A state park is designed in a circular pattern as shown in the diagram. Marta rides her bike along the circular path from the ranger station to the pool. How far does she ride? Round your answer to the nearest tenth of a mile. Show your work please

A State Park Is Designed In A Circular Pattern As Shown In The Diagram. Marta Rides Her Bike Along The

Answers

Answer 1

Answer:

2.3 miles

Step-by-step explanation:

Given by the circular pattern as shown in the diagram:

Ranger station to Nature Center = 90°

Nature center to petting zoo= 40°

Petting zoo to Tennis court =120°

Tennis court to Pool = 65°

Pool to Ranger station= 45°

The radius of the circular pattern = 1 mile

Formula:

Arc length = 2πr angle / 360° where r is radius and π=3.14

Solution:

Thus,

Arc length = 2×3.14×1×90°/360°

Arc length=2×3.14×1×1/4 =1.57 miles

Distance from Nature Center to Petting Zoo

Arc length= 2×3.14×1×40°/360°

Arc length= 2×3.14×1×1/9 = 0.70 miles

Total =1.57+0.70 =2.27 miles

Answer to the nearest tenth = 2.3 miles

For more information:

https://brainly.com/question/11692709

~lenvy~


Related Questions

What is the absolute deviation of 30 in this data set?

{26, 35, 27, 30, 22}

2
3
5
8​

Answers

Answer:

The answer is 2

Step-by-step explanation:

I took the k12 test. Hope this helps!

The correct answer is 2

What is mean absolute deviation?The mean absolute deviation  is a measure of variability that indicates the average distance between observations and their mean.

How to calculate the MAD (Mean absolute deviation)?Take the sum of the absolute value Divide the sum of the absolute value by  the total number of values in the data set. Substract the mean after dividing the sum of the absolute value by  the total number of values in the data set.

Now ,  taking the data {26,35,27,30,22}

Adding the data

26+35+27+30+22 = 140

Now , Divide 140 by the total number of values in data set is 5

Therefore,  140/5 = 28

The mean is 28

Now substract the mean from the absolute deviation of 30

that is  30-28 = 2

Hence , The absolute deviation of 30 is data set is 2.

Learn about the absolute deviation below

https://brainly.com/question/447169

#SPJ2

a. Find the slope of the line that passes through these points.

The slope is
(Type an integer or a simplified fraction.)

b. Is the slope between (1,4) And (3,12) the same as the slope between (3,12) and (4,16)?
Explain.


O A. Yes. Both slopes are equal to
(Type an integer or a simplified fraction.)

O B. No. The slope between (1,4) and (3,12) is equal to (4,16)

. The slope between (3,12) and
th

Answers

slope formula :  [tex]\bold{ \sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

a.                          coordinates : (3,12) and (4,16)

[tex]\sf \rightarrow \dfrac{16-12}{4-3}[/tex]

[tex]\sf \rightarrow \dfrac{4}{1}[/tex]

[tex]\sf \rightarrow 4[/tex]

b.                          coordinates : (1,4) and (3,12)

[tex]\sf \rightarrow \dfrac{12-4}{3-1}[/tex]

[tex]\sf \rightarrow \dfrac{8}{2}[/tex]

[tex]\sf \rightarrow 4[/tex]

⇒ A. Yes. Both slopes are equal to 4

Evaluate 2-(-4) + (-g) where y= 7.

Answers

Answer:

-1

Step-by-step explanation:

2 - (-4) + (-y)

Substitute y = 7 to the expression:

2 - (-4) + (-7) = 2 + 4 - 7 = 6 - 7 = -1

Solve 4g - 5 ≤ 11 for g.

Answers

Answer:

g ≤ 4

Step-by-step explanation:

4g - 5 ≤ 11

Add 5 on both sides,

4g ≤ 11 + 5

4g ≤ 16

Divide 4 on both sides,

g ≤ 4

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

answer "Less than"

Step-by-step explanation:

a) 1 2/3 = 5/3 = 1.666 ...

b) 1 5/6 = 11/6 = 1.833 ...

a < b

Answer:

1 5/6 > 1 2/3

Step-by-step explanation:

=>        1 5/6 = (1*6)+5/6

=>        1 5/6 = 6+5/6

=>        1 5/6 = 11/6

so like that, 1 2/3 = 5/3

now the denominators should be the same

for that,

5*2/3*2 = 10/6

11/6 and 10/6

=>          11/6 > 10/6

=>          1 5/6 > 1 2/3

geometry help me please

Answers

Answer:

2448

Step-by-step explanation:

because 12×12=144×17=2448

Find the area if the trapezoid. THANK YOU!

