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

What is the surface area of this rectangular pyramid?
5 m
4 m
4 m
square meters
ILL GIVE BRAINLIEST

Answers

Answer:

A=61.23

Step-by-step explanation:

please help with 1 or 2 i’ll mark brainly

Answers

Answer:

700 cubic centimetersDisagree. Volume does not depend on slant height.

Step-by-step explanation:

Cavalier's Principle tells you that the slant figures with the same base area and height have the same volume, regardless of the amount of offset.

__

1.

The volume of the oblique cylinder is the same as the volume of the right cylinder: 700 cubic centimeters.

__

2.

Disagree. Both the volume formula for the pyramid and Cavalier's Principle tell you that the volume is not a function of the slant height.

Need help. can anyone please give an explanation along with the answer?

Answers

Answer:

what's the question

Step-by-step explanation:

someone help me please

Answers

Answer:

3x + 5y = 15

Find gradient:

coordinates taken: (5, 0), (0, 3)

[tex]\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{3-0}{0-5}[/tex]

[tex]\rightarrow \sf -\dfrac{3}{5}[/tex]

Here the y-intercept: 3gradient: -3/5

equation:

[tex]\sf \bold{ y = m(x) + b}[/tex]

[tex]\rightarrow \sf y = -\dfrac{3}{5} x + 3[/tex]

[tex]\rightarrow \sf y = -\dfrac{3}{5} x + \dfrac{15}{5}[/tex]

[tex]\rightarrow \sf 5y =-3x+15[/tex]

[tex]\rightarrow \sf 3x+5y =15[/tex]

Take two points

(0,3)(5,0)x intercept=a=5y intercept=b=3

So

equation of line in intercept form

[tex]\\ \rm\rightarrowtail \dfrac{x}{a}+\dfrac{y}{b}=1[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{x}{5}+\dfrac{y}{3}=1[/tex]

Multiply each by 15

[tex]\\ \rm\rightarrowtail 3x+5y=15[/tex]

Ms. Lynch drove her new car
50000000 fast (12 miles in 6 mins.)
that she nearly scared Ms. Allen to
death; who was riding in the car.
What is her speed in miles per hour?

Answers

Answer:

120 miles/hour

Step-by-step explanation:

6 x 10= 60 min

12 x 10= 120 miles

Answer:

Definitely 120 miles per hour.

Step-by-step explanation:

First, if she drove 50,000,000 fast, you need to do 6 minutes x 10 because 10 can go into 50,000,000. So, yes, it's 60. But that isn't right... it's too short. Try the next one.

How about we do the miles. 12 miles x 10 will get you your answer; 120.

I honestly don't know what I'm doing. It most likely isn't 120, but I did the math, and it was hard.

Write down the irrational numbers from the following.

1/3, 0.65, square root 6, 2/5, cube root 8, pie​

Answers

As we can see the value of root 6 does not terminate after 3 decimal places. It can still be extended further. Hence, this makes √6 an irrational number.

hope it will help you..

solve 2-6(1-x)=6-4(-x-2) for x

Answers

Answer:

x = 9

Step-by-step explanation:

Simplifying

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

2 + (1 * -6 + -1x * -6) = 6 + -4(-1x + -2)

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

Combine like terms: 2 + -6 = -4

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

Reorder the terms:

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

-4 + 6x = 6 + (-2 * -4 + -1x * -4)

-4 + 6x = 6 + (8 + 4x)

Combine like terms: 6 + 8 = 14

-4 + 6x = 14 + 4x

Solving

-4 + 6x = 14 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-4 + 6x + -4x = 14 + 4x + -4x

Combine like terms: 6x + -4x = 2x

-4 + 2x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0

-4 + 2x = 14 + 0

-4 + 2x = 14

Add '4' to each side of the equation.

