A circular patio has a radius of 4 yards. The patio is expanded so that the radius increases by 2 yards.

1) What is the area of the original patio? (blank)

Square yards

2) What is the area of the new patio? (blank)(

Square yards

3) By how many square yards does the area of the patio increase? (blank)

Square yards

Answers

Answer 1

Answer:

50.29 yards^2

113.14 yards^2

62.85 yards^2

Step-by-step explanation:

Area of a circle = πr²

π = pi = 22/7

r = radius

original area

(22/7) x 4² = 50.29 yards²

New area

radius = 4 + 2 = 6

(22/7) x 6² = 113.14 yards²

Increase in the area of the patio = 113.14 yards² - 50.29 yards²=62.85


Related Questions

Can someone please help me with math.

Answers

C thank me later.....

Answer:

C 300

Step-by-step explanation:

For this one all you have to do is find where the lines intersect

They intersect at (300,55)  (remember x = # of minutes and y = cost)

At 300 minutes both plans cost $55 therefore the answer is C

Can you pls help me please

Answers

Answer:

The answer is D. $175

Step-by-step explanation:

1 hour is 25, so 7 hours is 125

find the size of angle q if it is five times it's supplement​

Answers

Answer:

q = 150

Step-by-step explanation:

Supplementary angles are angles that form a straight line and have a sum of 180 degrees, e.g. 120 and 60. If its supplement is thirty, and angle q is five times its supplement, it's 150. We know this is correct because 150 + 30 = 180, which is what we need for a supplementary angle.

Which one of the following sets of ordered pairs determines a line whose slope is 4/3? A. (5,-3)(2,3)
B. (3,10) (-3,-2)
C. (3,-5) (-3,-7)
D. (-1,-3) (5,5

Answers

Given statement solution is :- The set of ordered pairs (-1, -3) and (5, 5) determine a line with a slope of 4/3, according to the given statement's answer.

To determine the slope of a line given two ordered pairs (x1, y1) and (x2, y2), we use the formula:

slope is equal to y2 - y1 / x2 - x1.

Let's calculate the slopes for each set of ordered pairs:

A. (5, -3) (2, 3)

slope = (3 - (-3)) / (2 - 5)

= 6 / (-3)

= -2

B. (3, 10) (-3, -2)

slope = (-2 - 10) / (-3 - 3)

= -12 / (-6)

= 2

C. (3, -5) (-3, -7)

slope = (-7 - (-5)) / (-3 - 3)

= (-2) / (-6)

= 1/3

D. (-1, -3) (5, 5)

slope = (5 - (-3)) / (5 - (-1))

= 8 / 6

= 4/3

Option D's set of ordered pairs, (-1, -3) and (5, 5), results in a line with a slope of 4/3.

For such more questions on Line Slopes: Identify Correctly

https://brainly.com/question/3493733

#SPJ8

Guys helpppp!!!

Data on a scatterplot is shown below.
Which statement best describes the correlation between x and y?

Answers

Answer:

High negative

Step-by-step explanation:

The dots are close together and they are going down left to right indicating it’s negative

Please help! I need this to pass. If you are trying to get points please just chose a different question and don't mess with mine. I am in a state of trouble and I just need a helping hand.

Answers

Answer:

The correct answer to the exercise is:

Surface area of a circle = 633.1 [tex]mm^{2}[/tex]

Step-by-step explanation:

To obtain the surface area of a circle, you can use the formula:

Surface area of a circle = π * [tex]r^{2}[/tex]

Where:

π = 3.14 (the exercise give this)r = Circle radius.

How you can see, in the picture gives you a straight line that passes through the circle side by side, the circle radius is half of that value, then:

r = 28.4 mm / 2r = 14.2 mm

Now, we can replace the values in the first formula:

Surface area of a circle = π * [tex]r^{2}[/tex] Surface area of a circle = 3.14 * [tex](14.2 mm) ^{2}[/tex]Surface area of a circle = 3.14 * 201.64 [tex]mm^{2}[/tex]Surface area of a circle = 633.1496 [tex]mm^{2}[/tex]Surface area of a circle = 633.1 [tex]mm^{2}[/tex] (rounded to the nearest tenth).

which angle pair is a pair of alternate interior angles.

Answers

B!

