A circle is to be drawn with radius 3.5 inches. the radius is measured as 3.6 instead, what error does this cause in the area of the circle?(leave your answer in terms of pi )

Answers

Answer 1

Answer:

[tex]0.71\pi\: in^2[/tex]

Step-by-step explanation:

[tex]r_1= 3.5\: in[/tex]

[tex]r_2= 3.6\: in[/tex]

[tex]A_1=\pi r_1^2=\pi(3.5)^2= 12.25\pi \:in^2[/tex]

[tex]A_2=\pi r_2^2=\pi(3.6)^2= 12.96\pi \:in^2[/tex]

[tex]Difference\: in \:area =A_2-A_1=0.71\pi\:in^2[/tex]

[tex]\implies Error \:in\: the \:area \:of\: the \:circle = 0.71\pi\: in^2[/tex]


Related Questions

Solve and show the answer in simplest terms 1 over 8 + 1 over 2 + 1 over 4

Answers

Answer:

7 over 8

Step-by-step explanation:

Change all the numerators over the least common denominator. 1+4+2 over 8.

I'd like someone to help me, please!
Julie has 9 rings in her jewelry box. Five are gold and four are silver. If she randomly
selects 3 rings to wear, find each probability:
a) P(exactly 2 silver)
b) P(at least 2 gold)
c) P(all 3 gold or all 3 silver)
d) P(at least 1 silver)

Answers

I think it’s c I’m not sure though

Given the function h of x equals 3 times the square root of x, which statement is true about h(x)?

The function is decreasing on the interval (–∞, 0).
The function is increasing on the interval (–∞, 0).
The function is decreasing on the interval (0, ∞).
The function is

Answers

The true statement about h(x) is: The function is increasing on the interval [0, ∞).

Linear Function

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

a= the slope.If:

             a> 0 , the function is increasing;

             a< 0 , the function is decreasing;

b=the constant term that represents the y-intercept.

Domain and Range

The domain of a function is the set of input values for which the function is real and defined. In other words, when you define the domain, you are indicating for which values x the function is real and defined.

While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

You should convert the text of the question into a math expression.

[tex]h(x)=3*\sqrt{x}[/tex]

Like the coefficient a is greater than zero (a>0), the function is increasing.

The equation has a square root, so, the values of x can not present negative values. Therefore, x≥0. Consequently, the values of y (range) for this function will be greater than or equal to zero (y≥0). See the attached image.

The range is:

[tex]{Solution:}\:&\:f\left(x\right)\ge \:0\:\\Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]

Learn more about the range and the domain here:

brainly.com/question/10197594

Help me plssss someone I've been stuck on this question for a while now ;(

Answers

Answer:

4000 meters

Step-by-step explanation:

Shortest run was 5 laps (2000 meters), and longest was 15 (6,000 meters)

7.7 cm
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 115 cm3.
The height of the water bottle is 7.7 cm. What is
the radius of the water bottle? Use 3.14 for r.

Answers

Step-by-step explanation:

I guess the 3.14 is to be used for pi (and not r, which is what we need to find out).

the volume of a cylinder is ground area × height.

the ground area is the area of a circle, which is pi×r².

so, we have

pi×r²×height = 115 cm³

3.14×r²×7.7 = 115 cm³

3.14×r² = 14.93506494...

r² = 4.756390107...

r = 2.18091497... cm

A collector has 210 magazines and 300 books. She wants to maintain
this ratio in her collection but she needs to sell some of her items. If
she sells 21 magazines, how many total items should she sell from
her collection?

Answers

Answer:

51 total items

Step-by-step explanation:

210 Magazine : 300 Books

21 Magazine : 30 Books

If She wants to sell 21 magazines, she would have to sell  another 30 books in order to maintain the ratio.

21 + 30 = 51

Explain why the fractions in question number 2 are equivalent?

Answers

Answer:

its 2/6ths its only multiplied by 2

Step-by-step explanation:

What decimal is equivalent to 85/99?

0.76
0.767676...
0.85
0.858585...

Answers

Answer:

The repeating decimal is 85/99 = 0.858585...

Step-by-step explanation:

A rational number in the form of a fraction can be represented as a decimal by dividing the numerator by the denominator. For example, this is how we get 0.75 = 3/4: (first screenshot)

Now let's divide 85.0000... by 99. Find enough decimal digits in the numerator so we can see whether the decimal terminates or starts to repeat. (second screenshot) Since the number 850 repeats itself, this is a repeating decimal.

which expression shows 48+36 written as a protuct of two factors

Answers

Answer:

12(4+3)

Step-by-step explanation:

Factor out all of the problems.

