Which of the following pairs could be reasonable approximations for the diameter and circumference of a circle? 18 inches and 57 inches 3 centimeters and 28 centimeters 33 meters and 80 meters

Answers

Answer 1

Answer:

18 inches and 57 inches

Step-by-step explanation:

The diameter and the circumference of a circle are proportionate to each other.

The circumference of a circle will always be the diameter times [tex]\pi[/tex]. We know this because the circumference of a circle is represented as

[tex]2 \pi r[/tex]

Since the diameter is twice the radius, we multiply the radius by 2 - there's already a [tex]\cdot 2[/tex] in this equation, so [tex]c = \pi d[/tex].

1st option: [tex]18\cdot3.14 = 56.52[/tex], this is close to 57 so it's reasonable.

2nd option: [tex]3\cdot 3.14 = 9.42[/tex], this isn't close to 28 at all.

3rd option: [tex]33 \cdot 3.14 = 103.62[/tex], this isn't close to 80 at all.

So the 1st option is reasonable.

Hope this helped!

Answer 2

Answer:

First option: 18 inches diameter, 57 inches circumference

Step-by-step explanation:

Circumference of a circle is...

2 * radius * pi

We can approximate pi (3.14159...) to 3.

So the circumference of a circle is approx.

2 * radius * 3

We know the diameter of a circle is 2 times the radius...

diameter = 2 * radius

Thus, the circumference of a circle is approximately...

diameter * 3

First option:

Diameter 18, circumference 57

Let's try our approximation

18 * 3 = 54

We see that 57 is pretty close and is a reasonable approximation.

Second option:

Diameter 3, circumference 28

3 * 3 = 9

Not even close to 28.

Third option:

Diameter 33, circumference 80

3 * 33 = 99

Closer, but much further off than our first option.


Related Questions

HELP ME PLEASE I NEED THIS LOVE U GUYS <33

Answers

Answer:

[tex]\huge\boxed{\sf Volume = 384 \ cm^3}[/tex]

Step-by-step explanation:

Slant Height = 10 cm

Base Edge = 12 cm

Finding the Height using Pythagorean Theorem:

[tex]\sf c^2 = a^2 + b^2 \\\\Where \ c = 10\ cm , b = 6\ cm [Half of 12] \ and \ a \ is \ height\\\\10^2 = a^2 + 6^2\\\\100=a^2 +36\\\\100-36 = a^2\\\\64 = a^2\\\\Taking \ sqrt \ on \ both \ sides\\\\Height= 8 \ cm[/tex]

[tex]\rule[225]{225}{2}[/tex]

Now, Finding the volume:

[tex]\sf Volume = a^2 \frac{h}{3}\\\\ Where \ a \ is base \ edge \ and \ h \ is \ height\\\\Volume = (12)^2 \frac{8}{3} \\\\Volume = 144 \frac{8}{3} \\\\Volume = 48*8\\\\\bold{Volume = 384 \ c m^3}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

A(7.2) maps to A (10,-1) through a translation. B'(2, 4) is the result of the same
translation on point B. What are the coordinates of point B?

Answers

It’s a because 7.2 is the maps to a 10,1

9x-6y=-20 through (0,-4)

Answers

To make the equation go through (0,-4) the new equation would be 9x + 5y = 20. We needed to change it from subtracting to adding so the direction of the line would go from going down to up too up to down. In slope-intercept form the original equation would be found by the following.

9x - 6y = 20

-6y = 20 - 9x

y = -20/6 - (-9/6x)

y = 9/6x - 20/6

y = 3/2x - 10/3

To make the perpendicular line, take the slope and apply the opposite and reciprocal.

y = -2/3x - 10/3

Best of Luck!

the triangle shaped entrance to the cavern i 1 1/2 feet tall and 4 feet wide whats the area

Answers

A=1/2 b*h
So substitute it in 1/2*1/2*4
1/2*1/2= 1/4
1/4*4= 4/4= 1 so the entrance is 1 foot tall
When an individual specializes to produce one good, and then acquires additional desired goods from other specialists

A) both parties gain as a result of voluntary exchange.
B) both parties gain as a result of fraudulent exchange.
C) neither party gains as specialization decreases efficiency.
D) neither party gains as specialization decreases productivity.

Layla uses 1.75 cups of sugar per batch of cookies. How many cups of sugar would she require to bake 9 batches of cookies?

