The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 \text{ meters}20 meters20, start text, space, m, e, t, e, r, s, end text. One penguin swims half way around the island before hopping out.
How far did the penguin swim?
Give your answer in terms of pi.

Answers

Answer 1

Answer:

31.42 m

Step-by-step explanation:

Since, the path is circular :

The distance traveled can be I tin by taking the Circumference of the path :

Circumference, C = πd

d = diameter = 20 meters

C = π * 20

Since penguin swam. Only halfway around the island.

Hence, distance traveled = 1/2 * C

= 1/2 * 20π

= 31.42 m


Related Questions

Find the solution of the system of equations.
x+3y= −10
9x+9y= −18

Answers

Answer:

x = 2, y = -4

Step-by-step explanation:

Answer:

Substitution method answer: x=2, y=-4 (2,-4)

Step-by-step explanation:

PLEASE HELP ONLY GENIUSES! THANK YOU IN ADVANCE!

Answers

Answer:

By trigonometric properties that is NOT an identity By trigonometric properties this is an identify

50% of 90 change to decimal

Answers

Answer:

0.5 or 0.45

Step-by-step explanation:

this needs to be 20 characters long

Find the value of x.
Pleaseeee I needddd helpppp!!!!!!

Answers

Answer:

x = 40

Step-by-step explanation:

Measure of an external angle of a circle = ½(difference of the intercepted arcs)

This means that:

½(PQ - RS) = m<T

m<T = x/2

PQ = (x + 70)°

RS = (x + 30)°

Plug in the values

½((x + 70) - (x + 30)) = x/2

½(x + 70 - x - 30) = x/2

½(x - x + 70 - 30) = x/2

½(0 + 40) = x/2

½(40) = x/2

20 = x/2

Multiply both sides by 2

20*2 = x

40 = x

x = 40

please help me out with this​

Answers

Answer:

1) Since 4(5+x) is 4*5+4*x, and because 4*5+4*x is

For the function f(x) = 3x
Find f(4)

Answers

f(4)=3(4)
f(4)=12

Hope this helps :)

Answer:

F(4) = 3*4 = 12

Step-by-step explanation:

A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450. What is the interest rate percentage? Round the answer to the nearest hundredth.

Answers

         Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.

Rule for the continuous compounding: Expression for the final amount comounded continuously is given by,

         Final amount = [tex]Pe^{rt}[/tex]

         Here, P = Principal amount

                    r = Rate of interest

                    t = Duration of investment

Given in the question,

P = $181.25

t = 7 years

Final amount = $1450

Substitute these values in the expression,

[tex]1450=181.25e^{7r}[/tex]

[tex]e^{7r}=8[/tex]

[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]

[tex]7r=2.07944[/tex]

[tex]r=0.2971[/tex]

[tex]r=29.71\%[/tex]

       Therefore, rate of intereset for the investment is 29.71%.

Learn more about continuous compounding here,

https://brainly.com/question/13079114?referrer=searchResults

The cost of renting an apartment in the downtown city area is increasing by 4% each year. Currently, the average rent for
a one-bedroom apartment is $500.

Answers

Answer:500

Step-by-step explanation:

Help with math!?!

Please only answer if you know the answer, the comment section is right below. Please don't waste my points!

Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.

The image is down below. Show work! Thanks!

Answers

Answer:

x = 7√3, y = 14x = √3, y = 3

Step-by-step explanation:

Use the property of 30-60-90 degree right triangles

They have the ratio of  sides from smallest to greatest: 1: √3 : 2

The top triangle

y = 2*7 = 14x = 7√3

The bottom triangle

Acute angles n and 2n makes them 30° and 60°

x = 1/2*2√3 = √3y = √3*√3 = 3

Answer:

x = 1/2*2√3 = √3

y = √3*√3 = 3

CAN SOMEONE HELP ME PLZZZZZZZZZZZZ

Answers

Answer:

C

Step-by-step explanation:

Have an amazing day :)
Will give brainlst! Pls help

Answers

Answer:

C. As the Test Score increases, the Social media time decreases

Step-by-step explanation:

D. Yes, linear because if I were to draw a line on the graph most of the points on the scatter plots would match?

Answer:

C. As the Social media time increases, the Test score decreases.

D. Yes, I think the relationship between the test scores and social media time appears liner, because linear lines tend to be straight, and has a constant rate of change. In this case, there is a constant rate of change, and the plot points aren't all over the place.

