Frank has a circular garden. The area of the garden is 100 ft2. What is the approximate distance from the edge of Frank’s garden to the center of the garden? (A = πr2)

Answers

Answer 1

The distance from the edge of Frank's garden to the center of the garden is about 2.815 feet.

To find the approximate distance from the edge of Frank's garden to the center, we first need to determine the radius of the circular garden. We are given the area (A) of the garden, which is 100 square feet. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

We can rearrange the formula to solve for the radius:

r² = A / π

Now, plug in the given area:

r² = 100 ft² / π

Calculate the square of π (approximately 3.1416):

r² = 100 / 3.1416

r² = 31.8309

Now, find the square root of r² to get the radius:

r ≈ √31.8309

r = 5.63 ft

Now that we have the radius, we can find the distance from the edge to the center. In a circle, the distance from the edge to the center is half the radius. So, we can calculate this as follows:

Distance from edge to center ≈ (1/2) * radius

Distance from edge to center ≈ (1/2) * 5.63 ft

Distance from edge to center ≈ 2.815 ft

Related Questions

What is the quotient of the complex number 4-3i divided by its conjugate ?

Answers

Answer:

Quotient is[tex]\frac{7-24i}{25}[/tex]

Step-by-step explanation:

Given is a complex number as 4-3i

We have to find the quotient when divided by its conjugate

Its conjugate is

[tex]4+3i[/tex]

When divided we have

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

(to simplify the above)

=[tex]\frac{(4-3i)^2}{4^2+3^2} \\=\frac{7-24i}{25}[/tex]

Quotient is [tex]\frac{7-24i}{25}[/tex]

Answer:

7/25 - 24/25i

Step-by-step explanation:

All colors of light are bent the same amount as they move from one material to another.

A) Always true.

B) Always false.

C) True, if you change bent to absorbed.

D) False, each color bends a different amount.

Answers

D is correct. This has to do with the frequency dependence of the index of refraction. This effect can be seen in prisms and is what allows them to break white light into its different colors (frequencies). If they all bent the same amount, the beam would stay together and the light leaving a prism would remain white. Also rainbows would not be possible, since they are made by light refracting at different angles inside spherical droplets of water in the earth's atmosphere.

D is the correct answer

In what quadrant does point R lie?

A.
Quadrant I

B.
Quadrant II

C.
Quadrant III

D.
Quadrant IV

Answers

Answer:

Option: D

Point R lie on the Quadrant IV (i.e. quadrant fourth)

Step-by-step explanation:

Clearly from the given graph the point R lie on the fourth quadrant as the fourth quadrant is defined as the region such that any point on it with the given coordinates ; the x-value of any point is positive and y-value of any point is negative.

The coordinates of Point R from the given Graph has coordinates (5,-5).

Hence point R lie on the fourth quadrant.

Hence option D is correct.

A 15 oz can of peaches costs $1.99 and a 24 oz can of peaches cost $2.55. How much is the price per ounce of the 15 oz can of peaches

Answers

Divide the price by the number of ounces.

=$1.99 ÷ 15 ounces
=$0.13

The price per ounce of the 15 ounce can is $0.13.

Hope this helps! :)

0.13 is the correct answer

Angle of rotation(including direction of rotation)

Answers

What is the question

Simplify 4 sqrt 6 / sqrt 30 by rationalizing the denominator. Please show steps.

Answers

Hello,

so it basically looks like

4√6
¯¯
√30
?

then you multiply both sides by √30

4√6 x √30 = 4√180 which simplified = 24√5

√30 x √30 just equals 30

so the answer is

24(√30) / 30

simplified = 4(√5) / 5

Hope this helps!!

~Girlygir101~

24√5/√30 is the simplified form of the expression 4√6/√30

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 4√6/√30

We have to rationalizing the denominator.

Multiply numerator and denominator by √30

4√6/√30 × √30/√30

4√6×30/30

4√180/30

4.6√5/√30

24√5/√30

Hence, 24√5/√30 is the simplified form of the expression 4√6/√30

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Choosing a graph to fit a narrative

Answers

number 3 because it has a rise constant and rise again

draw and label a figure that has four points two rays and one right angle

Answers

This figure has four points labeled, 2 rays which you can see labeled and one right angle. The rays are named Ray BA, and Ray BD, The right angle is angle ABD, or angle ABC. A ray has one and point and goes on forever in the other direction which is indicated with an arrow. A right angle measures 90°. You can potentially put any number of points on a line. Angles can also be named by the vertex.

