A circular patio has a radius of 4 yards. The patio is expanded so that the
radius increases by 2 yards. By how many square yards does the area of the
patio increase?

Answers

Answer 1

Answer:

20pi or 62.83

Step-by-step explanation:

when r=4

pi r^2

16pi

when r=6

pi r^2

36pi

36pi-16pi=20pi or 62.83


Related Questions

(7.10; 7.15)
1. The diagram below shows a
parallelogram.
12 cm
28 cm
If the parallelogram were enlarged
using a scale factor of 3, the perimeter
of the enlarged parallelogram would
be
A 80 cm
B 120 cm
C 200 cm
D 240 cm

Answers

Answer:

We let x 1 = 13, y 1 = 8, x 2 = 9, y 2 = 6, x 3 = 4, y 3 = 2, x 4 = 8, y 4 = 4 and the area is given by The absolute value of the cross product of two vectors a →, b → ∈ R 3 spanning the parallelogram is its area:

Step-by-step explanation:

Find the length of AC using Pythagorean Theorem.

Answers

Answer:

23

Step-by-step explanation:

Make an organized list which shows all possible outcomes when four fair coins are flipped.
Each coin lands facing either heads up (H) or tails up (T).

What is the probability that at least three coins land facing tails up? Give the probability as a percent, rounded to the nearest whole number.

Answers

Answer:

0.31     (31%)

Step-by-step explanation:

answer steps attached

Help please 20 points for anyone

Answers

Answer:

The answer is B!

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

In a craft activity, students are making flowers using ribbon. Each student will make one flower and each flower requires 18 inches of ribbon. About how many meters of ribbon are needed for 32 students? Note that 1 meter equals about 1.09 yards. Round to the nearest hundredths place.

Answers

Answer:

jbhhj

Step-by-step explanation:

kkkk

What is the volume of the cylinder shown below? A. 12157 units B. 3617 units C. 647 units D. 152 T units

1215 Units 3​

Answers

Answer:

D

Step-by-step explanation: the answer is D

What is the complete factorization of the trinomial x^2-8x+16?

A.
(x – 4)(x – 4)
B.
(x – 2)(x + 8)
C.
(x – 1)(x – 16)
D.
(x + 4)(x – 4)

Answers

Answer:

A. (x-4)(x-4)

Step-by-step explanation:

Note that (x+a)(x+b)=x²+(a+b)x+ab.

Looking at this with regard to our trinomial, x²-8x+16, in our case we could say that a+b=-8 and ab=16.

Since ab=16, we know a and b are pairs of factors of 16. So a and b are either (1 and 16), (2 and 8), (4 and 4).

We also know that a+b=-8, so which pair of factors above can be added or subtracted from each other to get -8? 4 and 4, or rather, -4 and -4.

So, since (x+a)(x+b)=x²+(a+b)x+ab, and in our case 'a' and 'b' are both -4, we can say that x²-8x+16=(x-4)(x-4).

I need this please help me

Answers

i believe it's c. it's the only reasonable answer.
I think it’s option C I’m not 100% sure sry if I’m wrong

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Answers

Answer:

1 4/5 pounds each

Step-by-step explanation:

9/5 = 1 4/5

Use the information provided to write the standard form equation of a
circle.
Center :(3,-2)
Point on Circle: (-3,-16)

Answers

Use this link to find your answer

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WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

So, Start with the formula

V= pi ×R² × H

V= pi × 9² × 2

V= pi × 81 × 2

V = 162 pi in³

Then ×2 = 342 in³

required volume =162π or 508.94or 509in³

Answer:

solution given:

radius (r)=9in

height(h)=2 in

we have

volume [V]=πr²h=π×9²×2=162π or 508.94in³

Find the surface area of the prism.

Answers

Answer:

[tex]A=202\ cm^2[/tex]

Step-by-step explanation:

Given that,

The dimensions of the prism are 4 cm, 9 cm and 5 cm respectively.

The formula for the surface area of the prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Put all the values,

[tex]A=2(4(9)+9(5)+5(4))\\\\A=2(36+45+20)\\\\A=202\ cm^2[/tex]

So, the required surface area of the prism is equal to [tex]202\ cm^2[/tex].

