A ladybug crawls around the outside of a rectangle that measures 7.5 cm by 8.5 cm. The ladybug stays exactly 3.9 cm from the rectangle at all times to form a larger figure. What is the area of the new rectangle bound by the path of the bug?

Answers

Answer 1

Answer:

185.64 [tex]cm^{2}[/tex]

Step-by-step explanation:

Width =7.5+3.9*2 = 15.3 cm

Length = 8.5+3.9*2=16.3 cm

Big Area = 15.3*16.3 = 249.39 [tex]cm^{2}[/tex]

Small Area = 7.5*8.5 = 63.75 1 [tex]cm^{2}[/tex]

area bounded by the path of the bug = 249.39-63.75 = 185.64 [tex]cm^{2}[/tex]


Related Questions

Explain how to compare decimals. Use the numbers 6.75 and 6.732 to
help you explain this process.

Answers

Answer:

6.75>6.732

Step-by-step explanation:

We are given that

6.75 and 6.732

We have to compare two given decimal numbers.

First we convert like decimal number

In 6.75 there are two digits after decimal point.

In 6.732 , there are three digits after decimal point

Therefore, we put zero in 6.75 to convert like decimal number

Now, we get

6.750

Unit place of both decimal numbers are same and tenth place of both decimal number are same.

Now, hundredth place of 6.750 is 5 and hundredth place of 6.732 is 3

5 >3

Therefore, 6.750 is greater than 6.732

6.75>6.732

How do I show my work for solving the radius of a circle if the area is 78.5 cm^2
(I already know the answer is 5 cm)​

Answers

9514 1404 393

Answer:

  radius = 5 cm

Step-by-step explanation:

The point of "show your work" is to have to do exactly that. If you know the answer to the problem, you are being requested to show how you got it. If you got it by using a web calculator, then show your input and its result.

__

If you worked the problem yourself, you probably did it by filling in numbers in the equation for the area of a circle:

  A = πr²

  78.5 = 3.14×r²

Dividing both sides by 3.14 gives the square of the radius:

  78.4/3.14 = r² = 25

Taking the positive square root gives the radius:

  r = √25 = 5

The area is in square centimeters, so the radius is in centimeters:

  radius = 5 cm

1. Evaluate |-x - 2y| for x = -2 and y = 3

Answers

Answer:

4

Step-by-step explanation:

x = - 2

y = 3

l - x - 2y l

= l - ( - 2 ) - 2 ( 3 ) l

= l 2 - 6 l

= l - 4 l

= 4

Wha
kind of hard math do they have you doing

The area of Triangle abc is 3cm 4cm 3cm​

Answers

Answer:

Step-by-step explanation:

ASSUMING the given dimensions are the lengths of the legs

we have an equilateral triangle with base 4 and height

h = √(3² - (4/2)²) = √5

A = ½bh = ½(4)(√5) = 2√5 cm²

hrome
e: Stella Hamilton
Ratio Practice 11/8
Name:
Solve Each Problem
1) At summer camp the ratio of boys to girls was 8: 5. If there were 32 boys, how many girls were
there?
21. Determine if the values in the table are

Answers

Answer:

20 girls.

Step-by-step explanation:

If 32 divided by 8 is 4, then 4x8= 32.

We use this equation to find out how many girls there are. 5x4 equals 20, so there are 20 girls at summer camp.

8.6w+2.2(2w-5)=54
help plz
8th grade math

Answers

w = 5

8.6w + 2.2 (2w-5) = 54

8.6w + 4.4w - 11 = 54

13w - 11 = 54

13w = 65

w = 5

Which of the following is not a solution of the equation below (3x(x-1)(x-2)=0

Answers

What is the options?

Craig has a job waiting tables where he earns $3.45 per hour plus tips. Craig earned $73.68 in tips during his shift yesterday.