Select from the drop-down menu to correctly complete the statement.

Triangle ABC and triangle DEC are

Answers

The answer is Not Similar.

Answer:

Not similar

Step-by-step explanation:

In triangle DEC, using the angle sum property, we get

∠D+∠E+∠C=180°

⇒∠D+15°+94°=180°

⇒∠D=180-109

⇒∠D=71°

Also, from triangle ABC, we have

∠A+∠C+∠B=180°

⇒38°+94°+∠B=180°

⇒∠B=48°

Now, From triangle ABC and CDE, neither the angles nor the sides are similar, therefore the given triangles cannot be similar.

Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.
A.Each pair of vertical angles is congruent.

B.Each pair of corresponding angles is congruent.

C.Each pair of supplementary angles is congruent.

D.Each pair of alternate interior angles is congruent.

Answers

A, B, and D are congruent

The THREE (3) correct answers are:
____________________________________________________
[A]: "Each pair of vertical angles is congruent."
____________________________________________________
[B]: "Each pair of corresponding angles is congruent." ; AND:
____________________________________________________
[D]: "Each pair of alternate interior angles is congruent."
____________________________________________________

Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in hour?

Answers

1/8PLANTS AN HOUR THNX

Samantha can pot 8 plants in one hour.

To calculate how many plants Samantha can pot in one hour, we need to determine the rate at which she pots plants. She currently pots 12 plants in 1 1/2 hours, which is equal to 1.5 hours.

To find the rate, we divide the number of plants by the number of hours:
12 plants /1.5 hours=8 plants per hour

Therefore, Samantha can pot 8 plants in one hour.

You are a coffee shop owner and want to calculate the usual amount of money made each day, but you know that Fridays bring in more than double the revenue of any other day. Which measure of central tendency should you use?

A. Median
B. Mean
C. Mode
D. Any of the above

Answers

B (Mean) is the answer you are looking for
~Mathlete12321~

Final answer:

A. Median

The median is the most appropriate measure of central tendency for a coffee shop owner to use to calculate the usual daily revenue, as it is not skewed by the unusually high revenue on Fridays.

Explanation:

When considering which measure of central tendency to use for determining the usual amount of money made each day at a coffee shop, where Fridays bring in more than double the revenue of any other day, the best option would be the median. This is because the median is the middle point of the data distribution when the observations are ordered by their numerical values, and it is not affected by extreme values or outliers in the data.

The mean, or average, could be significantly skewed by the higher revenue on Fridays, thus not accurately depicting a typical day. The mode is the most frequently occurring value in the distribution, which may not be applicable to this situation unless you have multiple days with the exact same revenue.

Therefore, the median is most appropriate for this scenario as it is not influenced by the high revenue on Fridays and will provide a better indication of what a typical day's earnings might look like.

Dana has n quarters. Ivan has 2 fewer than 3 times the number of quarters Dana has. The expression n + 3 n−2 gives the number of quarters they have altogether. Which is another way to write this expression?

Answers

You can "collect terms" and write it as
4n -2

Piper bought 5 movie tickets and 1 bottle of water. She spent $28. The water cost $3. How much did each ticket cost. Write an equation to solve the problem and answer the question.

Answers

every movie ticket was $5

$28-$3=$25
5x5=25
Each movie ticket cost $5

Please help use the diagram of the right triangle above

Answers

For this case what you have to take into account is the following trigonometric relationship:
TanB = b / a
We clear the value of b:
b = a * TanB
Substituting the values we have:
b = 10 * Tan (60)
b = 17.32 m
Answer:
b = 17.32 m
option a.

A bag contains 4 red, 3 yellow, 3 blue, and 2 white marbles, for a total of 12 marbles. If Lucia randomly picks two marbles from the bag without putting the first marble back, what is the probability that the first marble is red and the second is white?

Answers

[tex] |\Omega|=12\cdot11=132\\
|A|=4\cdot2=8\\\\
P(A)=\dfrac{8}{132}=\dfrac{2}{33}\approx6\% [/tex]

Answer:

2/33

Step-by-step explanation:

Select the graph of the solution. Click until the correct graph appears.

|x| = 3

Answers

The correct graph is the third one, with the solid dots at -3 and 3.