Starting with 4(12+4)

This means (4*12)+(4*4)

48+16 is the answer to this

this isn't 48 + 36

12(4+3) is next

12*4 = 48

12*3 = 36

48+36 = 48 + 36

Therefore 12(4+3) is your answer

hope that helps!

hope this is what your looking for

y = 4

2x + y = 14
solve using substitution

Answers

So I think it is x= 5 because you have to do 2*5 =10+4= 14. So x equals to 5.

3 shapes are combined to form a composite figure. a semicircle is on the bottom, and then a small rectangle connects the semicircle to a triangle. how can you decompose the composite figure to determine its area? as three triangles and a circle as two triangles, a rectangle, and a circle as a triangle, a pentagon, and a semicircle as a triangle, a rectangle, and a semicircle

Answers

Answer:

  (d)  as a triangle, a rectangle, and a semicircle

Step-by-step explanation:

The description of the shape tells you how to decompose it. The shape is described as a semicircle, a rectangle, and a triangle. The appropriate decomposition is ...

  as a triangle, a rectangle, and a semicircle

Answer:

d

Step-by-step explanation:

Which value is equivalent to the expression 3^2 × 3^3?

Answers

Answer:

243

Step-by-step explanation:

3^2 x 3^3 is the same as 3x3 x 3x3x3 which is 9x27 which is 243

Work out the value of x

2x



7x

this is a Co-intirior angle

Answers

Step-by-step explanation:

The sum of co-interior angle = 180°

Now,

2x + 7x = 180°

9x = 180°

x = 180° ÷ 9

x = 20°

Answer:

x = 20

Step-by-step explanation:

Co-interior angles (also called same-side interior angles) are two angles that are on the same side of the transversal and on the interior of (between) the two parallel lines.

Same-side interior angles theorem:  If two parallel lines are cut by a transversal, then the same side interior angles are supplementary (add up to 180º).

Therefore, if 2x and 7x are co-interior:

⇒ 2x + 7x = 180

⇒ 9x = 180

⇒ x = 20

HELP What is the surface area of the square pyramid?

Answers

Step-by-step explanation:

Answer

A = +2aUnderoute of by 4+h

a) a = base edge

b) h = height

pls vote me as a branliest

Kate has five sandwiches to share with three of her friends. If each person gets the same amount of sandwich, how much will each person get?

Answers

Answer: Each person gets 1 1/4 of a sandwich.

Step-by-step explanation: Kate is sharing five sandwiches, and there are three friends with her too.  Each person gets a sandwich, but you have to cut the last one three times to make fourths for everyone.  So, each person gets 1 and 1/4 of a sandwich.

Hope this helps! :)

If each person gets the same amount of sandwich then each person get

is 5/3.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

We have,

Total sandwiches = 5

Total number of people = 3

Now, we have to equally divide 5 sandwiches among 3 Friends.

So, Each person get

= 1 full sandwich and 2/3 part

= 1 2/3 parts

= 5/3

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ7

please someone help 2 yards=_____feet

Answers

Answer:

3 feet in a yard, so the answer is 6

Step-by-step explanation:

2 yards x 3 feet in a yard = 6 feet

Answer:

6

Step-by-step explanation:

There are 3 feet in 1 yard, so in 2 yards there would be 6 feet.

Hope that helps!

how many solutions does 8B + 7v - 5 equals -11 + 15b​

Answers

Answer: No solutions

- by graphing-

         First I will simplify:

8B + 7v - 5 equals -11 + 15b​

8b + 7v - 5 = -11 + 15b​

7v = -6 + 15b​

7v = -6 + 7b​

         Let's graph this and see what happens!

-> I will graph y = 7x and y = 7x - 6

-> See attached.

-> Since there are no points of intersection (they have the same slope), there is no solutions.

Do I subtract the fractions or divide or do something else with them please help​

Answers

Answer:

7/6

Step-by-step explanation:

in order to find the answer you have to -5/6 by 1/3 and then you get 7/6 so technically you have to minus it

ASAPPPPP!!!!!!!!!!!!!!

Answers

Answer:

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

Step-by-step explanation:

area of triangle x 4 + area of rectangle

[tex]\frac{1}{2}[/tex] x 12 x 9 x 4+ 9 x 9

What is one sixth of 2.00

Answers

If I’m not mistaken it should be 0.33

What is the estimated sum of 709 645 798 704 and 658?

Answers

Answer:

about 3600

Step-by-step explanation:

He asked the class to write a number that is greater than R, and less than S.
Which choice is correct?

