(0 -2, 0 + 14)[/tex]

[tex]M = \frac{1}{2}(-2,14)[/tex]

[tex]M = (-1,7)[/tex]

For (2):

[tex]M = \frac{1}{2}(5 -7, 8 + 6)[/tex]

[tex]M = \frac{1}{2}(-2,14)[/tex]

[tex]M = (-1,7)[/tex]

From the above computation, we have midpoint to be:

[tex]M = (-1,7)[/tex]

Given that:

[tex](-1,7)\to[/tex] First aid station

We can conclude that the first aid station is at the middle of the park.

Does The Location Of The First Aid Station Actually Fall In The Middle Of The Park? Provide Mathematical

Related Questions

Solve for x. Rolind to the nearest hundredth.

Answers

Your answer is A) 4.41

cos(51°) = x/7
x = 7 • cos(51)
x = 4.4052 = 4.41

Which of the following rational functions is graphed below?

Answers

the answer is

C.IN MY OPINION

HOPE IT HELPED

Find the area and round it to the nearest hundredth if necessary

Answers

Answer:

16.28 squared inches

Step-by-step explanation:

Use the formula A = bh.

b = base

h = height

A = (4.4) (3.7)

A = 16.28

Find the value of x in the figure shown.

Answers

Answer:

x= 17

Step-by-step explanation:

Assuming that the total degree of this side is also 90, we'll subtract 90 with 39.

90 - 39= 51

since x is 3 times the total degree, we'll divide 51 by 3, leaving us with 17.

8.6 divided by 1,000 =
find the quotient. divide decimals by power of ten.

Answers

The android sjsjsben 86

hey! i’ll give brainliest please help.

Answers

Answer:

shah

:) hope this helps!

bag of candy contains 4 strawberry
flavored gumdrops, and 5 orange
flavored gumdrops. If Billy reaches in,
takes one out and eats it, and then 20
minutes later selects another and eats
that one as well, what is the probability
that they were both orange flavored
gumdrops? Leave answer as a fraction in simplest form.

Answers

There are 9 candies in total, with 5 being orange. Think of it. For the first grab, you have a 5/9 chance of it being orange flavored. Now there are 4 orange flavored candies, and 8 total candies in the bag. Grabbing a second candy, Billy has a 4/8 chance of grabbing an orange flavored candy. So your two fractions are...

5/9, 4/8

Can you combine these two fractions for a final answer?

when you see the word expect you will

Answers

Answer:

Um, yes? No clue what you're asking.

Answer:

could you try to rephrase that question? I don't think I understand it.

Function “p” is in the form y=ax^2 + C. If the values of “a” and “c” are both less than 0, which graph could represent “p”?

A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer:

B

Step-by-step explanation:

Since the value of a is less than 0, the graph of the parabola would be opening downwards. Because of this we can rule out option C. In a quadratic equation, c represents the y-intercept, and, in this case c is negative, meaning the y-intercept is less than 0. Only option B has a downward-opening curve and a y-intercept less than 0, so it is the answer.

Answer:

B. Graph B

--------------------

hope it helps...

have a great day!!!

Plssss help SUNDAY HOMEWORKKKKKKKKKKKK

Answers

Answer:

already did

Step-by-step explanation:

A rectangular rug feet long and wide feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20

Answers

Complete Question

A rectangular rug feet is x ft long and y feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20. Fill in the blanks to complete the sentence. The Area of the rug is greater than___but less than__.