Answers

Answer:

4x^3 - 22x^2 + 6x + 20

Step-by-step explanation:

((b1+b2)/2)(h)

A building has a height of 16 1/4 meters. Each floor in the building has a height of 3 1/4meters.
How many floors are in the building?

Answers

Answer:

5

Step-by-step explanation:

16 1/4 divided 3 1/4

Name the image of C(6, –4) under a rotation 90 counter-clockwise about the origin.
a. C(–4, –6)
b. C(6, 4)
c. C(–6, –4)
d. C(4, 6)

Answers

Answer:

d.) (4,6)

Step-by-step explanation:

(-y,x) is the formula for a 90 counter-clockwise rotation.

So, it's (4,6)

Please show the steps as well.​

Answers

Answer:

x = 4

Step-by-step explanation:

Rewrite the equation as

[tex]2^{x -1}=8\\[/tex][tex]2^{x -1}=2^3[/tex]

Powers are equal if bases are same

[tex]x -1=3[/tex][tex]x=3+1[/tex][tex]x=4[/tex]

~Hello! I will try to help you!

[tex] \Rightarrow \sf {2}^{x - 1} = 8[/tex]

»Convert the number 8 to a power of 2, then:-

[tex] \Rightarrow \sf {2}^{x - 1} = {2}^{3} [/tex]

»Because the bases on the right and left are the same, we will cross out the bases to produce a linear equation.

[tex] \Rightarrow \sf \cancel2 {}^{x - 1} = { \cancel2}^{3} [/tex]

»Let's find the value of x in the above equation!

[tex] \Rightarrow \sf x - 1 = 3 \\ \Rightarrow \sf x = 3 + 1 \\ \Rightarrow \bf x = 4[/tex]

With this it's done!

Proving the Sum of the Interior Angle Measures of a Triangle Is 180°

Answers

Answer:

okay that is great.......?

answer:

the full answers for it

Step-by-step explanation:

Write an equivalent expression.
- 2(8+79)
Choose the correct answer below.
OA. -2(8 + 7g) = - 16 + 7g
OB. – 2(8 + 7g) = 7g - 16
OC. – 2(8 + 7g) = - 2 - 14g
OD. -2(8 +79) = - 16 - 14g
-
-


Please help

Answers

Answer:

D

Step-by-step explanation:

You just have to expand and you'll get the answer.

HELP!:

x^2 + 6x + 9 = ?

This is a factorizing question!! I need help, quickly!

Answers

Answer:

nasa pic yung answer

Step-by-step explanation:

hope its help

correct me if im wrong

Answer:

x=-3 x=-3

Step-by-step explanation:

You have the equation x^2+6x+9=0. So we are tying to find two terms that add to 6 but multiply to 9. Those numbers are 3 and 3. So now we have x^2+3x+3x+9=0. Then factor it to get (x+3) and (x+3) then to isolate x do x+3=0, x=-3 (move 3 to the other side to get x=-3).

What percent of 72 is 9?
O 1/8% O 1 1/4% O 12 1/2% O 125%

Answers

Answer:

1/8%

Step-by-step explanation:

just divide the 72 and 9 , the 9 divide it as a percentage

Step-by-step explanation:

100% = 72

1% = 100%/100 = 72/100 = 0.72

9 is that many % as 1% fits into it.

so,

9/0.72 = 12.5% = 12 1/2 %

the third answer option is correct.

the gravitational potential energy of an object is given by the formula p= mfg. which equation is correctly solved for the height, h?

a. h= p + mg
b. h= p-mg
c. h= p/(mg)
d. h=pmg

Answers

Step-by-step explanation:

c. h= p/(mg)

HOPE it helps

1 doller bill and a 10 doller bill and for quarters makes what?

Answers

12 dollars.

1+10=11
Then 4 quarters is $1 so you then add a dollar to get
$12

Answer:

12$

Step-by-step explanation:

1 plus 10 from the singular dollar bill and the 10 dollar bill now we have 11 then we add one because there are 4 quarters which are 1 dollar that is why we have 12 dollars

What are the solution(s) for the quadratic equation?

Y=x^2-2x+1

Answers

[tex]\\ \rm\rightarrowtail x^2-2x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x^2-x-x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x(x-1)-1(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail (x-1)(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail x=1[/tex]

Paint costs $3.99 per can and brushes cost $2.50 each. The sales tax rate is 5%. Which expression represents the total cost of p cans of paint and b paint brushes


Answers

Multiply the price of each by the quantity purchased, add those together, then multiy the total by the sales tax.


Total = 1.05(3.99p + 2.50b)

what is the answer i need help

Answers

Answer:

[tex]588mm^3[/tex]

Step-by-step explanation:

Each side of the blue pyramid is 3 times the size of the red pyramid.

