A balloon has a radius of 7.25 cm. What is the approximate area of the circle, rounded to the nearest whole number?

Answers

Answer 1

Answer:

165 square cm

Step-by-step explanation:

Area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 7.25.

[tex]3.14 * 7.25^2[/tex] [tex]3.14 * 52.5625[/tex] [tex]165.04625[/tex] 165.04625 ≈ 165 square cm

Therefore, the answer is 165 square cm.


Related Questions

(Help) Find the measure of the missing angle

Answers

Solution:

Let the missing angle be x.

It should be noted:

The two diagonals form four isosceles triangles. (ΔBOC, ΔCOD, ΔDOA, and ΔAOB)∠DOA = ∠BOC = 44 (Vertically opposite angles)Interior angles of a triangle sum up to 180°

This means that...

44 + x + x = 180

Combine like terms.

44 + 2x = 180

Subtract 44 both sides.

2x = 180 - 44

Simplify the RHS

2x = 136

Divide 2 both sides.

2x/2 = 136/2=> x = 136/2 = 68°

Answer:

68°

Step-by-step explanation:

Remember :

The diagonals of a rectangle are equalHence, they will have equal angles on the corners of the shape

Solving :

∠DOA = ∠COB = 44° (Vertically Opposite Angles)Now, consider ΔDOA∠ODA = ∠OAD (Because angles opposing equal side lengths are equal)∠ODA + ∠OAD + ∠DOA = 180° (Angle Sum Property)2∠OAD + ∠DOA = 180°2∠OAD + 44° = 180°2∠OAD = 136°∠OAD = 68° (missing angle value)

Write the equation given the point 4,2 and slope 1/2

Answers

Hello.

We have a point that the line passes through and its slope.

Let's write the equation in Point-Slope Form:

y-y₁=m(x-x₁)

In this case,

y₁=2

m=[tex]\displaystyle\frac{1}{2}[/tex]

x₁=4

Plug in the values:

[tex]\mathrm{y-2=\displaystyle\frac{1}{2} (x-4)}[/tex]

This is point-slope form. Now, what about Slope-Intercept?

First, we should distribute [tex]\displaystyle\frac{1}{2}[/tex]:

[tex]\mathrm{y-2=\displaystyle\frac{1}{2} x-2}[/tex]

Add 2 to both sides:

[tex]\mathrm{y=\displaystyle\frac{1}{2} x-2+2}[/tex]

Simplify:

[tex]\mathrm{y=\displaystyle\frac{1}{2} x}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

Step-by-step explanation:

Slope intercept form: y = mx + b

here, m is the slope and b is the y-intercept.

[tex]y=\dfrac{1}{2}x+b[/tex]

The line passes through the point(4,2)

.Plugin these x ad y values in the above equation to find 'b'

[tex]2= \dfrac{1}{2}*4+b\\\\\\2=2+b\\\\b = 2 - 2[/tex]

b = 0

Equation of the line :

[tex]y =\dfrac{1}{2}x[/tex]


Find the length of the line segment whose endpoints are (-8,7) and
(6,4).

Answers

[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Endpoints \:of \: line \: segment \:are \:(-8,7) [/tex]

[tex]\sf and \:(6,4) [/tex]

[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]

[tex]\orange{\leadsto}\:[/tex][tex]\textsf{Length of the line} [/tex][tex]\sf [/tex]

[tex]\\[/tex]

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

>>Let us consider these points on a line segment AB such that point A and B lies on opposite ends

[tex] \\A( - 8,7) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: B(6,4)\\ \bull \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{} \bull \\[/tex]

We will find distance between points by distance formula-

[tex]\red{\underline{\boxed{\sf{Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}}}[/tex]

Here-

[tex]\sf x_2 = 6[/tex][tex]\sf x_1 = -8[/tex][tex]\sf y_2 = 4[/tex][tex]\sf y_1 = 7[/tex]

Putting Values:-

[tex]\begin{gathered}\\\longrightarrow\quad \sf AB = \sqrt{(6 - (-8)) ^{2} + (4-7) ^{2} } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{(6+8)^2 + (-3)^2} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{14^2+ (-3)^2 } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{196+ 9 } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{205} \\\end{gathered} [/tex]

[tex]\longrightarrow \sf length \:of \: the \: line \:segment \:whose \: \: [/tex]

[tex]\sf endpoints \;are \: (-8,7) \:and \:(6,4) \:is \: \sqrt{205} \;units [/tex]

Justin is 10 years older than Maggie. Four years ago, Justin was three times as old as Maggie. Find Justin’s age now.