Answer:

he Area of the rug is greater than  but less than [tex]441ft[/tex]

Step-by-step explanation:

From the question we are told that:

Perimeter [tex]P=60ft[/tex]

Value Range:Between 10-20

Generally the Area of the rug is greater than for values of X and Y greater than 9

Therefore Area is greater than from whole number 9

Generally the equation for Area greater than [tex]A_g[/tex] is mathematically given by

[tex]A_l=X*Y[/tex]

Where

[tex]X=9\\Y=9[/tex]

Therefore

[tex]A_l=X*Y[/tex]

[tex]A_l=9*9[/tex]

[tex]A_l=81ft[/tex]

Generally the Area of the rug is less than for values of X and Y less than 21

Therefore Area is less than from whole number 21

Generally the equation for Area greater than A_l is mathematically given by

[tex]A_g=X*Y[/tex]

Where

[tex]X=21\\Y=21[/tex]

Therefore

[tex]A_g=X*Y[/tex]

[tex]A_g=21*21[/tex]

[tex]A_g=441ft[/tex]

What is the domain of the function y = l n (x + 2)
A. x < -2
B. x > -2
C. x < 2
D. x > 2

Answers

Answer:

Option B.

Step-by-step explanation:

For a function f(x), the domain is the set of all the possible values of x that can be used in the function.

We know that the natural logarithm is only defined for positive real numbers.

So, the function:

Ln(x + 2)

Works always that

x + 2 > 0

So we can just solve this inequality for x, and that will give us the domain of the function.

To isolate x, we just need to subtract 2 in both sides of the inequality.

x + 2 - 2 > 0 - 2

x > - 2

This is the domain of the function.

The correct option is B.

Answer:

b.x>-2

Step-by-step explanation:

edge 2021

HELPPPPPPPPPPP
Find the volume of the cone.
Either enter an exact answer in terms of
π
πpi or use
3.14
πpi and round your final answer to the nearest hundredth.

Answers

Answer:

V = 18.84 units³

Step-by-step explanation:

The formula for the volume of a cone of base radius r and height h is

V = (1/3)(pi)(r²)(h).

Here, with pi = 3.14, r = 3 and h = 2, we get:

V = 18.84 units³

someone please answer this and dont just take my points and run without giving me the answer

Answers

Answer:

So the answer is v=112 sa=165

Step-by-step explanation:

Try using formulas such as 1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

and

A=12bh

Answer: v=112 sa=165

Step-by-step explanation: I took your points and now I'm running away ._.

Show the given equation in a graph
x + y = 5​

Answers

Answer:

you us the equation given and plot points in the graph that are given with the equation.

A circle has a circumference of 10 feet. What is the
diameter?

Answers

the diameter would be 3.18
um the diameter would be 3.18

Find the missing value for the parallelogram

Answers

Answer:

y = 85°

z = 35°

x = 60°

Step-by-step explanation:

y) 180 - 120 = 60, therefore:

180 - (35 + 60)

=> y = 85

z)

=> z = 35

x)

180 - (35 + 85)

=> x = 60

Hope this helps!

Answer:

to find y

you find the bottom right angle

which is 180-120 = 60

then you do 60+35 = 95

then 180 -95 because the sum of all angles in a triangle is 180

so the answer is 85 = y

There is a rule where the alternate angles between the parallel lines are identical

if y = 85 that means that the angle next to 35 is 85

same for angle z, if the top right 35, that means that angle z = 35

Now you add 35 + 85 = 120

180 - 120 = 60 = angle x

In summary

x=60

y=85

z=35

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

ahhhh someone help pls!!!!

Answers

Answer:

I may be wrong but I think it's 90 I may be wrong but hey I tryed.

Step-by-step explanation:

The Hu family goes out for lunch, and the price of the meal is $52. The sales tax on the meal is 7%, and the family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?

Answers

Answer:

60.04

Step-by-step explanation:

I got the tax amount and tip amount and added them.

Answer:

Step-by-step explanation:

cost of meal=$52

tax=52×7 %=3.64$

tip=52×20%=10.40$

total cost of meal=52+3.64+10.40=66.04 $

will give brainlyist if quick Which of the equations is graphed below?

Answers

Answer:

c

Step-by-step explanation:

An experiment consists of spinning the spinners shown and adding the numbers together. Complete the array.

