15. The diameter of a circle is given as 10 cm, correct to the nearest cm. Calculate:
a) the maximum possible circumference
b) the minimum possible area of the circle consistent with this data

Answers

Answer 1

Answer:

10cm correct to nearest cm" means the diameter could be arbitrarily close to (but less than) 10.5 cm. So the maximum possible circumference is 10.5π cm.

"10cm correct to nearest cm" also means that the diameter could be arbitrarily close to (but greater than) 9.5 cm. So the minimum possible area is π(9.5)²/4 cm²


Related Questions

Given that sin θ = 3/4 and θ is in Quadrant II:
Find cos θ.

Answers

this is for the Sin

*Remember that sin = opposite / hypotenuse*

a² + b² = c² (where a and b are legs and c is the hypotenuse)

From the picture, you can see:

a = 3

c = 4

Plug these into the equation and solve for b.

* a² + b² = c² *

step 1: 3² + b² = 4²

step 2: 9 + b² = 16

step 3: b² = 16 - 9

step 4: b² = 7

step 5: √(b²) = √7

step 6: b = ± √7

FOR COS:

From the picture,  you can see that if θ is in quadrant II, b has to be negative.

b = -√7 = adjacent

Remember that cos θ = adjacent / hypotenuse.

cos θ = adjacent / hypotenuse

cos θ = (-√7 / 4)

solve.
1/x = 1/5x = x-1/5x

Answers

Answer:

5=x=x-1

Step-by-step explanation:

Mutiply each equation by 5x

You will get 5=x=x-1

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

Answers

Answer:

2

Step-by-step explanation:

Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-4-(-2)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2

The slope of the line will be "[tex]-\frac{2}{3}[/tex]".

The given points are:

[tex](x_1, y_1) = (0, -2)[/tex]

[tex](x_2, y_2) = (3, -4)[/tex]

As we know,

→ The slope of the line:

= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

= [tex]\frac{-4-(-2)}{3-0}[/tex]

= [tex]\frac{-4+2}{3}[/tex]

= [tex]-\frac{2}{3}[/tex]

Learn more about slope of line here:

https://brainly.com/question/18891994

Find the slope of the line.

Answers

Answer:

4

Step-by-step explanation:

Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game?
y-22=10x y=22x-10 y=22x+10 22x+y=10

Answers

The equation of the line is Y =22x + 10

how do I solve 9x-4= -44​

Answers

9x - 4 = -44
•add 4 to both sides to isolate the variable
9x = -40
•divide both sides by 9 to isolate the variable
x = -40/9 or −4.444...

answer this i need it quick PLEASE

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]

[tex]13x - 37 = 4x + 26[/tex]

Subtract sides 4x

[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]

[tex]9x - 37 = 26[/tex]

Add sides 37

[tex]9x - 37 + 37 = 26 + 37[/tex]

[tex]9x = 63[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]

[tex]x = 7[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]DE = 2x + 13[/tex]

[tex]DE = 2(7) + 13[/tex]

[tex]DE = 14 + 13[/tex]

[tex]DE = 27[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is Option four .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

can someone explain how to calculate a unit rate ​

Answers

Answer:

It's like 60 miles per (1) hour or 20 mL per (1) second. Independent value has to equal 1.

find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.​

Answers

Answer:

√3, and -√3

Step-by-step explanation:

to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x

x²-3=0 add 3 to both sides to isolate x

x² = 3 squareroot both sides

√x²= √3

x= ±√3 are the two zeros

Зу +6 - 4(х - 9) Standard Form​

Answers

Answer:

3y + 42 -4x

Step-by-step explanation:

3y +6 -4(x-9) distribute -4 through the  ( )

3y + 6 -4x + 36   calculate add the numbers

3y + 42 -4x

Help me solve this problem please

Answers

Answer:

sorry im just answering this cuz need points

Step-by-step explanation:

the polygons in each pair are similiar. help find the missing side length???

Answers

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

Since the polygons are similar, we can use the formula: [tex]\frac{x}{15}=\frac{32}{40}[/tex]. Using cross-multiplication , we obtain: [tex]40x=15*32\\x=\frac{15*32}{40}= 12[/tex].

There are 8 big fish for every
small fish.
There are 4 big fish for every
small fish.

Answers

So what’s the question-

6w-19+k when w=8 and k=2

Answers

Substitute

6(8) - 19 + (2)

6(8) = 48

48 - 19

29 + 2 = 31

Answer:

f

Step-by-step explanation:

f

What is 7x=5y x 6. Plllllssss heeelllp meh. Im stupid and don't know what this is.