-4 + 4 + 2x = 14 + 4

Combine like terms: -4 + 4 = 0

0 + 2x = 14 + 4

2x = 14 + 4

Combine like terms: 14 + 4 = 18

2x = 18

Divide each side by '2'.

x = 9

Simplifying

x = 9

These two pentagons are similar.​

Answers

If two pentagons are similar, then their sides are proportional. To find PT, we'll need to set up a proportion.

AE / PT = AB / PQ

---There are many ways to set up this proportion, it just depends on what side lengths you have and ensuring that they match up on both shapes.

6 / x = 5 / 12.5

5x = 75

x = 15

Length of PT = 15 cm

Option C

Hope this helps!

Use the multiplier method to increase 88 pounds by 14% you must show your working

Answers

Answer:

100.32

Step-by-step explanation:

First, we have to find 14% of 88

14% of 88 is = 88 x 14/100

                  = 12.32

Now we have to increase the number 88 by 14%, which means we have to add 14% of 88 (12.32) to the given number (88)  

88 + (14% of 88)

= 88 + 12.32

=100.32 pounds

If p
=
1
2
, q
=

1
3
and r
=
1
5
, evaluate the following expression:
30
p
q
r
(
p
+
q
+
r
)
(
p
+
q
)
(
p
+
r
)

Answers

Answer:

26535600

Step-by-step explanation:

This took so much work to get into a format I could read hahaha!

I hope it helps!

30 x 12 x -13 x 15(12+-13+15)(12+-13)(12+15) = 26535600

Given QR || TU. Enter segments in the blanks provided that would result in a true
equation.

Answers

The similar Triangle OPN and triangle LMN are similar have the ratio LM / MN = OP / NP

What are similar figures?

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

Triangle OPN and triangle LMN are similar, hence:

LM / MN = OP / NP

The similar Triangle OPN and triangle LMN are similar have the ratio LM / MN = OP / NP

Find out more on similar figures at: https://brainly.com/question/2644832

Matia claims "When you square any number, the result is always greater than that number." Matia used the example 32 = 9 and 9 is greater than 3

Answers

Answer:

[tex] {3}^{2} = 9 \\ \\ 81 = 9[/tex]

Answers:

Choice A) 0

Choice B) 0.5

=======================================================

Explanation:

Matia claims that [tex]x^2 > x[/tex]

However, the claim isn't true when 0 ≤ x ≤ 1.

For example, x = 0 leads to [tex]x^2 = 0^2 = 0[/tex]

Meaning that [tex]x^2 > x[/tex] would update to [tex]0 > 0[/tex] which is false.

------------------

Similarly, if x = 0.5, then

[tex]x^2 > x\\\\0.5^2 > 0.5\\\\0.25 > 0.5 \ \text{which is also false}\\\\[/tex]

Because the last inequality is false, the first inequality must also be false for x = 0.5

-------------------

Those last two previous sections showed that x = 0 and x = 0.5 are counter-examples to Matia's claim to thereby prove it false.

What is the solution to the equation below?
5x = 2x + 12
O A. x = 4
B. x= 12
C. x= 6
O D. No Solutions
SUBM

Answers

Answer:

5x=2x+12

5x-2x=12

3x=12

x=4

A is the coreect one

Write the equation for circle below

Answers

Answer:

Step-by-step explanation:

what is the answer for this?

Answers

Answer:

0.729 cubic millimeters

Step-by-step explanation:

Here,

Length ( l ) = 0.9 mm

Base ( b ) = 0.9 mm

Height ( h ) = 0.9 mm

l = b = h = 0.9 mm = a

To find : Volume

This shape is a cube.

Formula : -

Volume of cube = a³

Volume of cube

= 0.9³

= 0.9 x 0.9 x 0.9

= 0.729 cubic milimeters

Answer:

Formula for volume of cube;

V = [tex]s^{3}[/tex]

Where 's' represents one side of a cube which is being cubed.

or

V = w · l · h

Where 'w' stands for the width, 'l' is the length, and 'h' represents the height.