0.30
0.45
0.70
0.75

Answers

number greater than R and less than S is 0,45

Answer:

0.45

Step-by-step explanation:

R = .34

S = .66

.30 is less than R and less than S

.70 is greater than R and greater than S

.75 is greater than R and greater than S

.45 is the only one that is greater than R and less than S

Hope this helped <3 brainliest please :)

A dartboard is divided into 20 sectors. Each sector is worth a point value from 1 to 20 and has shaded regions that double or
triple this value. A sector is shown below. Find the areas of the entire sector, the double region, and the triple region. Round
your answers to the nearest hundredth.
in
triple
double
The area of the entire sector is about
square inches.
The area of the double region is about
square inches.
square inches.
The area of the triple region is about

Answers

The area of each sector is the amount of space on the sector

The area of the entire region is 6.89The area of the double region is 0.75The area of the triple region is 0.46

The area of the entire sector

The area of a sector is calculated as:

A = (1/2) × r^2θ

For the entire sector, we have:

θ =  π/10

r = 6.625

So, we have:

A = (1/2) × 6.625^2 × π/10

Evaluate the product

A = 6.89

The area of the double region

For the double region, we have:

θ =  π/10

r = 6.25

So, we have:

A = Complete sector - (1/2) × r^2θ

A = 6.89 - (1/2) × 6.25^2 × π/10

Evaluate the difference

A = 0.75

The area of the triple region

For the triple region, we have:

θ =  π/10

R = 4.125

r = 3.75

So, we have:

A = (1/2) × R^2θ - (1/2) × r^2θ

A = (1/2) × 4.125^2 × π/10 - (1/2) × 3.75^2 × π/10

Evaluate the difference

A = 0.46

Hence, the area of the triple region is 0.46

Read more about sector areas at:

https://brainly.com/question/16736105

Compare to 0:
-x^2 + 10x - 25

Answers

Answer:

x = 5

Step-by-step explanation:

-x² + 10x - 25 = 0

x = {-10±√((10²)-(4*-1*-25) / (2*-1)

x = {-10±√(100-100)} / -2

x = {-10)/-2

x = 5

Comprobación:

- (5²) + 10*5 - 25 = 0

-25 + 50 - 25 = 0

Sylvie bakes 4 trays of muffins. Each tray contains 8 muffins. She gives away 12 muffins to friends.

Let m represent the number of muffins Sylvie has left.

Which equation could be used to find the value of m?


4+8−12=m

4 + 8 + 12 = m

4 × 8 + 12 = m

4×8−12=m

Answers

Answer:

4x8-12=m

Step-by-step explanation:

4 trays x each containing 8 muffins - 12 muffins(giving away)

Divide 2.875 x 106 by 2.3 x 103.

Answers

Answer:

1.25 x 10^3

Step-by-step explanation:

i took the test

Expand 3(2x-7) - 2(3x+5)

Answers

Answer:

-31

Step-by-step explanation:

Expand 3(2x-7) - 2(3x+5)

Distribute:

3(2x-7)

6x - 21

-2(3x+5)

-6x - 10

Add:

 6x - 21

- 6x - 10

      - 31

Hope this helps!

Answer:

[tex]\boxed{\sf{-31}}[/tex]

Step-by-step explanation:

If you want to solve this, you must expand by a distributive property.

Distributive property:

A(B+C)=AB+AC

3(2x-7)-2(3x+5)

3(2x-7)

3*2=6

3*7=21

Rewrite the problem.

6x-21

6x-21-2(3x+5)

-2(3x+5)

-2*3=-6

-2*5=10

-6x-10

Rewrite the problem down.

6x-21-6x-10

Combine like terms.

6x-6x-21-10

Add similar into their elements.

6x-6x=0

-21-10

Solve.

Subtract the numbers from left to right.

-21-10=-31

-31

Therefore, the correct answer is -31.

I hope this helps you! Let me know if my answer is wrong or not.

What does the 6 in 2/6 mean?

Answers

Hey there!

Here we have a fraction

2/6.

The 2 is the numerator, and 6 is the denominator.

How to remember where the numerator and the denominator is?

Well, please remember the following:

The Denominator is Down

Hence, 6 is the denominator of this fraction.

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

HELP ASAP PLEASE
NO LINKS

A computer was purchased at a sale at a discount of 15%. If $688.50 was paid for it,
and this price includes 8% sales tax, then what was the original price without tax or
discount?

Answers

Based on the discount rate and the sales tax, the original price of the computer was $750.

What was the original price?

First find the price before tax. This can be found as:

= Computer price / (1 + tax)

= 688.50 / (1 + 8%)

= $637.50

Then find the price without the discount as:

= Price without tax / (1 - discount rate)

= 637.50 / (1 - 15%)

= $750

Find out more on discounts at https://brainly.com/question/1548141.

I don’t understand this
7 yd 2 ft =_____ft

Answers

Answer:

23 ft

Step-by-step explanation:

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