Answers

Answer:

x=0

Step-by-step explanation:

"x6"   was replaced by   "x^6".

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :7x-(5y*x^6)=0

7x -  5x6y  = 0

7x - 5x6y  =   -x • (5x5y - 7)

-x • (5x5y - 7)  = 0  Hope this helps and you are not stupid everybody has at least something that they dont understand :)))

                   

what is the value of x​

Answers

Umm there is no numbers

PLEASE PLEASE PLEASE HELP I WILL GIVE XTRA POINTS AND BRAINALIST TO FIRST PERSON

Answers

Answer:

the answer is A because it has all numbers less than 15

Step-by-step explanation:

Laundry detergent is priced at 20 ounces for $3.40 or 14 ounces for $2.10.what is the the unit rate of the laundry detergent that is better value?

Answers

Answer:

0.17 cents per ounce, which is the 20 ounce

Step-by-step explanation:

3.40 / 20 = 0.17 cents per ounce

2.10/14 = 0.15 cents per ounce

Answer:

14 Ounces for $2.10

Step-by-step explanation:

To find the answer you need to find the cost per ounce by dividing the cost by the ounces

3.40/20 = 0.17. So $0.17 per ounce

2.10/14 = 0.15. So $0.15 per ounce

A. an angle measures . What is the measure of its supplement?

B. An angle measures . What is the measure of its complement?

there are 2 parts plz answer both.

Answers

Answer:

Fkgjjgjvvkvkkv

Step-by-step explanation:

Mcmvvnvnvfngnfkkfkfkfxkcjccnvnvnvvn

Hhh

HELPPPP! ILL GIVE YOU BRAINLIEST!

Answers

Answer:Can you put the question?? Thank You

Step-by-step explanation:

Answer:

what can i help with?

Step-by-step explanation:

PLEASE HELP ME 16 POINTS PLEASE HELP

Answers

Answer:

Slope: Rise/run

= -2/4

= -1/2

Answer:

-1/2

Step-by-step explanation:

Like I said in your previous question!!

RISE/RUN.

Choose a point, rise how many you need to, then run. Since you run 'backwards' after rising, this slope is negative!

I hope this helps!!

Kendall bought a vase that was priced at $450. in addition, she had to pay 3% sales tax. How much did she pay for the vase?

Answers

Answer:

$463.50

Step-by-step explanation:

3% of 450 is 13.50

450+13.50=463.50

hope this helps :3

if it did pls mark brainliest

463.5 idrk

but 3& make it into a decimal so .03 then multipy it by 450 then you get 13.5 you add it to 450 and get 463.5

7/2x+1/2x=6+5/2x pls help

Answers

Answer:

4

Step-by-step explanation:

7/2+1/2=8/2

8/2=6=5/2

8/2-5/2=3/2

3/2=6

3/2=1.5

6/1.5=4

Today only every sweatshirt is $5.75 less than normal price. Right now if you buy 5 sweatshirts. The total cost will be $78.75. What is the normal price of the sweatshirt?

Answers

im pretty sure it’s 15.77 because if you divide $78.75 by 5 you get that.

Answer:

13.695

Step-by-step explanation:

78.75/5=15.75/5.75=2.739*5=13.695

Using the equation y = 3x – 5, what would the output be for an input of 4

Answers

The input is the x-coordinate and the output is the y-coordinate. If the input is 4, plug 4 into the x variable to find the output, y.

y=3(4)-5
y=12-5
y=7

The output is 7.

Answer:

output(y)=7

Step-by-step explanation:

y=3(4)-5

<=> y= 12-5

<=> y= 7

i need help ASAP ill mark u a brainiest i need an answer thats it

Answers

Answer:

I think it's 7.5 correct me if i'm wrong

Step-by-step explanation:

7.5 is half of 15

Use the midsegement theorem

A line with a slope of 3 passes through (2,5). Which choice is an equation of this line?

Answers

Answer:

y=3x-4

Step-by-step explanation:

a slope of 3 means that the equation will definitely start like this

y=3x +/- b

to find b, substitute the coordinates given, so

5=3 x 3 +/- b

5=9 +/- b

5-9=b

-4=b

so the equation would be

y=3x-4

I don’t know another way to find the intercept so I backtracked. The slope is 3, so it rises by three and “runs” right by 1. So I went down 3 and left 1 till I got the intercept. The first point was (1,2). The second I got was (0,-1). Then I used Desmos to graph it.