Answers

Solution:

Note that:

J = 10 + MJ - 4 = 3(M - 4)

Finding Maggie's age:

J - 4 = 3(M - 4)=> J - 4 = 3M - 12=> M + 10 - 4 = 3M - 12=> M + 6 = 3M - 12=> 12 + 6 = 3M - M=> 18 = 2M=> M = 9

Finding Justin's age:

J = 10 + M=> J = 10 + 9=> J = 19

Let Justin's age be x

Let Maggie's age be y

ATQ,

[tex] \pmb {x = 10 + y} \\ \pmb{x-4=3(y-4)}[/tex]

Solve using the substitution method!!

In this way the equation will be easier to solve because we will get the value of both x and y together...

[tex] \pmb{10 + y - 4 = 3(y - 4)}[/tex]

[tex] \sf 6 + y = 3y - 12[/tex]

[tex] \sf y - 3y =- 12 - 6[/tex]

[tex] \sf - 2y =- 18 [/tex]

[tex] \sf y =9[/tex]

Substitute the value of y into the first equation

[tex] \pmb{x= 10 + y} \\ \pmb{x = 10 + 9} \\ \pmb{x = 19}[/tex]

Thus, Maggie's age is 9 and Justin's age is 19...~

One number is six more than twice a second number. If their sum is 120, find the smaller number

Answers

Answer: 38

Step-by-step explanation:

Step 1: use variables to replace the two numbers

the second number = x

six more than twice the second number = 2x + 6

Their sum is 120: 3x + 6 = 120

Step 2: solve the equation

3x = 114

x = 114/3 = 38

Step 3: check your answer (optional)

six more than twice 38 = 82

38 + 82 = 120

hope this helps

While at summer camp, Mike asked a random camper from each of the 12 cabins how many siblings he or she had. The results below display the responses.

3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1

If there are 48 campers altogether, use Mike’s data to infer the mean of the population. What is the mean number of siblings for the population rounded to the nearest unit?

1 sibling
2 siblings
3 siblings
4 siblings

Answers

B / 2 siblings

Step-by-step explanation:

edge 22 , hope it helped

The mean number of siblings for the population rounded to the nearest unit is 2.

What is mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Gien data is:-

3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1

The mean will be calculated as:-

Mean = ( 3 + 2 + 0 + 1 + 0 + 2 + 3 + 4 + 1 + 2 + 2 + 1 ) / 12

Mean  = 21  /  12

Mean = 1.75

Mean = 2

Therefore the mean number of siblings for the population rounded to the nearest unit is 2.

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Start time? Elapsed time 9 3/4 end time 6:00pm

Answers

Answer:

3/4 is 45 min, cause a quarter of an hour is 15 min. 6-9=-3 so you basically do Noon subtracted by another 3 hours which is 9am , then subtract those 45 min.

6pm - 6hours = 12pm

(Noon) 12 pm - 3 hours =9 am, then 45 min

9am - 45 min

8:15 am

Among fatal plane crashes that occurred during the past 65 years, 486 were due to pilot error, 52 were due to other human error, 497 were due to weather, 274 were
due to mechanical problems, and 395 were due to sabotage.

Answers

Answer:

what is the question?

Step-by-step explanation:

If the subjective probability that it will rain is 45%, what is the probability that it will not rain

Answers

Answer:

There is a 55% chance that it won't rain.

helP ME PLEASE EEEEE

Answers

Answer:

18

Step-by-step explanation:

12 / 4 = 3

4.5 / 1.5 = 3

6.75 / 2.25 = 3

in conc we can see that 3 is most obviously the "scale factor" (id/k what else to call it)

6 x 3 = 18

Answer:

D) $18

Step-by-step explanation:

12 / 4 = 3

4.50 / 1.5 = 3

6.75 / 2.25 = 3

6 x 3 = $18

here a subtraction problem that has been solved incorrectly for 44-16=28 choose the addition sentence that check this subtraction problem the choices are 28+16=32 28+44=72 28+16=44 which one is correct​

Answers

Answer:

28+16=44

Step-by-step explanation:

point of correction it has been solved correctly

when subtracting 44 - 16 it gives you 28

=> 44 - 16

=> 28

SO IN ORDER TO CHECK IF THE PROBLEM WAS SOLVE CORRECTLY

you will minus 28 from one of the numbers before the equal sign

the correct option is 28 + 16 equals to 44

=> 28+16=44

List all three digit numbers that have only fours and fives as it’s digit.What is the sum of all of these numbers?