The bars around x stand for absolute value, which is defined as the distance a number is from 0. We want to know what number or numbers is/are 3 units away from 0 on a number line; the only choices are 3 or -3.

This means we must plot points at -3 and 3. They must be solid points, since these numbers are included in the solution (they are, in fact, the only ones of the solution).

Answer:

First picture

Step-by-step explanation

the graph with the open circle on -3 and 3 and pointing to the opposite to each so -3 the arrow is pointing this way <----- for 3 the arrow is pointing this way ------->

In the diagram l//m.You also know that 3=~4 because vertical angles are congruent.Which of the following statement can be used to help show that ABC is similar to EDC

Answers

The lower left corner is the answer.
Angle 1 is congruent to angle 5 because they are alternate interior angles (assuming AB || DE)

They are on the inside of the parallel train tracks. By "train tracks" I mean the horizontal lines AB and DE. So they are considered interior angles. They are on alternate sides of the transversal AE. Angle 1 is on the right side while angle 5 is on the left side. These two facts are why they are considered alternate interior angles.

If a number is added to itself and the sum is multipled by 2 , the product is 4

Answers

the number is 1

1 + 1 = 2

2(2) = 4

1 is your answer

hope this helps

a rectangular photograph is 4 inches wide and 6 inches long. The photograph is enlarged by increasing the length and width by an equal amount. If the area of the new photograph is twice as large as the oringinal area, what are the dimensions of the new photograph?

Answers

The original area is
4*6= 24
The new area is 24*2 =48
So the dimensions is 6*8

Match the pre-image, and its clockwise rotation, with the coordinates of its image. 1. (5, 2); 90° (-2, -5) 2. (5, 2); 180° (2, -5) 3. (5, 2); 270° (-2, 5) 4. (-5, 2); 90° (5, 2) 5. (-5, 2); 180° (-5, -2) 6. (-5, 2); 270° (2, 5) 7. (-2, 5); 90° (-5, 2) 8. (5, -2); 180° (5, -2)

Answers

1. (2,-5)
2. (-5,-2)
3. (-2,5)
4. (2,5)
5. (5,-2)
6. (-2,-5)
7. (5,2)
8. (-5,2)

Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.

Answer:

(2,5) = (-5,2); 90°

(2,-5) = (5,2); 90°

(-2,-5) = (-5,2); 270°

(5,-2) = (-5,2); 180°

(-2,5) = (5,2); 270°

(5,2) = (-2,5); 90°

(-5,2) = (5,-2); 180°

(-5,-2) = (5,2); 180°

Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.

Hope this helps!

∵∅Levi∅∵

∵ФωФ∵

Alcia received a $75 gift certificate for her birthday. She went to a boutique to buy some T- shirts at $7 each and some socks for $2.50 a pair. If T represents the number of T-Shirts, and S represents the number of pairs of socks she bought, write an inequality that would determine the number of T-shirts and pairs of socks she could buy. HURRY PLEASE

Answers

So, Since she has $75 total, that means she can buy 8 t-shirts and 7 socks with $1.50 left

T represents the number of T-Shirts

S represents the number of pairs of socks she bought

Each T-shirt cost $7, so 'T' T-Shirts will cost 7T

Each Pairs of socks cost $2.5, so 'S' pair of socks cost 2.5S

[tex] Total \; cost\; =\; T-shirts \; cost \; +\; Pair \; of \; socks\; cost \\ \\ Total \; Cost \; =\; 7T+2.5S\\ \\ [/tex]

Total cost should be less than or equal to 75 dollars.

Conclusion:

The inequality that would determine the number of T-shirts and pairs of socks she could buy is given below:

[tex] 7T+2.5S\leq 75 [/tex]

A cylinder has a volume of 136 cubic centimeters. What is the volume of a cone with the same height and the same diameter

Answers

Volume of a cylinder = pi r^2 h If the cone has exactly the same measurements then its formula is going to be
V_cone = 1/3 pi r^2 h. If that's the case the only difference is that the Cone's volume is 1/3 that of the cylinder
V_cone = 1/3 V_cylinder
V_cone = 1/3 136 cubic cm.
V_cone = 45.33 cubic cm.

