A circular wire of length 176 cm is rebound to a rectangle whose length is same as the diameter of the circle. Find the difference in both the areas ?

Answers

Answer 1

Answer:

The difference in area is 672 cm^2

Step-by-step explanation:

Firstly, let us get the diameter of the circle

The length of the wire is the measure of the circle’s circumference

mathematically;

C = pi * d

176 = 22/7 * d

22d = 7 * 176

d = (7 * 176)/22

d = 56 cm

So, the area of the circle will be;

pi * d^2/4

= 22/7 * 56 * 56 * 1/4

= 2464 cm^2

Also, the length of the circumference is same as the perimeter of the rectangle

From the perimeter of the rectangle, we can get the width and use that to calculate the area of the rectangle

The formula for the perimeter of the rectangle is;

2(l + b)

2(56 + b) = 176

56 + b = 88

b = 88-56

b = 32 cm

So, the area of the rectangle will be;

32 * 56 = 1792 cm^2

The difference between the two areas will be;

2464-1792 = 672 cm^2


Related Questions

13. Describe the number of solutions for the equation. (1 point)
3(x – 3) = 3x
O one solution
O no solution
O infinite solutions
What one

Answers

Answer:

no solution

Step-by-step explanation:

Given

3(x - 3) = 3x , that is

3x - 9 = 3x ( add 9 to both sides )

3x = 3x + 9 ( subtract 3x from both sides )

0 = 9 ← not possible

This indicates the equation has no solution

For each equation, find a value x that makes the equation true.
(PLLLLLZZZ help me)

1 x( divided) by 3=12
2 2x+3=20
3 4/3x=10/3
4 -4x=-24
5 2(x-4)=10
6 -0.5x+1.1+2.9

Answers

1: x=36
2: x= 17/2
4: x = 6
5: x = 9

I’m not sure about 3 and 6 sorry

Please hurry, I'll give brainly

Answers

Step-by-step explanation:

there should 90 value

the value of triangle is 90

Answer:

area = 8.03

Step-by-step explanation:

[tex]area= \frac{ab\sin\C}{2}[/tex]

Which number is a solution of the inequality?

8 < x (7-x)

2
8
-1
0


PLEASE HELP!!

Answers

Answer: The answer is 8

Step-by-step explanation:

Determine the number of lines of symmetry for the figure.

Answers

Answer:

theres 26 lines of symmetry i think....hope this helps:)

Two people decided to race. One of the cars is 10 meters north of the start line 5 seconds into the race. After 15 seconds, the car is 25 meters north of the start line. Calculate the average velocity of the car.

Answers

Answer:

The average velocity of the car is 1.5 m/s

Step-by-step explanation:

The given parameters are;

The displacement of one of the cars north of the start after 5 seconds = 10 meters

The displacement of the car north of the start after 15 seconds = 25 meters

The average velocity of the cars [tex]\overline v[/tex] is given as follows;

[tex]\overline v = \dfrac{\Delta x}{\Delta t}[/tex]

Where;

Δx = The change in the displacement of the car = 25 m - 10 m = 15 m

Δt = The corresponding amount of the change in time 15 s - 5 s = 10 s

By substituting the known values of Δx and Δt in the equation for the average velocity of the car, [tex]\overline v[/tex], we have;

[tex]\overline v = \dfrac{15 \ m}{10 \ s} = 1.5 \ m/s[/tex]

∴ The average velocity of the car, [tex]\overline v[/tex] = 1.5 m/s

Please help with this thanks lol

Answers

Answer:

-70

Step-by-step explanation:

multiply each sides with (7/4)

(7/4)* 40 = (x/(-4/7)) * (7/4)

(7/4) *40 = -x

70= -x

x= -70

a wholesaler received 5,000.00 for 50 raincoats . how much did the wholesaler get for each raincoat

Answers

Answer:

100

Step-by-step explanation:

..................

Which expression has a positive quotient?
Negative three-fourths divided by Negative two-thirds
Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth
2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth
Negative 6 divided by Five-thirds

Answers

Answer:

Only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

Step-by-step explanation:

We will solve to find out Which expression has a positive quotient.

We know the division rule: [tex]\frac{-a}{-b}=\frac{a}{b}[/tex] and [tex]\frac{-a}{b}=\frac{-a}{b}[/tex]

We will use these rules

1) Negative three-fourths divided by Negative two-thirds

[tex]=\frac{-\frac{3}{4} }{-\frac{2}{3} }\\=-\frac{3}{4}\times -\frac{3}{2}\\=\frac{9}{8}[/tex]

The quotient is positive.

2) Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth

[tex]\frac{-\frac{1}{8} }{3\frac{1}{5} }\\=\frac{-\frac{1}{8} }{\frac{16}{5} }\\=-\frac{1}{18} \times \frac{5}{16}\\=-\frac{5}{288}[/tex]

The quotient is negative.

3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth

[tex]\frac{2\frac{2}{7} }{-\frac{1}{5} }\\= \frac{\frac{16}{7} }{-\frac{1}{5} }\\=\frac{16}{7} \times -5\\=-\frac{80}{7}[/tex]

The quotient is negative.