Answers

Answer:

The total number of 3-digit numbers that can be formed = 2 × 2 × 2 = 8

1. 444

2. 445

3. 454

4. 455

5. 544

6. 545

7. 554

8. 555

Sum of all these numbers: 3,996

A potter makes 6 bowls in 3 hours.
How long would it take the potter to
make 14 bowls?

Answers

answer 7.5 I hope was not too late

I need help... It's kinda confusing for me..

Answers

Answer:

y = -5x - 1

Step-by-step explanation:

To find the function rule:

We use the equation "y = mx + b"

Function rule: What we need to do to "x" to get "y"

Look at the x-values. You need to know if they are going up by one or if they are skipping.  In this case, they are going up by one.

Next, look at the y-values and see how they are changing. The y-values in this table are going down by 5 every time, which means we will multiply each "x" by "-5".

After that, pick the first 'x" in the table and multiply it by "-5", then figure out what you need to do to make it equal the y-value.

You need to subtract 1. This means the rule is "y = -5x - 1"

To check if this is correct, we do the following:

y = -5x - 1

Substitute the first x and y values into the equation

9 = -5(-2) - 1

Multiply -5 and -2

9 = 10 - 1

Subtract 1 from 10

9 = 9

True

Let's check the second equation

y = -5x - 1

Substitute the x and y values in the second column of the table

4 = -5(-1) - 1

Multiply -5 and -1

4 = 5 - 1

Subtract 1 from 5

4 = 4

True

So, the function rule "y = -5x - 1" is true

Make x the subject of…

Answers

Answer:

x = mp - np

Step-by-step explanation:

Step 1: Multiply both sides by p.

[tex]m * p = n *p+ (x/p) * p[/tex] [tex]mp=np+x[/tex]  

Step 2: Subtract np from both sides.

[tex]x + np - np = mp - np[/tex] [tex]x = mp - np[/tex]

Determine if true:
8^3 divided by 2=250

Answers

Answer:

False

Step-by-step explanation:

8^3=512

512 divded by 2=256

256=250

This is false.

Hence this equation is false

Answer:

False

Step-by-step explanation:

Given the following question:

[tex]8^3[/tex]

To find if the solution is true, we must first convert the exponent into a whole number by multiplying three by itself, three times since three is the exponent.

[tex]8^3[/tex]
[tex]8^3=8\times8\times8[/tex]
[tex]8\times8=64[/tex]
[tex]64\times8=512[/tex]

Now divide:
[tex]512[/tex]
[tex]512\div2=256[/tex]
[tex]=256[/tex]

Which means the following statement 8^3 divided by 2 = 250 is indeed "false."

Hope this helps.

747 is what percent of 384? Round to the nearest thousandth.

Answers

Answer:

1.9453125 = 1.945

Step-by-step explanation:

Divide 747 by 384

Answer is 1.9453125

Look at the number to the right of the thousandths place.  

Its 3.

3 is less than 5

drop the 3 and all numbers after.

In percentage it is 194.5 percent

, A roller is 75 cm long and has a diameter of 42 cm. It takes 800 revolutions to level a playing field 44 m long. Find the breadth of the field. ​

Answers

Answer:

0.18km

Step-by-step explanation:

Lateral Surface Area = 2πrh

= 2 × 22 × 21 × 75

7

= 9900m^2

Area taken by revolution = 9900 × 800

= 7920000m^2

= 7.92 km^2

breadth = 7.92km^2 ÷ 44

= 0.18km

Question 1 of 10
A deck of cards contains 52 different cards. A card is drawn at random. What
is the probability that the card drawn is a queen?
A. 0.67
B. 0.04
C. 0.52
D. 0.077
SUBMIT

Answers

Answer:

D

Step-by-step explanation:

There are 4 queens out of 52 cards in a deck. Therefore, if each card has the same probability of getting chosen, you have a 4/52 = 0.077 chance of drawing a queen because there are (4 favorable outcomes/queens) / (52 total outcomes)

Flora received a 14% raise on her hourly wage of $16.00. Find Flora’s new hourly wage.