For this, I'll be using the formula [tex]s^{3}[/tex].

What we know:

Width = 0.9 mmLength = 0.9 mmHeight = 0.9 mm

Use one of these sides to substitute for 's';

V = [tex]s^{3}[/tex]

V = 0.9^3 ← (The " ^ " symbol is another way of showing to the power of.)

V = (0.9 · 0.9 · 0.9)

V = 0.729 mm, the volume of this cube is 0.729 cubic millimetres.

Directions: Find each missing measure. 1.​

Answers

Answer:

1. 19 Degrees

2. 63 Degrees

3. 37 Degrees

4. 119 Degrees

5. 69 Degrees

6. 71 Degrees

7.1 65 Degrees

7.2 48 Degrees

7.3 42 Degrees

Step-by-step explanation:

Angles in a triangle always add up to 180 degrees. (180-79-82=19 for the first one)

The little box in a triangle represent 90 degrees.

7.2 Vertical Angles are equal to each other

ab" that goes through points (0,9)
Write an exponential function in the form y
and (10,9216).

Answers

[tex]y = ab^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{9})\qquad \implies 9=ab^0\implies 9=a(1)\implies 9=a~\hfill \underline{y=9b^x} \\\\\\ (\stackrel{x}{10}~~,~~\stackrel{y}{9216})\qquad \implies 9216 = 9b^{10}\implies \cfrac{9216}{9}=b^{10}\implies 1024=b^{10} \\\\\\ \sqrt[10]{1024}=b\implies 2=b~\hfill \underline{y=9(2)^x}[/tex]

The Exponential function is [tex]y = 9(2^{x} )[/tex]

What is Exponential function?

The mathematical expression for an exponential function is f (x) = aˣ where “x” denotes a variable and “a” denotes a constant that is the base of the function and ought to be greater than 0. The most regularly utilized remarkable capability base is the supernatural number e, which is roughly equivalent to 2.71828.

Given function

y = abˣ

and coordinates (0, 9) and (10, 9216)

when x = 0,  y = 9

[tex]y = ab^{x}[/tex]

substitute values

9 = ab⁰

9 = a

and [tex]y = ab^{x}[/tex]

when x= 10 and y = 9216

9216 = 9(b)¹⁰

1024 = b¹⁰

[tex]\sqrt[10]{1024}[/tex] = b

b = 2

[tex]y = 9(2^{x} )[/tex]

Hence equation is [tex]y = 9(2^{x} )[/tex].

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Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5.1% compounded quarterly. round your answer to the nearest cent. a. $1,125.69 c. $1,518.85 b. $1,127.86 d. $1,508.31

Answers

The quarterly payment will be $1,127.86

What is compound interest?

Compound interest is the interest on a loan or deposit that  levied on both the first principal and the collected interest from past periods.

The amortization formula is ...

[tex]A=\dfrac{P\timesr}{(1-(1+r)^{-n}}[/tex]

where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.

Here, we have

P=$16,231, r=0.051/4=0.01275, n=4·4=16.

So, the payment is ...

[tex]A=\dfrac{16231\times 0.01275}{1-(1.01275)^{-16}}[/tex]  

[tex]A=$1127.86[/tex]

Hence the quarterly payment amount is $1,127.86.

To know more about Compound interest, follow

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The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground at a
distance of 2 miles from the base of the building. Using this information, find the height of the building.

Answers

Building height is 225.07m

Which of the following functions represents an exponential decay with a 15% rate of change where A represents the initial value and x represents time in years

Answers

The function that represent this exponential decay is given as y = A(0.85)ˣ

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given that A is the initial value, there is a decay of 15%, hence:

b = 100% - 15% = 0.85

The function that represent this exponential decay is given as y = A(0.85)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

I need help with this math question, please.