Hope this could help! <3

AHEMMMMMMMMMMM
*INHALES*
hola estaré desperdiciando puntos de nuevo * sorbos de té * um nada inapropiado algunos de ustedes probablemente ya me recuerdan ¿verdad? Oh, bueno, no se permiten enlaces porque se informarán primero, será más inteligente, no lo olvides.

(hehehehhe * does evil laugh*) Ik yall are greedy for points so I used a translator so you wouldn't see my points whoever is first to translate that statement to english will be marked brainliest yes ik i said who is actually FIRST to answer but, that was just to make it harder WHOEVER CAN TRANSLATE FASTEST AND MOST ACCURATE WILL GET BRAINLIEST and if you don't have to use a translator then LUCKY YOU

Answers

Answer:

if you mean the spanish one then this si your answer: Hello I'll be wasting points again * sips of tea * um nothing inappropriate some of you probably already remind me, right? Oh, well, no links allowed because they will be reported first, it will be smarter, don't forget.

Step-by-step explanation:

Answer: hello I'll be wasting points again *sips tea* um nothing inappropriate some of you probably remember me by now right? Oh well, no links allowed because they will be reported first, it will be smarter, don't forget.

Step-by-step explanation:

You are wrapping a cube shape present that is 1.5 ft tall. How much wrapping paper will you need to wrap the entire present? I'll give brainliest ​

Answers

Answer:

the answer is going to be 6.0

Step-by-step explanation:

1.5+1.5=3, 3+3=6

the table show four transactions and the resulting account balance in a bank account, except some numbers are missing. fill in the missing numbers.


Am I right???​

Answers

Yes I believe. Gold luckkk

My teacher didn’t explain this. Help me please!

Answers

The answer is choice C

Answer: the answer is B

Step-by-step explanation:


Suppose a city with population 800,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 17 years.

Answers

Answer:

1,752,000

Step-by-step explanation:

1.  First you have to take the 7% and multiply that by the years whish is 17 so      that way you know your total percentage of growth which is 119%

2.  Second you then need to find how much 1% is to find out our total growth in population so you take 800,000 and divide that by 100 since there's only 100% and you get 8,000.

3.  Now you take the 8,000 and multiply that by the percentage of the growth that you have which is 8,000*119 and you get 952,000

4.  Lastly all you have to do is add the growth of the population to the population you already have so 800,000+952,000=1,752,000

Gymnastics Class

Girls Boys

65 35


Identify the ratios that are equivalent to the ratio of the number of girls who attend gymnastics class to the total number of students in the class.

20:13 20:7 13:20 7:20 13:7 65:100 13:9 100:65 9:13 7:13

which ONES are equivalent to 65:35

25 points and brainliest

Answers

Answer:

it is 13:7

Step-by-step explanation:

How many beats are in each picture?

Answers

Answer:

1.   4 beats (2 played, 2 silent)

2.    4 beats (2 played, 2 silent)

3.     4 beats  (4 silent)

Step-by-step explanation:

pls brainliest!

also, what instrament do you play?

an electronic book has a file size of 2.6 MB what is the file size and megabytes of 14 of these electronic books​

Answers

36.4MB
Hope this helped

About 150 million tons of plastic waste is in the world’s oceans. If each 001/B system can clean up 10,000 tons of plastic per year, how many systems would have to be deployed to meet the Ocean Cleanup’s goal of cleaning the oceans by 2040? Write a y = mx equation to solve.

Answers

Answer:

750 systems are  needed in 20 years to clean 150 million tons wastes.

Step-by-step explanation:

Total waste = 150 million tons

Waste cleaned each year by 1 machine = 10,000 tons

No of years from 2020 to 2040 =  20 years

Waste cleaned in 20 years by 1 machine = 20* 10,000= 200,000 tons

Machines needed in 20 years to clean 150 million tons wastes using

y= mx      ( where m= number of machines)

and x is the waste cleaned in 20 years by 1 machine

150,000,000 = m 200,000

or m = 150,000,000 /200,000

m= 750

What is the equation of the line that best fits the given data?


a) y = -5x +11

b) y= -1/3x+10

c) y= 3x+10

d) y = -2x +9

Answers

answer: C is the answer for your the question

Write an expression that could be used to calculate the perimeter of this square.

Answers

4e=P. Perimeter is all side added together so just multiple 4e.