4) Negative 6 divided by Five-thirds

[tex]\frac{-6}{\frac{5}{3} }\\=-6 \times \frac{3}{5}\\=-\frac{18}{5}[/tex]

The quotient is negative.

So, only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

Answer:

its A

Step-by-step explanation:

i did the test

Which function will not have an
x-intercept?

a) y = -2X
b) y = x
c) x = 2
d) y = 5​

Answers

Answer:

(d)

because there is only y value, hence no point on x-axis therefore no x-intercept

Given that cosA = -8/17  and sinA is negative, determine the value of tanA.​

Answers

Answer:

tan A = -15/8.

Step-by-step explanation:

sin^2a = 1 - cos^2A

= 1 - (-8/17)^2

= 225/289

So sin A= 15/17

tan A = sin A / cos A

=  15/17 / -8/17

= 15/-8

= -15/8.


What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit

Answers

Answer:

[tex]\displaystyle m=2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph

Point (3, 0)

Point (4, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]\displaystyle m=\frac{2-0}{4-3}[/tex]Subtract:                              [tex]\displaystyle m=\frac{2}{1}[/tex]Divide:                                 [tex]\displaystyle m=2[/tex]

Use the distributive property to remove the parentheses. Thankyou!


2(v - 5)

3(u - 2)

7(3 + v)

Answers

Answer:

1) 2v-10

2) 3u-6

3) 21 + 7v

Step-by-step explanation:

Using the distibutive property all you have to do is have the number on the of the parenthesis multiply itself to each component in your parenthesis.

find the measures of the numbered angles in the rhombus, will give brainliest ! pls show how you solved it :)))

Answers

Answer:

1= 38

2= 90

3 =2 = 90

4= 1 = 38

for explanation check your own previous question

its the same thing

Answer:

see explanation

Step-by-step explanation:

• The diagonals bisect each other at right angles, then

∠ 2 = ∠ 3 = 90°

∠ 1  = 180° - (90 + 52)° ← angle sum of a triangle

∠ 1 = 180° - 142° = 38°

• Diagonals bisect the endpoints, then

angle at vertex with ∠ 1 = 76° and

angle at vertex with ∠ 4 = 76°, thus

∠ 1 = ∠ 4 = 38°

In conclusion

∠ 1 = 38°, ∠ 2 = 90°, ∠ 3 = 90°, ∠ 4 = 38°

When you multiply a function by –1, what is the effect on its graph?

A.
The graph flips over the y-axis.

B.
The graph flips over the line y = x.

C.
The graph flips over the x-axis.

Answers

Answer: C) The graph flips over the x axis.

This is because we're multiplying the y outputs by -1, to make them flip in sign from positive to negative (or vice versa).

Let's say the point (1,2) is on the f(x) curve. Multiplying y = f(x) by -1 will make the point turn into (1,-2). Apply this logic to every point on the f(x) curve and we end up with f(x) reflected over the horizontal x axis.

The notation we could write is either g(x) = -1*f(x) or g(x) = -f(x).

PLEASE HELP ASAP!!!!
Q1: What signals you that factoring by grouping is the best method to use when factoring a
problem? How would you know if it is factorable or prime?

Answers

Answer:

You know a number is not factorable or prime if nothing multiplies to it.

Step-by-step explanation:

For example there are no numbers that multiple to 7, same with 19. No 2 numbers will ever be able to = to 7 or 19 for example.

Hope this helps!!!

Answer:

prime numbers would be 2,4,6,8,10,12, and etc.....

Step-by-step explanation:

factorable means say we have the number 32 it factors down to 16 then 16 factors down into 8 then 8 goes down into 4 then 4 goes dow into 2

hope this helps

Identify the like terms:
4x - 7+ 6y + 2x + x + 16 - 3x

Answers

The answer is 4x+9+6y

Answer:

4x−7+6y+2x+x+16−3x

=4x+−7+6y+2x+x+16+−3x

Combine Like Terms:

=4x+−7+6y+2x+x+16+−3x

=(4x+2x+x+−3x)+(6y)+(−7+16)

=4x+6y+9

Answer:

=4x+6y+9

Find the slope of the line.
3
D
1
ok
-4
5
-6
.
.9
-10
121
.
0
5
6
7
9 10
The slope is -3
I

Answers

Answer:

-1

Step-by-step explanation:

slope=[tex] \frac{change \: in \: y}{change \: in \: x} [/tex][tex] \frac{ - 1}{1} [/tex]

[tex] = - 1[/tex]

Solve the system of equations algebraically.
GOF
4x + 5y = 15
- 4x + by = 7
a. (5/4, 2)
B. (2, 5/4)
C. (4/5, 2)
D. (2, 4/5)

Answers

A should be the right answer because 4*5/4=5 + 5*2=10 and 5+10=15.

Describe how the graph of y= x2 can be transformed to the graph of the given equation. (2 points)
y = x2 - 20

Shift the graph of y = x2 left 20 units.
Shift the graph of y = x2 up 20 units.
Shift the graph of y = x2 down 20 units.
Shift the graph of y = x2 right 20 units.