Answers

Answer:

15.75 cups

Step-by-step explanation:

If she uses 1.75 cups each batch to find how much she uses for 9 batches you just multiply 1.75 by 9 which gives you 15.75 cups

Carina begins to solve the equation Negative 4 minus two-thirds x equals negative 6 by adding 4 to both sides. Which statements regarding the rest of the solving process could be true? Select three options. After adding 4 to both sides, the equation is Negative two-thirds x equals negative 2. After adding 4 to both sides, the equation is Negative two-thirds x equals negative 10. The equation can be solved for using exactly one more step by multiplying both sides by Negative three-halves. The equation can be solved for x using exactly one more step by dividing both sides by Negative two-thirds. The equation can be solved for x using exactly one more step by multiplying both sides by Negative two-thirds.

Answers

Answer:

options 3 and 4 are correct

Step-by-step explanation:

And form the remainder of the problem, you isolate x by just multiplying by the negative reciprocal, which is -3/2, or just dividing by the number in front off x, which is -2/3, which makes statements three and four true. so this makes this three and four options

I hope this helps you :)

-KeairaDickson

Two options namely " After adding 4 to both sides, the equation is negative two-thirds negative 2" and the statement " the equation can be solved for x using exactly one more step by multiplying  both sides by Negative three-halves."

What is a linear equation?

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

Given here  -4-2/3x +4=-6+4

                 ⇒-2/3x = -2

                 ⇒ -2/3x ×3/2 = -2 ×3/2

                 ⇒ x = 3

Hence the final answer is 3.

Learn more about linear equations here:

https://brainly.com/question/21835898

#SPJ5

−5y ^2+5−4−4y^2+5y^2−4x^3 −1

Answers

Answer:

In simplified/simplest form and in descending order, your answer would be: -4x^3 - 4y^2. Hope this helps!  

The answer is -4y^2-4x^3

do you know the awnser to 4(-8x+5)-(-33x-26)=

Answers

Answer:

x+46

Step-by-step explanation:

-32x+20+33x+26=

x+20+26=

x+46

Answer:

x +46

Step-by-step explanation:

4(-8x+5)-(-33x-26)=

Distribute

-32x+20 +33x +26

Combine like terms

x +46

PLSSS HELPPPPP I WILL GIVE BRAINLIESTTTT!!!!!!!

Answers

Answer:

Step-by-step explanation:

We can form a table for the relation between muffins sold and days of the week given in the graph.

Days                    Muffins sold

Monday                       5

Tuesday                      6

Wednesday                 5

Thursday                     8

Friday                          10

Saturday                      13

Sunday                        15

This data reflects the sales of muffins are increasing continuously in the given week.

Therefore, number of muffins sold are directly proportional to the number of days of the week.

A catering company provides a quote for $210 worth of finger food for an afternoon function with 29 people. What is the rate of dollars per person? (Round to the nearest cent, and include appropriate units in your answer)

Answers

answer:

about $7.24 per person

reasoning:

divide 210 by 29 and round to the hundredths place

bob lives 5 miles south and 17 miles east of ana how far are their houses apart

Answers

Answer:

22 miles they travelled

There are 8 soccer teams for the 110 players in the league. The league wants the same number of players on each team. Which explains whether or not it is possible?

A. It is possible to split the players into 8 teams because each team would have 13 players.
B. It is possible to split the players into 8 teams because each team would have 14 players.
C. It is not possible to split the players into 8 teams with the same number of players. It would be possible if there were a total of 100 players.
D. It is not possible to split the players into 8 teams with the same number of players. It would be possible if there were a total of 120 players.

Answers

Answer:

The answer is D

Step-by-step explanation:

When you divide 110 by 8 that equals 13.75 but when you divide 120 by 8 you get 15.

Hopefully this helps you :)

Answer: the answer is ;D

Step-by-step explanation: it is not possible to split the players into eight teams.with the same number of players it would b possible if there were 120 players.

If x = 2 and y = −3, then −x y² = A) −36 B) −18 C) −12 D) 12 E) 18

Answers

Answer: E

Step-by-step explanation:

(-3^2) multiply -3 by itself to get -9

Now you have -2 x -9 or -2(-9)

Remember that multiplying a negative by a negative will get you a positive because the two negative signs are canceled out.

So -2(-9) gives you 18

Hope this helps!

determine sen 0 y tan 0,si 0= 2/3 y cot 0>0

Answers

Answer:

the answer of your question is 0

Step-by-step explanation:

the answer is 0

You have $55 in your bank account, and you would like to buy a new phone for $395. You can save $5 for each hour you work. How many hours must you work to buy it?

Answers

Answer:

(At least) 68 hours

Step-by-step explanation:

So we already have $55 in our bank account.

And we earn $5 per hour.