Answers

Answer:

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {2} & {3} & {4} & {5} & {2} & {3} & {4} & {5} & {6} & {3} & {4} & {5} & {6} & {7} & {4} & {5} & {6} & {6} & {8} \ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]Spinner = \{1,2,3,4\}[/tex]

Array:

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {} & { } & { } & {5} & {2} & { } & {} & { } & { } & {3} & {4} & { } & {} & { } & {4} & { } & {6} & { } & {} \ \end{array}[/tex]

Required

Complete the blanks

To do this, we simply add up corresponding row and column elements.

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {} & { } & { } & {5} & {2} & { } & {} & { } & { } & {3} & {4} & { } & {} & { } & {4} & { } & {6} & { } & {} \ \end{array}[/tex]

So, we have:

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {1+1} & {1+2 } & {1+3 } & {4} & {2} & {2+1 } & {2+2} & {2+3 } & {2+4 } & {3} & {4} & {3+2 } & {3+3} & {3+4 } & {4} & {4+1 } & {6} & {4+3 } & {4+4} \ \end{array}[/tex]

Add

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {2} & {3} & {4} & {5} & {2} & {3} & {4} & {5} & {6} & {3} & {4} & {5} & {6} & {7} & {4} & {5} & {6} & {6} & {8} \ \end{array}[/tex]

Declan says that any number n, the product 4 times n is greater than 4. Which value of n shows why declan is incorrect

Answers

Answer: [tex]n>1[/tex]

Step-by-step explanation:

Given

The product of 4 times n is greater than 4 i.e.

[tex]\Rightarrow 4\times n>4\\\text{Dividing both side of inequality by 4}\\\\\Rightarrow \dfrac{4n}{4}>\dfrac{4}{4}\\\\\Rightarrow n>1[/tex]

It can be said that the value of n must be greater than 1.

7. Jeremiah is going to the local arcade with $32 in his wallet to spend. He plans to bowl one game and play some arcade games. A game of bowling costs $11, the bowling shoe rental is $3.75, and the arcade games cost $0.75 each. Write and solve an inequality to find the number of arcade games Jeremiah can play.​

Answers

Answer:

x < 25

Step-by-step explanation:

ayee

Help please! i don't understand what the questoin is asking me to put

Answers

Answer:

Bx72

Step-by-step explanation:

Hope this helps

Answer:

it is asking what name of this solution is and how to solve it

Step-by-step explanation:

Simplify √14q times 2√4q

Answers




4q√14 hope this help


Answer:

[tex]4\sqrt{14} q^{2}[/tex]

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Which best compares the phases of matter to marbles in a tray? A solid is like the tray being shaken and the marbles moving around it, and a liquid is like the tray being shaken slowly and all the marbles moving in their positions. A solid is like the tray being shaken slowly and all the marbles moving in their positions, a liquid is like the tray being shaken and the marbles moving around it, and a gas is like the tray being shaken hard and the marbles moving vigorously around it. A gas is like the tray being shaken slowly and all the marbles moving in their positions, and a solid is like the tray being shaken hard and the marbles moving vigorously around it. A liquid is like the tray being shaken hard and the marbles moving vigorously around it, and a gas is like the tray being shaken slowly and all the marbles moving in their positions.

Answers

Answer:

A solid is like the tray being shaken slowly and all the marbles moving in their positions, a liquid is like the tray being shaken and the marbles moving around it, and a gas is like the tray being shaken hard and the marbles moving vigorously around it.

Step-by-step explanation:

In science, matter can be defined as anything that has mass and occupies space. Any physical object that is found on earth is typically composed of matter. Matter are known to be made up of atoms and as a result has the property of existing in states.

Generally, matter exists in three (3) distinct or classical phases and these are;

1. Solid: it is the state of matter in which the physical substance has a definite shape and fixed volume but not compressible. Examples of solids are pen, screwdriver, television, car etc.