Sandra decides to alter the design of the rectangular lunch box so that one dimension of the bottom of the box is 1.25 times the height of the box, as shown in the diagram below. She still wants the volume of the box to be 355 in.^3. Write an equation in terms of W

Answers

The volume of the rectangular lunch box is the amount of space in it

The volume in terms of W is LW^2 = 443.75

How to determine the volume expression?

The volume is given as:

V = 355

Let the width of the box be W, and the height be H; such that:

W = 1.25H

Make H the subject

H = W/1.25

The volume is calculated as:

V = LWH

So, we have:

355 = L * W * W/1.25

Multiply through by 1.25

443.75 = L * W * W

This gives

443.75 = LW^2

Rewrite as:

LW^2 = 443.75

The diagram is not given. So, the question cannot be solved further

Hence, the volume in terms of W is LW^2 = 443.75

Read more about volumes at:

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Given h(r) = 5r-5,find h(2)

Answers

hello!

[tex]===================================[/tex]

let's find the value of h(2)

we know that

h(r)=5r-5

which means

h of r is 5 times r minus 5

hence

h of 2 is 5 times 2 minus 5

simplify:

h(2)=5(2)-5

h(2)=10-5

h(2)=5

[tex]==================================[/tex]

note:-Hope everything is clear; if you need any more explanation/clarification, kindly ask me, and I will comment and/or edit my answer :)

Answer:

5

Step-by-step explanation:

h(2)=5r-5

=5×2-5

=10-5

=5

i need to find the volume of a cylinder and the radius is 10 cm and height is 8 cm

Answers

Answer:

2513.27

Step-by-step explanation:

V=πr^2h=π·102·8≈2513.27412

show work pls hahhhh

Answers

Answer:

27

Step-by-step explanation:

[tex]\frac{3^2\left(2^3+4\right)}{2^2}[/tex]

[tex]\mathrm{Solve\;3^2\cdot(2^3+4):108}[/tex]

[tex]\mathrm{Solve\;2^2:4}[/tex]

[tex]=\frac{108}{4}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{108}{4}=27[/tex]

~Lenvy~

What is the outlier in the data set shown below?


A. 6
B. 36
C. 40
D. 46
Where do rivers usually begin?

Answers

The outlier is 6. This is because it is the greatest distance from the other options.

Rivers always begin at a source which usually is a watershed or an area of higher elevation, but can also be somewhere else.

Omar thinks his pet goldfish, Finn, might be lonely. So, Omar buys another goldfish to keep Finn company. He also buys a large 10-gallon tank so the two fish can swim together. If Finn currently lives in a 2-quart fish bowl, how many times bigger is his new tank than his old bowl?

Answers

Answer:

i think 20 times bigger  

Step-by-step explanation:

Answer:

times 20

Step-by-step explanation:

2 quart to 10 gallon

4 quarts= 1 gallon

So 2quarts x 20 quarts= 40 quarts= 10 gallons

4. What is the proper way of naming the line at the right? A. ab B. ba C. AB D. AB

Answers

Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

2 1/3 + 3 1/8 + 1 1/24

Answers

Answer:

the answer is 6 1/2

Step-by-step explanation:

I solved using calculator

Answer:

6 1/2

Step-by-step explanation:

A notebook company makes notebooks with covers in 2 different colors. A school district ordered 301 notebooks in each color. How many notebooks in total did the school district order?

Answers

Answer is 602 because we just take 301 times 2 because there is only two types of book in company and 301 book are ordered in each type so we just take 2 times 301

what is 68% as a fraction

Answers

17/25 would be the fraction

The percentage 68% is converted into a fraction number as 17/25.

What is a fraction number?

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

The amount of any product is presented as though it were a percentage of a hundred. The ratio is one-quarter of one hundred.

The faction number is given in the form of a percentage. Then the percentage is converted into a decimal number by dividing 100.

⇒ 68%

⇒ 0.68 x 100 / 100

⇒ 68 / 100

⇒ 17 / 25

The percentage 68% is converted into a fraction number as 17/25.

More about the fraction number link is given below.

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