Jose decided to walk the 9 3/10 mi from his house to the beach. in the first hour he walked 3 4/5 mi. in the second hour he walked 2 9/10 mi. how much farther did he have to go?

Answers

9 3/10, 3 8/10, 2 9/10

8/10 + 9/10 = 1 7/10

3+2+1 7/10 = 6 7/10

9 3/10 - 6 7/10 = 2 6/10

Ok so, first we have to turn these into improper fractions

9 3/10= 93/10
3 4/5= 19/5
2 9/10= 29/10

Ok so 19/5 + 29/10 is 67/10

67/10 - 93/10= 13/5.

13/5 or 2 3/5 is the answer, good luck, hope this helped, and STAY SMART! =p

Amber completed a 25-kilometer road race in 3 hours. She ran at the same speed and covered the same distance each hour. Between which 2 whole numbers does the distance she ran each hour lie? Draw a visual model to find the distance she ran each hour.

You don’t have to do the last part but it’d be great if you did

Answers

To answer this question, you will find the number of kilometers she ran per hour. This is called the unit rate. To get the unit rate, you will divide the number of kilometers by the number of hours, so 25/3. The answer is 8 1/3 kilometers per hour. This number falls between the whole numbers 8 and 9. I will describe to you how to create a visual model to show this. If you draw a long bar and break it into 25 equal sections. Take 24 of these groups and circle 3 groups of 8 to show the 8 km. Take the last group and break it into 3 equal sections as well (creating groups the size of 1/3). One of these goes with the group of 8 you got when you broke the whole sections into groups of three creating the mixed number 8 1/3 kilometers. This shows you modeling the 25 km broken into 3 equal sized groups (which is division).

The distance she ran each hour is between 8 and 9

How to determine the whole numbers?

The distance is given as:

Distance = 25 km

The time is given as:

Time = 3 hours

The speed is then calculated as:

Speed = Distance/Time

So, we have:

Speed = 25km/3 hours

Divide

Speed = 8.33 km/hr

8.33 is between 8 and 9

Hence, the distance she ran each hour is between 8 and 9

Answers

1. Given the lengths:
3, 4, 5, 5, 6, 7, 8, 9, 10
The median of the data, will be the middle number. From the data shown the middle number is:
B] 6

2. The mean is more affected by outliers since it takes into account all the values in a given set of data. Thus existence of outliers will greatly affect the mean. Hence the correct answer is A]

3. Given the math test scores of Mrs. Hunter's class, the range is given by:
Range=(maximum value)-(minimum value)
thus:
Maximum value=100
Minimum value=48
therefore plugging in the formula:
Range=100-48=52
Answer: B]

4. From the given heights of 13 plants:
6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16,17.
The IQR is given by:
IQR=(upper quartile)-(lower quartile)
upper quartile=(14+13)/2=13.5
lower quartile=(10+10)/2=10
thus
IQR=13.5-10=3.5
Answer:
A]3.5

Ken has 6 different colors of marbles he has 9 marbles of each color how many marbles does Ken have in all

Answers

6 times 9 equals 54 marbles

Final answer:

Ken has a total of 54 marbles in all.

Explanation:

To calculate the total number of marbles Ken has, we need to multiply the number of colors of marbles by the number of marbles of each color. Ken has 6 different colors of marbles and 9 marbles of each color. To find the total, we perform the multiplication:

6 colors imes 9 marbles per color = 54 marbles.

Hence, Ken has a total of 54 marbles in all.

Lucy wants to make different types of cheesecake. Each cheesecake uses 2/3 pound of cream cheese. She has 2 pounds of cream cheese. How many cheesecakes can she make?

Answers

Lucy can make a total of 2 cheesecakes with 2 pounds of cream cheese.

what can you conclude about the equations y=5/4x-10 and 5x-4y=40

Answers

y = 5/4x - 10
5x - 4y = 40

Let's rewrite the second equation to y = mx + b form

5x - 4y = 40
subtract 5x from both sides
-4y = -5x + 40
divide both sides by - 4
y = 5/4x - 10

What can you conclude about the equations?
Well, it's the same thing just written in slope-intercept form and standard form.

Hope this helps

I need sambady help my to rate the question

Answers

Counting by tens is faster than counting by ones because you skip more numbers in between 10 and the next number than just counting by ones

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