If x represents the number of hours Craig worked yesterday, which of the following equations can be used to find the amount of money Craig earned yesterday?
A. y = 3.45x - 73.68
B. y = 73.68x + 3.45
C. y = 3.45x + 73.68
D. y = 73.68x - 3.45

Answers

C is the right answer

Question 7 of 15
Which is an equation of the line through (0,0) and (5,-2)?
A. y = 2
B. y = -x
C. y = -2
D. y = x

Answers

... None?

Not A because y = 2 is shown as forever 2 so cannot go through both points.

Not B because y = -x cannot go through (5,-2)

Not C because y = -2 cannot go through (0,0)

Not D because y = x cannot go through (5,2)

Michael paid an entrance fee of $8 plus an additional $2.25 per game at the bowling alley. He spent $50.00. Write and solve an equation to determine how many games Michael played.

Answers

Answer:

4

Step-by-step explanation:

$8.00+$2.25 = $10.25

$50.00÷$10.25= 4.

Jack bought a 1/4 pound of salami and 1 2/3 pounds of Ham at the deli. Both items are on sale for $12 per pound. What is the total cost?

Answers

Answer:

Salami: $3.00

Ham: $ 8.00

Step-by-step explanation:

12 * 1/4 = 12/4 = $3.00

12 * 2/3 = 24/3 = $8.00

3. There were 155 people at the basketball game. Tickets for the
game are $2.50 for students and $4 for adults. If the total money
received for admission was $492.50, how many students and adults
attended the game?

Answers

Answer:

85 students and 70 adults attended the game.

How many students and adults attended the game?

Step-by-step explanation:

Problema Solution

There were 155 people at the basketball game. Tickets for the game are $2.50 for students and $4 for adults. If the total money received for admission was $492.50, how many students and adults attended the game?

Answer provided by our tutors

let

s = the number of student tickets sold

a = the number of adult tickets sold

there were 155 people at the basketball game

s + a = 155

the total money received for admission was $492.50

2.50s + 4a = 492.50

by solving the system of equations

s + a = 155

2.50s + 4a = 492.50

we find

s = 85 students

a = 70 adults

Solve the inequality 10y−3(y+2)>2y+4, and write the solution in interval notation.

Answers

Step-by-step explanation:

10y - 3(y + 2) > 2y + 4

10y - 3y - 6 > 2y + 4

(10 - 3 - 2)y > 4 + 6

5y > 10

y > 10/5

y > 2

[tex] \: [/tex]

Solution → y > 2

Interval Notation → [tex] \lang 2 , \infty\rang[/tex]

The solution in interval notation is: (2, ∞)

To solve the inequality 10y - 3(y + 2) > 2y + 4, follow these steps:

Step 1: Distribute the -3 on the left side of the inequality:

10y - 3y - 6 > 2y + 4

Step 2: Combine like terms:

(10y - 3y) - 6 > 2y + 4

7y - 6 > 2y + 4

Step 3: Get all the y terms on one side by subtracting 2y from both sides of the inequality:

7y - 2y - 6 > 2y - 2y + 4

5y - 6 > 4

Step 4: Get the constant term on the other side by adding 6 to both sides of the inequality:

5y - 6 + 6 > 4 + 6

5y > 10

Step 5: Finally, solve for y by dividing both sides by 5:

y > 10/5

y > 2

The solution to the inequality is y > 2. Now, let's write it in interval notation.

To know more about interval:

https://brainly.com/question/29126055

#SPJ2

I need to know that answer please help if you can

Answers

Answer:

$180

Step-by-step explanation:

y = 30x +150

30(1) + 150

= 180

Please help me with this question. What formula would you use to find the missing lengths of the right triangles?

Answers

a2 + b2 = c2 can be use to find missing lengths of the right triangles

Third question please need help

Answers

Answer:

add 6 time 8 and get the answer like that.

Step-by-step explanation:

just keep adding that what you need to do ok.

Need helppppppppppppppp

Answers

Answer: Try square root for the first one.

Step-by-step explanation: I know a lot about graphs tell me if I am right or wrong. Ok?