Help me now!!!!! This is due at 12

Answers

16

i know this because
2 x 9 = 18
4 x 9 = 36
and 14 x 9 = 126

so, the constant of this proportional ratio table is 9

144 divided by 9 is 16

Answer:

umm what grade are you in???

144/9= 16!!!!!

Step-by-step explanation:

anyways wont act exactly like you and the answer is 16

The sum of 3r2 + 58 - 6 and -r2 + 3x + 9 is?

Answers

Answer:

2r ^2  +61+3x

Step-by-step explanation:

1 Collect like terms.

(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r

​2

​​ −r

​2

​​ )+(58−6+9)+3x

2 Simplify.

2{r}^{2}+61+3x2r

​2

​​ +61+3x

Find the length of the diagonal of a square with perimeter 56

Answers

Answer:

About 19.8

Step-by-step explanation:

First find the side lengths. In this example, 56/4=14

Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.

Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.

Other Questions
Part b which details support the answer to part a The following sentence has a misplaced modifier.Tired of studying and writing research papers, summer vacation came as a relief to the student.Which revision corrects the error in the sentence?Summer vacation came as a relief to studying and writing research papers for the student.Relief to the student came as summer vacation, which was tired of studying and writing research papers.Summer vacation came as a relief to the student, who was tired of studying and writing research papers.The student, who was tired of studying and writing research papers, came to summer vacation as a relief. A squirrel runs across a road in 3 seconds. The road was more than 34 feet wide._______________________________________________________Which inequality can be used to determine the squirrels speed? _____What is the solution to the inequality? Round to the nearest tenth, if necessary. _____How can you interpret the solution? ____________________________________________________________A) 3r > 34, 3r 34r/3 11.3r 10.2C) the squirrel ran at least 11.3 feet per secondthe squirrel ran faster than 11.3 feet per secondthe squirrel ran no faster than 102 feet per secondthe squirrel ran slower than 102 feet per second_______________________________________________________ How did Confucianism and the Chinese culture impact Japanese culture? How is the interest rate on a payday loan calculated?a.loan amount divided by total feesb.total fees divided by loan amountc.total fees divided by days of loand.APR divided by 365 Air enters a control volume operating at steady state at 1.2 bar, 300K, and leaves at 12 bar, 440K, witha volumetric flow rate of 1.3 m3/min. The work input to the control volume is 240 kJ per kg of air flowing. Neglecting kinetic and potential energy effects, determine the heat transfer rate, in kW. How do we perceive beauty today? Answer the question by referring to at least one contemporary work of art.please help Use benchmark values to estimate 7/10 + 7/8. 7 1/5 8/1 in simplest form? Write an expression that will print "in high school" if the value of user_grade is between 9 and 12 (inclusive). PLEASE ANYONE I NEED HELP!!!! what is the net ionic equation and what are the spectator ions of Bel2(aq) + PbSO4(aq) = BeSO4(aq) + Pbl2(s) What is the alien invasion in the Florida Everglades? Determine the market price of a $485,000, 10-year, 8% (pays interest semiannually) bond issue sold to yield an effective rate of 10%. even though humans and sharks are both vertebrates, there skeletons are made out of different materials. a human skeleton is made out of bone. a shark skeleton is made out of cartilage. cartilage is much more flexible a lighter bone. having a flexible skeleton helps sharks to able to change directions quickly while swimming. it also enables them to open their jaws really wide to take down and eat their prey. what was the authors purpose in writing this passage.A. to persuade the reader than a sharks skeleton is better then a human skeleton.B. to entertain the reader with some interest sharks facts.C. to inform the reader about the materiel that makes make up a sharks skeleton. Which process would correctly calculate the frequency of a wave?dividing speed by wavelengthdividing frequency by wavelengthmultiplying frequency by perioddividing wavelength by periodSOMEBODY PLEASE ANSWER! This test determines my grade. I want you to know that you are amazing, you are beautiful, you are smart, and you are worth it! It's okay to feel downbut eventually, you have to turn it aroundyou can't stay sulking forevereven if you're under pressureI know it will be toughand I know it will be roughbut I also know that you are enough Plz help !!!!!! ................................ Would you rather get tips or a commission for your wages? Why? Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mos Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill? Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents The graph below shows the cost that Hondo pays for apples. What does the point (0,0) on this graph mean?