In other words, the total amount of money in our account after working x hours is represented by the equation:

[tex]y=5x+55[/tex]

We want to buy a new phone that costs $395. To find out how many hours we need to work, substitute 395 for y. Thus:

[tex]395=5x+55[/tex]

Subtract 55 from both sides:

[tex]340=5x[/tex]

Divide both sides by 5:

[tex]x=68[/tex]

Therefore, we must work for (at least) another 68 hours in order to earn enough money to purchase the phone.

Fill in the missing series
4,8, 28,80,244,......

Answers

333 is the answer I think

Answer:

728.

Step-by-step explanation:

extremely hard to explain but i am sure that it is correct :)

Whats the answer to 26.02 x 2.006

Answers

Answer:

52.19612

Step-by-step explanation:

hope this helps

plz help i wil mark u banlyest

Answers

Answer:

B

Step-by-step explanation:

when you flip across the y axis you change the signs of the x coordinate but not the y coordinate.

1 and 2 thirds + 1 and a half ?

Answers

Answer:

19/6

Step-by-step explanation:

1 2/3= 5/3 = 10/6

1.5= 3/2= 9/6

10/6+9/6=19/6

Which equations are related equations to x+5=34

Answers

Steps to solve:

x + 5 = 34

~Subtract 5 to both sides

x = 29

Best of Luck!

What are the possible steps involved in solving equation shown ?
3.5 + 1.2(6.3-7x) =9.38

Answers

Answer:

x = 0.2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

3.5 + 1.2(6.3 - 7x) = 9.38

Step 2: Parenthesis (distribute)

3.5 + 7.56 - 8.4x = 9.38

Step 3: Combine like terms (constants)

11.06 - 8.4x = 9.38

Step 4: Subtract 11.06 on both sides

-8.4x = -1.68

Step 5: Divide both sides by -8.4

x = 0.2

23.A chef ordered 400 pounds of potatoes in same-sized bags. Which expressions show
the number of bags and number of pounds of potatoes per bag the chef may have
ordered? Choose all that apply.
E 50 x 80
80 x 5
B 10 x 40
0 20 x 20
© 20 x 20

Answers

Answer:

10*40

80*5

20*20

Step-by-step explanation:

20*20=400

80*5=400

10*40=400

Which of the following is the solution to 4 | x+3|2 8 ?

Answers

Step-by-step explanation:

|x + 3| = 2

x = -1 or x = - 5..............

39. Given: p: x is greater than 20. q: x is divisible by 5
What is the truth value of p^ when x is replaced by 25?
p^q is sometimes true
Not enough information is provided.
p^q is true
p^q is false

Answers

Answer:

p ^ q is  true

Step-by-step explanation:

25>20 so p is true

25 is  divisible by 5 so q is true

p ^ q is  true

what is -5 + (-10) = ? solve answer this problem

Answers

-5+-10 can also be written as -5-10.

An easy way to do it(this is how I solve it) is to add it like 5+10 then slappa a negative sign in front.

5+10=15

-15

hope it helps!

simplify the equation (2x³) (x⁴)² / 8x¹¹

Answers

Answer:

Hey there!

(2x³) (x⁴)² / 8x¹¹

2x^3(x^8)/8x^11

2x^11/8x^11

1/4

Let me know if this helps :)

Find the surface area of the triangular prism

Answers

Answer:

169 cm^2

Step-by-step explanation:

Right surface (rectangle)

A = LW = 7 cm * 5 cm = 35 cm^2

Left surface (hidden rectangle)

A = LW = 7 cm * 5 cm = 35 cm^2

Bottom surface (hidden rectangle)

A = LW = 9 cm * 5 cm = 45 cm^2

Front face = back face = 2 * triangle

A = 2 * bh/2 = 2 * 9 cm * 6 cm/2 = 54 cm^2

total surface area = 35 cm^2 + 35 cm^2 + 45 cm^2 + 54 cm^2 = 169 cm^2

Find the sum of 4x2 – 7 and 6x2 – 5.

Answers

Answer:

the answer is 1 and 7

Step-by-step explanation:

4 times 2 is 8 -7 =1

6 times 2 =12 -5 =7

Answer:

First problem equals 1 and second problem equals 7.

First multiply 4x2 to get 8, then subtract it by 7.  That would leave you with 1.

Now, 6x2 would be 12 minus 5 which would equal 7.

What is 1.4 repeating as a percent.

Answers

Answer:

140%

Step-by-step explanation:

Move the decimal over to the right two places!

:D

Answer: 140 percent I hope this answers your question!

Pls help solve the equation

Answers

Answer:

34 boxes

Step-by-step explanation:

Please see attached picture for full solution.

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