PLEASE HELP I'LL GIVE BRAINLIEST!!!! AND I'M GIVING 100 POINTS!!!
When Max was a puppy, he weighed 5 1/2 pounds. At his 1-year check-up with the vet, Max weighed 15.8 pounds.

How much weight did Max gain between the time he was a puppy and his 1-year check-up?

Enter your answer as a decimal or simplified mixed number in the box.

Answers

Answer:

10.3 pounds

Step-by-step explanation:

Answer:

10.3 pounds

Step-by-step explanation:

15.8-5 1/2 is 10.3

Log2(x-1)+Log2(x+2) =2
Find X

Answers

X is 2.82 rounded off :)

The circle graph shows a family budgets it’s annual income.if the total annual income is 140,000, what amount is budgeted for auto expenses?

Answers

Answer: The amount budgeted for Auto Expenses is $18,200

Step-by-step explanation:

13 Percent of $140,000 is $18,200

0.13 times 140,000 :-)

Find the value of the constant term in the expansion of x^4 (x+3/2x^2)^5

Answers

5 is the answer ok I'll explain

3x-1 over 5 = x+1 over 3

I need asap

Answers

Answer:

(3x-1)/5= (x+1)/3

3(3x-1)=5(x+1)

then solve which the final answer will give you x=8

At a real estate agency, an agent sold a house for $369,000. The commission rate is 4.5% for the
real estate agency and the commission rate for the agent is 25% of the amount the real estate
agency gets. How much did the agency make on the house? How much did the agent earn in
commission?

Answers

$29,700 on the hours, and $79,200 in commission.

I hope i helped! :)

How do you figure out division expression with answer of 19.1

Answers

Answer:

its 5823

Step-by-step explanation:

help urself

plz plz heelp me i need heelp

Answers

C because 1.04 could be rounded to 1 to the nearest whole number

PLS HELP WITH ALGEBRA TWO

Answers

Answer:

Answers in Explanation

Step-by-step explanation:

8x^3 + 2x^2 - 20x - 5

(8x^3 + 2x^2) + (-20x - 5)

2x^2 (4x + 1) + (-5) (4x+1)

(2x^2 - 5) (4x + 1)

Membership at the YMCA costs $15 per month plus $80 to sign-up. Blink costs $29 per month but is free
to sign-up. After how many months will the two gyms cost the same amount?

Answers

Let months be x

[tex]\\ \sf\longmapsto 80+15x=29x[/tex]

[tex]\\ \sf\longmapsto 29x-15x=80[/tex]

[tex]\\ \sf\longmapsto 14x=80[/tex]

[tex]\\ \sf\longmapsto x\approx 6months[/tex]

Answer:

43  months in ymca including the $80 sign up fee is equal to 25 months in blink

Step-by-step explanation:

$725 divided by $29 =25 months

$ 725 - $80 sign up = $645 .

Now we divide this by $15.

$645 divided by 15= 43 months

The lcm of 5^3 and 5^2 is?

Answers

Answer:

Step-by-step explanation:

5³ is the answer since it's the greater between the two numbers

Answer:

125

Step-by-step explanation:

This is because 5^2 *5 is 125 and 5^3 * 1 = 125   and the findings are both numbers have to be multiplied by a whole number to quantify a same identical multiple total number - we can check this by dividing by the smallest 125/5^2  = 5  and then the largest is 125/5^3 = 1 and we know there could not be a smaller whole number  - The other workings would be to do a prim e factor tree   of 125  =  5  25  5 and 5 =  5^3 and here we are told 5^3 is a multiple of 125 and 5^2 is also a multiple of 5^3 as it square fits 5 times into 125 as 5*25 is 125  

no link or bot answer the question

Answers

Answer:

480in

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6 * 8 = 48

48 / 2 = 24

because it's half a square

Refer to the map shown in exercise.2. If m.angle 1 os 64° what is the measure of angle.2?

Answers

post the map
we need to see α photo in order to answer the question.

Answer:180

Step-by-step explanation:

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