2. Liquid: it is the state of matter in which the physical substance can be poured and it takes the shape of its container. Also, liquids generally have a definite volume. Examples of liquids are urine, water, milk, blood etc.

3. Gas: it is the state of matter in which the physical substance has no definite shape or volume and as a result fills all available space. Also, gases are easily compressible and can flow. Examples of gases are hydrogen, oxygen, argon, nitrogen etc.

Hence, the statement which best compares the various phase of matter to marbles in a tray is that,

a. All the marbles which are solid move in their positions when the tray is shaken slowly.

b. When the tray is being shaken and the marbles moves around it, this represents a liquid.

c. When the marbles move vigorously around the tray as it's being shaken quickly, this represents the a gas or gaseous state.

Answer:

it's B.

A solid is like the tray being shaken slowly and all the marbles moving in their positions, a liquid is like the tray being shaken and the marbles moving around it, and a gas is like the tray being shaken hard and the marbles moving vigorously around it.

Which expression is equivalent to 16x4 – 64? and explain the answer plzz​

Answers

Answer:

4(4x1-16)

Hope this helps

Have a good day :)

PS I disibuted 4 to 4x1 to get 16 and 4 to -16 to get -64

Step-by-step explanation:

Can someone help me ASAP

Answers

Answer:

48 cm^2

Step-by-step explanation:

The area of a trapezoid is calculated using the following formula :

(a+b)2*h (a: base, b: base, h: height)

(8+16)/2*4 = 48 cm^2

Dentro de 15 años la edad de Carlos será el doble de la edad de Ana. Hace 6 años la edad de Carlos era el triple de la de Ana. Calcular la suma de sus edades y dar como respuesta la suma de cifras de este resultado

Answers

Answer:

Ana tiene 27 años mientras que Carlos, tiene 69 años

La suma de las edades es: 27+69 = 96

La suma de las cifras de este resultado es 9+6 = 15

Step-by-step explanation:

Vamos a hacer una linea temporal para ubicarnos en tiempo.

AÑO 2021, Ana tiene una edad A mientras que Carlos tiene una edad C

15 años para adelante

AÑO 2036, la edad de Carlos es el doble de la de Ana

C = 2A

Si nos vamos 6 años para atrás

AÑO 2015, la edad de Carlos es el triple de la de Ana

C = 3A

Como de 2015 a 2036 pasan 21 años, podemos plantear que

La edad de Carlos + 21  va a ser 2 veces la edad de Ana, traducido:

C + 21 = 2A, pero en 2015, ya sabemos que la edad de Carlos es el triple de la de Ana, entonces:

3A + 21 = 2A. Si despejamos:

3A - 2A = -21

A = |21|  Ésta es la edad de Ana. (Ponemos valor absoluto porque una edad no puede ir negativa.

Si Ana en 2014 tiene 21 años, Carlos tiene 63 (el triple) por lo que sumamos 6 años y llegamos al presente:

En 2021, Ana tiene 27 años (21+6), mientras que Carlos tiene 69 (63+6). Edades actuales.

Nos corremos 15 años al futuro, por lo que llegamos al año 2036.

Carlos pasa a tener 84 años (69+15) y Ana, 42 (27+15) donde verificamos que la edad de Carlos, es el doble que la de Ana, 84/42 = 2.

Finalmente la suma de las edades es: 27+69 = 96

La suma de las cifras de este resultado es 9+6 = 15

How many solutions does the equation
-2(x + 3) = 2x - (5 – x) have?

Answers

Step-by-step explanation:

-2(x + 3) = 2x - (5 – x)

-2x+6= 2x-5+x

-2x+6=3x-5

-2x-3x=-5-6

-5x=-11

x= 11/5

( 1 solution)

Answer:

Solution given:

-2(x + 3) = 2x - (5 – x)

-2x-6=2x-5+x

-6+5=2x+2x+x

5x=-1

x=[tex] \frac{-1}{5} [/tex]

It has one Solution.

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