Explanation (sort of):

Look at the graph going from left to right; You will see that the plot points continue to "fall" closer to the x-axis. This is why "Test scores" are decreasing instead of "Social media time", unlike what someone else answered with.

y= 2x-3
y=-x+9
solve the system of linear equations by graphing

Answers

Answer:

x=4 or -4

y=5

Step-by-step explanation:

2x-3=x+9

=3x=12

=x=12/3

x=4( could also be -4)

y=(4x2)-3

y=5

solve for n:
3n > 6. ​

Answers

Answer:

n > 2

Step-by-step explanation:

Karla says following table represents a function,but Robert does not agree Who is correct

Answers

Robert is correct don’t listen to me I jus wanna get my questions answered

Baka borrows $3,000 to buy a piano. The simple
interest owed at the end of 2 years is $540. what is the annual interest rate on Bakas loan for the piano?

a. 4.5%
b. 9%
c. 11.11%
d. 18%

please answer asap!

Answers

B. Annually 2 years would equal 9%. 540/2=270.
3,000x9%=270.
Altogether would be 18%. But, if we’re solving it for each separate year, then it would be 9%.

The required interest rate on the Bakas loan for the piano is 9%.

Given that,
Baka borrows $3,000 to buy a piano. The simple interest owed at the end of 2 years is $540. what is the annual interest rate on Baka loan for the piano is to be determined.

What is the investment?

When some apply for their money on something so that they can get higher value in returns of their money.

Here,
Simple interest = principal × rate × time / 100
Substitute value in the above equation,
540 = 3000  × rate × 2 / 100
Rate = 540 × 100 / 3000 × 2
Rate = 9%.

Thus, the required interest rate on the Bakas loan for the piano is 9%.

Learn more about investment here:

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A company makes 150 bags.
23 of the bags have buttons but no zips.
35 of the bags have zips but no buttons.
49 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

Answers

Answer:

66/150

Step-by-step explanation:

So the question asks the probabilty for buttons.

so we see that 23 has buttons so we discard for now,

35 has no buttons but a zip so we acknowledge it

49 has no buttons and no zips so we keep it too.

now we do 35+49 which is 84.

since there is 150 bags and 84 of those bags dont have buttons, the rest must do.

150-84=66

so there are 66 bags with buttons so we put this in a fraction -> 66/150

Tangent (non necessary for the question persay):

since we cant simplify you keep it as 66/150. If you are doing this on mathswatch, then remeber if there is a question like this next and you can simplify, simplify.

for this question it is not necessary.

Mathswatch users only:

Also a trick for mathswatch if you get it wrong, go to task bar, search the task name (it will be below search/taskbar) then type number press enter and you have 2 more turns. You can repeat this how many times you need to.

Thank you for reading, please rate 5star :)

have a good day.

The probability that the bag is selected at random have buttons is 11/25.

What is probability?

Probability is the chance of happning an event among all the events possible. It lies between 0 and 1. It is calculated by dividing number of items by total number of items.

How to calculate probability?

We have been given that company makes 150 bags out of which 23 of the bags have buttons but no zips and we have to calculate the probability that a bag chosen at random have buttons.

35 of the bags have zips but no buttons.49 of the bags have neither zips nor buttons.so we see that 23 has buttons so we discard for now, 35 has no buttons but a zip so we can say that it that 49 has no buttons and no zips so we keep it too.now we do 35+49 which is 84. Because there are  150 bags and 84 of those bags dont have buttons, the rest must do.

150-84=66, we got that there are 66 bags with buttons so we put this in a fraction= 66/150.

Probability=66/150

Hence the probability of getting a bag that has buttons is 66/150.

Learn more about probability at https://brainly.com/question/24756209

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Only answer if you know!!! Which expression represents 5 less than y? (1 point)
Oy-5
O 5-y
Oy
5
O5y-1

Answers

Answer:

5 less than y isn’t up there but if you mean 5 minus y it’s the second one, and y minus 5 is the first

Step-by-step explanation:

Charlie does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at least 9 hours. He spends at most 12 hours on weight training. He spends at most 6 hours doing cardiovascular work. Let x denote the time (in hours) that Charlie spends doing cardiovascular work. Let y denote the time (in hours) that he spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.