Instead of just dividing by 3 for the volume we must divide by 9 instead because we're working in cubes.

log2 (10x+5) - log2 5 =5
PLEASE SOLVE AND SHOW WORK
THANKS A TON

Answers

Answer:

[tex]\sf x =15.5[/tex]

Step-by-step explanation:

[tex]\sf log_2\left(10x+5\right)\:-\:log_2\:5\:=5[/tex]

[tex]\sf log_2\left(10x+5\right)\:-\:log_2\:5\:=log_2 (32)[/tex]

[tex]\sf log_2\left\dfrac{(10x+5)}{5} =log_2 (32)[/tex]

[tex]\sf 2x+1 =32[/tex]

[tex]\sf 2x+1 -1=32-1[/tex]

[tex]\sf 2x =31[/tex]

[tex]\sf x =15.5[/tex]

Answer:

Step-by-step explanation:

[tex]log_{a}[/tex] [tex]x_{1}[/tex] - [tex]log_{a}[/tex] [tex]x_{2}[/tex] = [tex]log_{a}[/tex] [tex]\frac{x_{1} }{x_{2} }[/tex]

[tex]log_{a}[/tex] x = b ⇒ [tex]a^{b}[/tex] = x

~~~~~~~~~~~~~~

[tex]log_{2} (10x+5)[/tex] - [tex]log_{2} 5[/tex] = 5

[tex]log_{2} \frac{10x+5}{5}[/tex] = 5

[tex]\frac{10x+5}{5}[/tex] = [tex]2^{5}[/tex]

10x + 5 = 32 × 5

2x + 1 = 32

x = 15.5

The mass of an ant is 5 x 10-3 grams. The mass of a bee is 1 x 10-¹ grams. Based on this information, how many ants equal the mass of a bee?​

Answers

20 ants equals to mass of the bee if the mass of an ant is 5 x 10-3 grams and the mass of a bee is 1 x 10-¹ grams.

Ratio and proportion

GIven the following parameters from the question

Mass of an ant = 5 x 10⁻³ grams

Mass of the bee = 1 *  10⁻¹ grams

Find the ratio of both masses

Ratio =  1 x10⁻¹ /5 x 10⁻³/

Ratin = 0.1/0.005
Ratio = 20

This shows that 20 ants equals to mass of the bee

Learn more on ratio and proportion here: https://brainly.com/question/19994681

You are deciding between First National Bank and Liberty Bank. They both offer checking and savings accounts. First National charges a $10 fee to receive checks and charges $2.50 per ATM transaction. Liberty Bank has no check fee but charges $3.25 per ATM transaction. How many times do you need to be charged an ATM fee before you are paying the same amount of money in fees at both banks?
Step 1: Define your variables - Look at the question statement. What are you being asked to find?



Step 2: Write 2 equations that use those unknown variables



Step 3: Solve the system of equations



Step 4: State your solution. What does it mean in the context of the word problem?

Answers

Your answer is gonna be 2.50/40km so it’s gonna be 12$

Someone Help me please

Answers

The answer is 35 degrees

Mia and Carlos are hiking on a trail where they start 16 miles apart. If Mia can average 2.3 miles per hour while hiking and Carlos can average 2.5 miles per hour. How long will it take for them to meet up?

Answers

Answer:

I'm not sure but if this is on a calculus paper, this may put you on the right track?

Step-by-step explanation:

definate integral from 2.3 to 2.5 would equal 3.2, i don't know what to do with that information but i hope that helps you.

A and B are complementary. If B = 26°, what is the measure of A?

26°
154°
64°
74°

Answers

Answer:

64°

Step-by-step explanation:

      When angles are complementary, they can be added together to equal 90°.

90° - 26° = 64°

           The measure of angle A is 64°.

ILL GIVE BRAINLIEST. ANSWER ASAP

Answers

Answer:

283 m^2

Step-by-step explanation:

To find the area of a circle, you need to times pi, in this case 3.14, by the radius,9.5 here, squared.

A= π (r^2)

2x+5=12 pleas and thank you :D

Answers

2x+5=12
12-5=2x
2x=7
X=3.5

Answer:

x= 7/2

Step-by-step explanation:

move the constant 2x+5=12 to make it 2x=12-5.

subtract 12-5= 7

2x=7 divide both sides

x=7/2

i did try my best hope this helps :)

.For any positive integer n, prove that n^3 - n is divisible by 6. ​

Answers

Answer:

Step-by-step explanation:

lily wants to find out how many students in her school enjoy pizza. describe a method she could use to get a representative sample without asking every single student in her school

Answers

Using sampling concepts, it is found that she could use systematic sampling, asking one out of every 10 students for example, as long as it involves students of all possible groups.

How are samples classified?

Samples may be classified as:

Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.

In this problem, the most viable type is a systematic sample, asking one out of every 10 students for example, as long as it involves students of all possible groups.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Solve each equation.

Answers

Equation 1: x=32

Equation 2: y=28

Answer:

x  = 32

x = 28

Step-by-step explanation: hope this helps

Other Questions