Answers

Derslerinde başarılar dilerim ohdupDıfuclgxpugğuhpcğu

Answer:

Equation : y = x2 - 20

Intercepts

when y is zero (0), x is 10

when x is zero (0), y is -20

Therefore, shift the graph, y=2x down to the negative y-axis 20 units

ALTERNATIVELY: Shift the graph to the right of positive x-axis 10 units.

By talking to the sales clerk at the hardware store, you find out that the burglar has two hideouts — the lake house and the cabin. Given the coordinate plane below, calculate the distances between the store and each hideout. Which hideout is closest to the store?

Answers

Cabin is your answer

Someone help me with this question please! I'm having a hard time answering it!

Answers

Step-by-step explanation:

2 * 2 for potatoes = £4

3 * 3 for carrots = £9

90p * 3 for turnips = 270p = £2.70

total price = 9+4+2.70=15.70

change = 20 - 15.70 = £4.30

3 lines are shown. A line with points T, R, W intersects a line with points S, R, W at point R. Another line extends from point R to point U between angle T, R, V. Angle V R W is (3 x) degrees and angle T R S is (2 x + 18) degrees.
What is m∠SRW?

18
54
126
108

Answers

Answer:

m∠SRW = [tex]126^{o}[/tex]

Step-by-step explanation:

Given: <VRW = 3x

          <TRS = (2x + 18)

What is m∠SRW?

<TRS = <VRW (vertically opposite angles)

2x + 18 = 3x

18 = 3x - 2x

x = 18

<VRW = 3x = 3 x 18 = [tex]54^{o}[/tex]

<TRS = (2x + 18) = 92 x 18 + 18)

           = [tex]54^{o}[/tex]

Also,

<TRV = <SRW (vertically opposite angles)

So that,

<TRU + <URV = <SRW

But,

<TRV + <SRW + <TRS + <VRW = [tex]360^{o}[/tex]

<TRV + <SRW +  [tex]54^{o}[/tex] +  [tex]54^{o}[/tex] = [tex]360^{o}[/tex]

<TRV + <SRW + [tex]108^{o}[/tex] = [tex]360^{o}[/tex]

<TRV + <SRW = [tex]360^{o}[/tex] -  [tex]108^{o}[/tex]

<TRV + <SRW = [tex]252^{o}[/tex]

2 <SRW = [tex]252^{o}[/tex]    (∵ <TRV = <SRW)

<SRW = [tex]\frac{252}{2}[/tex]

           = [tex]126^{o}[/tex]

Therefore,

m<SRW = [tex]126^{o}[/tex]

Answer:

short answer its 126 so C.

Step-by-step explanation:

THIS IS FOR FUTURE PPL ON EDGE 2022!! JUST HAD IT


(3z + 1) + (5 + 72)=


Please help quick

Answers

Answer:

3z + 78

Step-by-step explanation:

Simplify

(3z + 1) + (5 + 72)

(3z+1) + 77

3z + 78

Hope this helped you!! If you want to ask any questions about it, I will answer them!! Or if you want it explained more or in a different way, just let me know :))

When I multiply two variables, what operation do I use for the exponents to combine them?

Answers

Answer:

Multiplying exponents with the same base

When you multiply two variables or numbers that have the same base, you simply add the exponents.

Step-by-step explanation:

What are the output values for this data set:

{ (0,8), (1,9), (2,13), (3,23) }?

Answers

Answer:

its 8,9,13,23 or b

Step-by-step explanation:

toke the test

Answer:

8,9,13,23

Step-by-step explanation:

i took the test as well\

HURRY PLSS
Which values are in the solution set of the compound inequality -8 <3x +7s 10? Select three options.
O-15
O-5
O-3
O1

Answers

Step-by-step explanation:

-8 < 3x + 7 <= 10

-15 < 3x <= 3 (subtract 7)

-5 < x <= 1 (divide by 3)

Hence the correct options are -3, 0 and 1.

Help asap please!! I will mark you as brainliest :)

Answers

Here u go. This is the best answer to be given.

Answer:

12

Step-by-step explanation:

The answer is 12 because is you subtract 2 by 12 then you get 10.

Here's why that's correct.

[tex]\frac{5}{2}[/tex] [tex]or[/tex] [tex]2.5[/tex] is equal to [tex]\frac{10}{4}[/tex] which is also [tex]2.5[/tex]

This is correct because if you multiply both the numerator and the denominator by 2, you get [tex]\frac{10}{4}[/tex] because if you multiply 5 times 2, that equals 10. Then if you multiply 2 times 2, you get 4, which eventually makes 10 over 4, or  [tex]\frac{10}{4}[/tex].

Hope this helps! <3

Mei invests $1,924 in a retirement account with a fixed annual interest rate of 3% compounded continuously. What will the account balance be after 19 years?

Answers

Answer:

mei invests $1,924 in a retirement account with a fixed annual interest rate of 3% compounded continuously. what will the account balance be after 19 years?

there are 36 students in a PE class. 1/4 of the student can run 1 mile. how many students can run 1 mile?

Answers

Answer:

9

Step-by-step explanation:

U would have to divide 36 1/4 it would = 9

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