Answers

Answer:

[tex](x_1,y_1) = (0,9)[/tex]

[tex](x_2,y_2) = (6,3)[/tex]

[tex](x_3,y_3) = (6,12)[/tex]

Step-by-step explanation:

Given

x = hours spent on cardiovascular work

y = hours spent on weight training

From the first statement,

Each week: he spends at least 9 hours

This is represented as:

[tex]Total \ge 9[/tex]

[tex]x + y \ge 9[/tex]

From the second statement,

Each week: he spends a max of 12 hours on weights

This is represented as:

[tex]Weight \le 12[/tex]

[tex]y \le 12[/tex]

From the third statement,

Each week: he spends a max of 6 hours on cardio works

This is represented as:

[tex]Cardio \le 6[/tex]

[tex]x \le 6[/tex]

So, the inequalities are:

[tex]x + y \ge 9[/tex]

[tex]y \le 12[/tex]

[tex]x \le 6[/tex]

See attachment for the graph where the solution are also highlighted

From the attachment, the solutions are:

[tex](x_1,y_1) = (0,9)[/tex]

[tex](x_2,y_2) = (6,3)[/tex]

[tex](x_3,y_3) = (6,12)[/tex]

Pls help
This is due in 7 minutes

Answers

Answer:

17. The puppy will grow 16 in - ( 1 foot = 12in and 28-12=16)

Step-by-step explanation:

18 .

21; 17.5; 14; 10.5; and 7

3 x 7 = 21

2.5 x 7 = 17.5

2 x 7 = 14

1.5 x 7 = 10.5

1 x 7 = 7

Can someone help me? I’ll reward points + brainalist

Answers

Answer:

Step-by-step explanation:

The given box in both questions are cuboid.

Question 3:

Volume of cuboid = length * width * height

                              = 3 * 3 * 5 = 45 units.

Question 4:

Volume of cuboid = length * width * height

                              = 4 * 2 * 6 = 48 units

How many integers satisfy each inequality?
-102

Answers

Answer:At integers -2 and -3 the value of the equation is zero, hence satisfies the inequality. So overall 4 integers satisfy the inequality.

i got 1 2 3 4 5 6 7 8 ems in my bank account

Step-by-step explanation:

the ratio of lampreys to oarfish in the marine aquarium was 27:22 if there were 162 lampreys in the aquarium how many oarfish were there

Answers

Answer:

132

Step-by-step explanation:

First divide the number of lampreys by the ratio.

162/27=6

Then multiply the result (6) by the oarfish part of the ratio

22*6=132

5+10+15+20 in stigma notation

Answers

You mean Sigma notation not stigma ^^

Answer:

Look the attachment

Easy question What is the answer??

Answers

Answer:

72.5

Step-by-step explanation:

Answer:

72.5

Step-by-step explanation:

Is this function odd?

Answers

Answer:

I'm afraid, we can't see the function

Step-by-step explanation:

Answer:

what function???? there's nothing there to look at

Alice sells bracelets 10 for $5. How much does 1 bracelet cost?

Answers

Answer:

FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"

READ PROMPT

Step-by-step explanation:

Answer:

$2

Step-by-step explanation:

Because Alice sells 10 bracelets for 5 dollars, you have to do 10/5 which is equal to 2. Therefore, 1 bracelet cost $2.

Apply the rule (x,-y) to the point (-2,3)

Answers

Answer:

(2, -3)

Step-by-step explanation:

Answer:(-2,-3)

Step-by-step explanation: -2 is x and -y is 3.

can u please help me​

Answers

I kfksnsjsjsjennwmdkcicubwbdnd

X is directly proportional to y.work out the missing values,p and q, in the table

Answers

Answer:

p = 21, and q = 30

Step-by-step explanation:

If x is directly proportional to y, then we know:

y = 35x / 60

We can factor 5 out of that, giving us:

y = 7x / 12

We can also find the inverse of that relationship:

y = 7x / 12

12y = 7x

x = 12y / 7

So in the second row, where x = 36:

y = 7 × 36 / 12

y = 7 × 3

y = 21

And in the third row where y = 17.5:

x = 12 × 17.5 / 7

x = 210 / 7

x = 30

So p = 21, and q = 30

Daniel started a video game with 30 tokens. He earned 8 more tokens 0/10
for jumping on a star, but lost 6 tokens for falling into a hole. When he
passed a checkpoint, his number of tokens doubled! Then he spent20
tokens to buy a flashlight. Which expression shows how many tokens he
has left?

2x(30+8-6-20)

2x(30+8)-(20-6)

2x30+8-6-20

2x(30+8-6)-20

Answers

Answer:

2x(30+8-6)-20

Step-by-step explanation:

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