HELP HELP HELP

A zoologist studied the wild cat population of two islands during a four year span - Meow Island and Purr Island. She collected the following data about the population.



1. How would you describe the growth of each island ?

2. Which do you think will be modeled by a linear function ?

Answers

Answer:

Meow Island has a linear function.

Step-by-step explanation:

Meow Island increases by multiply the input by 3 for each coordinate. On the other hand, Purr Island increases by adding 4. Linear functions increase with multiplication, not by addition, and so Meow Island increases linearly.


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

DCA and EFH

Step-by-step explanation:

5) True or False: Absolute Value can never be negative * O True False​

Answers

Answer:

True

Step-by-step explanation:

Absolute value tells the distance a number is from 0.

[tex]|7|=7[/tex] because 7 is 7 units away from 0.

[tex]|-13|=13[/tex] because -13 is 13 units away from 0.

[tex]|0|=0[/tex] because 0 is 0 units away from 0

Absolute value always produces a number greater than or equal to 0, never negative.

PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.

Answers

Answer:

yxu and tux are the alternate interior angles

Step-by-step explanation:

you just go across and then the other side

so pretty much mirroring it twice

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]
7D
110%
А AT
X
B
>C
Angles are not drawn to scale.
Enter

Answers

Answer:

jngijmgjim

Step-by-step explanation:

gvnjv jg

Answer:

x=70°

Step-by-step explanation:

x+110=180 linear pair

x=180-110=70

Will give brainliest for correct answer

Answers

Answer:

The first picture on the second page

Step-by-step explanation:

The first picture on the second page would be the answer because it gives exactly one input for each output. It also passes the vertical line test because no point throughout the line creates a vertical line.

The first picture, none of the x values have 2 answers.

Danny flips four well-balanced coins. What are the odds that two of the coins will land ‘heads’ up?

Answers

Answer:

0.375 = 37.5% probability that two of the coins will land ‘heads’ up

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it lands heads, or it lands tails. The probability of a coin landing heads is independent of any other coin. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Four well-balanced coins.

This means that [tex]n = 4, p = 0.5[/tex]

What are the odds that two of the coins will land ‘heads’ up?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.5)^{2}.(0.5)^{2} = 0.375[/tex]

0.375 = 37.5% probability that two of the coins will land ‘heads’ up

Amanda runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?

Answers

Answer:

5.6 miles

Step-by-step explanation:

[tex]\frac{7}{80} =\frac{x}{64}[/tex]   Set up the proportion

[tex]7(64)=x(80)[/tex]  Cross multiply

[tex]448=80x[/tex]     Simplify

[tex]\frac{448}{80}=\frac{80x}{80}[/tex]    Divide both sides by 80

[tex]5.6=x[/tex]

A circle has a circumference of 113.04113.04113, point, 04 units.
What is the diameter of the circle?

Answers

Answer:

around 36 is the diameter

Step-by-step explanation:

C=2Pir or pi*d

113.04=pi*d

113.04/pi=d

d≈36

give me brainliest[tex]≈[/tex]

36 units is the diameter of the circle.

What is Perimeter?

The perimeter of a two-dimensional form is the space surrounding it. It represents the total length of the shape's sides. The units used to measure the sides of the form, such as meters, centimeters, inches, or feet, determine the units used to measure the perimeter.

We can use the formula for the circumference of a circle, C = πd,

where C is the circumference and d is the diameter.

Substituting the given value, we have:

113.04 = πd

To solve for d, we can divide both sides by π:

d = 113.04/π

Using a calculator to evaluate this expression, we get:

d ≈ 36

Therefore, the diameter of the circle is approximately 36 units.

Learn more about perimeter here:

https://brainly.com/question/6465134

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WORTH A LOT OF POINTS. WILL GIVE BRAINLEIST THINGY TO WHOEVER SOLVES IT!​

Answers

Answer:

the area of the small square 4c

the total area of the 4 triangles is 2ab

a^2+2ab+b^2 = a^2+2ab+b^2

subtracting gives 2ab from both sides gives us a^2+b^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=3x+5


you have to graph it

Answers

Try using m4thway or photom4th

Find the general term of series 1/2-1+2-4+

Answers

For the given sequence the general term could be defined as n/(n + 1), where 'n' is clearly a natural number.