PLEASE HURRY The red dots represent oxygen molecules in this diagram. This diagram shows __________.facilitation diffusionosmosisdiffusionexocytosisendocytosis Why would a producer conduct a marginal analysis?A. To understand the type of taxes paid on a good or serviceB. To determine whether a price increase will change what a consumer will buyC. To predict the amount of environmental pollution caused by a manufacturerD. To suggest a way to package a product so that it causes less pollution 20 POINTS TO WHO ANSWERS MY QUESTIONWhat are some details from the essay "Names/Nombres" that support the central idea and Alvarez's feelings on the central idea? List at least three examples of text from the essay. A 25-year, $1,000 par value bond has an 8.5% annual coupon. The bond currently sells for $875. If the yield to maturity remains at its current rate, what will the price be 5 years from now? please do it fast!!!!11 for 40 points.1. In the 1850s, the debate over slavery reached a new height over the territories of Kansas and Nebraska. Answer the following questions about the debate over Kansas and Nebraska.a. How did leaders in the South react when California joined the United States in 1850? Why did they react this way?b. In 1854, the newest territories being debated for statehood were Kansas and Nebraska. Why did leaders in the North believe they should be admitted as free states? Why did leaders in the South fear this outcome?2. Stephen Douglas proposed the Kansas-Nebraska Act in 1854. Answer two questions about the Kansas-Nebraska Act.a. What were the two main outcomes of the act?b. What did Douglas hope the Kansas-Nebraska Act would achieve?3. In response to the passage of the Kansas-Nebraska Act, Americans from the North and the South traveled to the territories to influence the vote. The violent conflict that resulted is known as "Bleeding Kansas." Put key events from the conflict in order by numbering them 1 through 6.Order EventsProslavery men, called "border ruffians," traveled to Kansas to vote and threaten people who opposed slavery. Leaders proposed to allow slavery in Kansas.People in Kansas and Nebraska prepared to vote on whether to allow slavery in their territories. People expected Nebraska to become a free state and Kansas to become a slave state.Proslavery men attacked the headquarters of antislavery organizers in Lawrence, Kansas. In response, John Brown led an attack on a proslavery town, killing five men.Nebraska voted to become a free territory.Members of Congress argued over the voting issues in Kansas. Proslavery senator Preston Brooks attacked antislavery senator Charles Sumner.Kansas outlawed slavery, but the nation was still bitterly divided over the issue.4. The Dred Scott decision created even more conflict between free states and slave states. Answer three questions about Dred Scott's case and the Supreme Court's decision.a. Who was Dred Scott? What was his court case about?b. What was the Supreme Court's decision in the Dred Scott case? Why did it make this decision?c. How did the Supreme Court's decision affect the United States? Fathers can only pass X-linked traits to their _[blank1]_, while mothers can pass X- linked traits to their _[blank2]_. What option correctly completes this sentence. daughters; daughters only daughters; daughters only sons; sons and daughters sons; sons and daughters daughters; sons and daughters daughters; sons and daughters sons; sons only helppp plsss. i have to turn this in asap What year did the united states first stablish a federal army what is a informal business structure Who gained control of the Communist party by purging it of anyone whooposed him? What is the fifth step in the risk management process?. What were presidents Jeffersons beliefs and how did he act on them? Each of two computers can process bills at 160/min a newer model can process bills at 200/min after the first two computers have worked 1.5 min they are joined by the third computer how long will it take fromthe time the first two computers are turned on to process 1780 Complete the curved arrow mechanism for the reaction of 4-methylpentanenitrile and lialh4, followed by the addition of acid to give the major product How did the expansion of the romain republic affec small farmers? 2. A student wanted to find the height h of a statue of a pineapplein Nambour, Australia. She measured the pineapple's shadowand her own shadow. The student's height is 5 feet 4 inches.What is the height of the pineapple? Which of the following best describes the part of the blood composition that forms clots around wounds to prevent blood loss? Plasma Platelets White blood cells Red blood cells The Sky Woman fell through a hole created when her husband was getting bark and roots from the sacred____. Group of answer choices Plant Bush House Tree how frida kahlo died? what are chemical reaction