Which one of this is the best deal? EXPLAIN. No links or you will get reported and you will get your acc deleted

Answers

Bodyodyodyodyodyyyyyyyyodyodyyyyy

0.006 A= _____ mA
help me,,,,​

Answers

0.006A =  6 mA

The answer is 6

Please awnser this correctly! I will make you Brainliest!

Answers

Volume of cone: pi * r^2 * h/3
Given volume, height

942in^3 = 3.14 * r^2 * 9/3
942in^2 = r^2 * 9.42
Divide by 9.42
r^2 = 100, r = -10, 10
Cannot be negative so...

Solution: radius is 10 in.

Answer:

r=10

Step-by-step explanation:

I used a cone calculator.

The results of a study exhibit response bias. Select the statement that best describes the bias in the study.

There were not enough subjects who chose to respond to a survey that was sent as part of the study.

The interviewer for the study was the boss of the subjects.

The interviewer for the study did not record the responses of the subjects accurately.

* There was a significant amount of people who declined to participate in the study.

Answers

Answer:

"The interviewer for the study did not record the responses of the subjects accurately." I believe this is most pertinent. B, or the boss of the subjects, could have been an answer, but if all members associated in the study exhibit the similar level of response bias based upon superior employers, then the study remains somewhat accurate, but C, or inaccurate record of responses, would remain biased entirely.

Step-by-step explanation:

Answer:

It's C on edge.

Step-by-step explanation:

Did assignment.

Which expression represents "10 less than the product of 12 and 9"?
A. 10 - 12 x 9
B. 12 x 9 - 10
C. (10 - 9) * 12
D. (12 - 10) × (9 - 10)

Answers

Answer:

answer.

Step-by-step explanation:

B. 12x9-10 is the answer

how much tax will i pay on a $54.99 video game? (6% tax rate)

Answers

Answer:

3.299 or 3.3

Step-by-step explanation:

54.99(.06)=3.2994

The graph shows how the height of a balloon is changing over time.
BALLOON HEIGHT
Height
Time
Which quantity is given by the slope of the line on the graph?
A
the time the balloon stays in the air
B
the rate at which the balloon is rising
С
the final height of the balloon
D
the starting height of the balloon

Answers

Answer:

B. The rate at which the balloon is rising.

Step-by-step explanation:

Mathematically speaking, the slope of the line represents the change in dependent variable (Height) divided by the change in independent variable (Time). According to the graph, a postive change in time leads to a positive change in height, meaning that slope is positive. Physically speaking, the slope represents the rate of change at which the height of the ballon is rising.

Hence, correct answer is B.

What is the largest possible number of peopel at a party if no two of them have birthdays in the same month

Answers

Answer:

12

Step-by-step explanation:

The answer is 12 because there are 12 different months in a year and also all the attendees must have birthdays in different months and not in the Same month. Hence 12 the largest possible number of attendees

Two angles are vertical angles. If one angle measures 3x+14, and the other angle measures 5x, find the measure of each angle.

Answers

Answer:

Step-by-step explanation:

Vertical angles are equal.  Thus, 3x + 14 = 5x, and 14 = 2x.

Then x must be 7.

The first angle, 3x + 14, is 3(7) + 14, or 35.

The second, 5x, is 5(7) = 35

As expected, the two angles are equal.

Answer:

Both angles are 35°

Step-by-step explanation:

Vertical angles are when they equal each other so:

3x + 14 = 5x

5x - 3x = 14

2x = 14

x = 7

5x

5(7) = 35

3x + 14

3(7) + 14

21 + 14 = 35

help me with this problem please ​

Answers

Answer:

Input:

(6 + a)×5 = 5 (6 + 8)

Result:

5 (a + 6) = 70

i have a feeling it’s c or d . but ima go with my gut and say c ! it’s the only one that’s looks correct!

COULD SOMEONE HELP ME PLEASE!!!

Answers

Answer:

r and s is (2,6) s and t is (-4,-6) r and t are (4,2)

Step-by-step explanation:

igu

Here is the link to the answer:

what do you think greater than means​

Answers

Answer:

Greater than can be defined as an inequality used to compare two or more numbers, quantities or values. It is used when a quantity or number is bigger or larger than the second or rest quantities or numbers.

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