What is the mass of a box that weighs 1.4 kilograms? (1,000 grams = 1 kilogram)

A. 14,000 g

B. 140 g

C. 1.4 g

D. 1,400 g

Answers

Answer:

D

Step-by-step explanation:

Answer:

it is D im 99% sure

Step-by-step explanation:

dddddddd

The population of China was about 1.39 billion in the year 2013with an annual growth rate of about 0.6\% . Find an equation P(t) that represents the growth function for China. Write your answer in the form a * (b) ^ 2 in billions Provide your answer below:

Answers

Answer: 1.39(1.006)^t

Step-by-step explanation:

The equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.

What is a Function ?

A statement that relates two unknown parameters such that one is dependent on the other is called a function.

It is given that

Initial population = 1.39 billion in 2013

Growth Rate = 0.6%

Let a represent the initial population

b is the growth rate

and 2 be the elapsed year from 2013

and let the population at any given year is P(t)

Then the equation formed is

P(t) = a * bⁿ

P(t) = 1.39 * ( 1.006)ⁿ

Therefore the equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.

To know more about Function

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4. 2x2 + 4x + 10 = 0

Answers

Answer:

Step-by-step explanation:

This doesn't factor. Not only that, but it does not give real results. The discriminate is negative.

a = 2

b = 4

c = 10

You could divide this equation by 2

a = 1

b = 2

c = 5  

These three are smaller and easier to calculate. The answer will be the same.

x = (- b +/- sqrt(b^2 - 4*a*c ) / (2 a)

x = (-2 +/- sqrt(^2 - 4(1)*(5) ) / 2*1

x = (-2 +/- sqrt(4 - 20) ) / 2

X = (-2 +/- sqrt(-16) ) /2

x = (-2 +/- 4i ) / 2

x = ( - 1) +/- 2i

what is
8 + 2 × 6 - 2^4

Answers

Answer:

4

Step-by-step explanation:

8+2=10

10x2=60

60-2^4=4

the value of 2^4 is 56

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8 + 2\times6 - 2^4 }[/tex]

[tex]\mathsf{2\times 6 = \bf 12}[/tex]

[tex]\mathsf{8 + 12 - 2^4}[/tex]

[tex]\mathsf{8 + 12 = \bf 20}[/tex]

[tex]\mathsf{20 - 2^4}[/tex]

[tex]\mathsf{2^4}[/tex]

[tex]\mathsf{= 2\times 2\times2\times2 }[/tex]

[tex]\mathsf{= 4\times 4 }[/tex]

[tex]\mathsf{= \bf 16}[/tex]

[tex]\mathsf{20 - 16 = \bf 4}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 4}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Find the surface area of the prism below.



Square meters

Answers

Answer:

loluuuhsjsjzjjnsjs

Step-by-step explanation:

bzisjsjxjshsusud773938

(PLEASE ANSWER FAST)

Some friends are eating crackers. The number of crackers, y, that each person gets is inversely proportional to the number of people, x, who are sharing the crackers. When 4 people share the crackers, each person gets 12 crackers. What is an inverse proportion equation that represents this situation? How many crackers will each person get if 8 people are sharing the crackers?

(PLEASE ANSWER FAST)

Answers

Answer: yx (4)(12) / 8

Step-by-step explanation:

Answer:

1. What is an inverse proportion equation that represents this situation?

y=48/k

2. How many crackers will each person get if 8 people are sharing the crackers?

6 crackers

Step-by-step explanation:

1. What is an inverse proportion equation that represents this situation?

The number of crackers, y, is inversely proportional to the number of people, x. In mathematical terms, this is y=k/x, where k is some number.

When there are 4 people, each person gets 12 crackers:

y=k/x

12=k/4

48=k

Therefore, our equation is y=48/x

2. How many crackers will each person get if 8 people are sharing the crackers?

y=48/x, where y is the number of cracker and x is the number of people.

y=48/8

y=6

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