Answers

First 14% of 16$

[tex]\\ \rm{:}\dashrightarrow 0.14(16)=2.24[/tex]

New wage:-

16+2.24=18.24$

In an RPG game, each player has 9 talent points, and they can allocate those points into 18 unique talents. How many different arrangements of talent points are there?​

Answers

The arrangement of the total point is an illustration of combination

There are 162 different arrangements of talent points

How to determine the total arrangement

The number of points is:

Points = 9

The number of talents is:

Talents = 18

So, the number (n) of arrangement is:

n = 9 * 18

This gives

n = 162

Hence, there are 162 different arrangements of talent points

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a bag contains blue and red cubes 3/11 of the cubes are blue what is the ratio of blue to yellow??

Answers

Answer:

um. there are no yellow.

Step-by-step explanation:

46 is what percent of 69?

Answers

Answer:

66.67

Step-by-step explanation:

So if 69 is 100 percentage then we need to know; x. so x% is 46 then you turn that information into this equation.  100%/x%=69/49 so then you can solve that x is 66.67. So It is 66.67%

Please show work and thanks

Answers

Answer:

x = 8

each side is 74

Step-by-step explanation:

set two sides equal to each other

see image

Identify the matrix transformation of ΔDEF, which has coordinates D(3, −2),E(4, 1), and F(7, 2), for a translation 1 unit right and 2 units down. Then identify the correct vertices of the image.

Answers

Answer:

D'(2,0), E'(3,3), F'(6,4)

Step-by-step explanation:

The matrix transformation of ΔDEF for a translation 1 unit right and 2 units down for the coordinates D(3, −2), E(4, 1), and F(7, 2) will be D'(2,0), E'(3,3), F'(6,4).

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that, the coordinates of ΔDEF will be D(3, −2), E(4, 1), and F(7, 2).

For a translation 1 unit right and 2 units down we got the coordinates as D'(2,0), E'(3,3), and F'(6,4).

Thus, the matrix transformation of ΔDEF for a translation 1 unit right and 2 units down for the coordinates D(3, −2), E(4, 1), and F(7, 2) will be D'(2,0), E'(3,3), F'(6,4).

Learn more about the geometric transformation here:

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1. Draw an equilateral triangle whose each side is 4.5 cm

Answers

꧁༒Answer༒꧂

Answer is on the picture

Answer:

Step-by-step explanation:

A prop assistant needs to rent a telescope to use for a scene in a movie. One company charges $57 per day plus a flat fee of $32 to rent a telescope. Another company charged $62 per day with no flat fee. For how many days would the total cost of renting a telescope be the same at both companies? Justify your answer by writing and solving an equation.

Fill in the blanks with the correct answers.

62x = 58x + 32, when x = ____. The total cost of renting a telescope would be the same at both companies for _____ day(s).

Answers

The number of days for both Companies to have the same total amount is

6.4 days

Word Problem leading to Algebraic expression

 

Given Data

Let the total payment be yLet the number of days be x

Company A

Charges per day = $57Flat fee = $32

y = 57x+ 32 -----------------1

Company B

Charges per day = $62Flat fee = $0

y = 62x + 0-----------------2

Equating 1 and 2 we have

57x+ 32 = 62x+ 0

Solving for x we have

62x-57x = 32

5x = 32

Divide both sides by 5

x = 32/5

x = 6.4 days

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What is the median of the following data set?

12, 25, 9, 2, 0, 8​

Answers

Answer:

9

Step-by-step explanation:

how much feet is 0.6 miles

Answers

Answer:

0.6 multiply by 5250

its 3168

The Conversion of 0.6 miles is equal to 3,168 feet.

To convert 0.6 miles to feet, we need to use the conversion factor that 1 mile is equal to 5,280 feet.

As, 1 mile= 5280 feet

So, we can multiply 0.6 miles by the conversion factor:

= 0.6 miles x 5,280 feet/mile

= 3,168 feet

Therefore, 0.6 miles is equal to 3,168 feet.

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What is a formula for the nth term of the given sequence? 12, 6, 3

Answers

Answer:

I think it is dividing the numbers by 2

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