Mark placed a pool in his backyard, which is enclosed by a triangular fence. The radius of the pool is 20.5 feet.

Mark Placed A Pool In His Backyard, Which Is Enclosed By A Triangular Fence. The Radius Of The Pool Is

Answers

Answer 1

Answer:

A. 3,864 ft²

B. 1,319.585 ft²

C. 2,544.415 ft²

Step-by-step explanation:

Area of triangle:

½ × 92 × 84

3864 ft²

Area of circle:

pi × r²

3.14 × 20.5²

1319.585 ft²

Difference:

3864 - 1319.585

2544.415 ft²


Related Questions

Will mark brainliest!

Answers

Answer:

48

Step-by-step explanation:

6*8 = 48

I've seen you so "Will mark brainliest," many times today. Do not export people if that is what you're doing.

Answer:

Your answer is 48 sq. ft.

Step-by-step explanation:

Why? Because A= L(W) Therefore, A= 8(6)=48

NEED HELP PLEASE: Four shaded circles, each of radius 4 feet, are packed in a square as shown. Suppose you drop a coin onto the square at random. What is the probability that the center of the coin lands in a non-shaded area?

Answers

Answer:

16.0%

Step-by-step explanation:

Which three-dimensional figures have lateral faces that are polygons? Check all that apply. cones cylinders hemispheres prisms pyramids spheres

Answers

Answer:

Prisms

Pyramids

Step-by-step explanation:

Lateral faces of a pyramid are triangles (3 sided polygon)

Lateral faces of prisms are rectangles (4 sides polygon)

Answer:

Cylinders, Prisms, Pyramids

Step-by-step explanation:

Hope this helps

Brainliest if correct pls

a rectangular field has side lengths that measure 9/10 mile and 1/2 mile what is the area of the field

Answers

Answer:

[tex]\frac{9}{20}miles^2=0.45miles^2[/tex]

Step-by-step explanation:

To find the area of a rectangle:

[tex]a=l*w[/tex]

where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

In this case:

length: [tex]l=\frac{9}{10}miles[/tex]

width: [tex]w=\frac{1}{2} miles[/tex]

thus, we multiply this quantities to find the area:

[tex]a=(\frac{9}{10} miles)(\frac{1}{2}miles )\\\\a=\frac{9*1}{10*2}miles^2\\ \\a=\frac{9}{20}miles^2[/tex]

the area of this rectangle is 9/20 miles squared, or what is the same 0.45 miles squared

Help me I will give you brainliest!!!!

Answers

Answer:

2/36

Step-by-step explanation:

There are 36 possibilities when rolling a die

There are 2 that sum to 11

P (sum of 11) =  sum of 11/ total

                      =2/36

                        1/18

The area of a square is 196 square meters. What is
the length (in meters) of one side of the square?

Answers

Answer:

14 meters

Step-by-step explanation:

A square must have all equal sides, meaning the square root of 196 would be the length and width of the square, the square root of 196 is 14.

Complete section for 18 points.

Answers

Answer:

2,3,4,6, and 8

Step-by-step explanation:

2 is divisible by 24 because it is a multiple of 24

3 is divisible by 24 because it is a multiple of 24

4 is divisible by 24 because it is a multiple of 24

6 is divisible by 24 because it is a multiple of 24

8 is divisible by 24 because it is a multiple of 24

i am not sure about the explain.

i suck at explaining things

Test each of the following to see if it is divisible by 2,3,4,5,6,8,9,10, or 25 and say why.

1)24

Answers:

Divisible by 2: yes, because it is an even number. The even numbers are those which end in 0, 2, 4, 6, or 8. Result: 24/2 = 12

Divisible by 3: yes, because the sum of its digits is a multiple of 3: 2 + 4 = 6 is a multiple of 3. Result: 24/3 = 8

Divisible by 4: yes, result: 24/4 = 6

Divisible by 5: no, because a number is divisible by 5 if it ends in 0 or 5.

Divisible by 6: yes, because it is divisible by 2 and by 3, then it is divisible by 6. Result: 24/6 = 4.

Divisible by 8: yes, result: 24/8 = 3

Divisible by 9: no, because the sum of its digits is not a multiple of 9.

Divisible by 10: no, because a number is divisible by 10 if it ends in 0.

Divisible by 25: no, because 25 is a number greater than 24.

Spymore

THIS IS NOT A QUESTION!
This is a list of Area and Perimeter on the coordinate plane answers from Khan Academy.

approximate perimeter of STRIPE is 36.01

area of rectangle TOUR is 80

perimeter of of polygon CHOMP is 32.52

area of parallelogram YORK is 122

the area of trapezoid MASK is 34

The approximate perimeter of polygon CODIFY is 51.53

The area of triangle SOL is 52

The approximate perimeter of polygon DINGO is 34.44

the approximate perimeter of the isosceles triangle PAZ is 20.03

the area of triangle CAW is 10

The approximate perimeter of rectangle PEAR is 34.99

The area of trapezoid COWL is 45

The area of triangle TOP is 87/2 units

The approximate perimeter of triangle VEN is 29.80

The area of parallelogram TOWN is 40

the approximate perimeter of quadrilateral BOAT is 30.34

Answers

Omg! Thank you. I was stuck for like an hour till I found this.

Answer:

Omg, thank you so much

Step-by-step explanation:

In a Normal Distribution. What percentage of the values lie below the Mean?
100%
75%
25%
50%

Answers

Answer:

50%

Step-by-step explanation:

The mean ideally should be in the exact middle

Which theorem or postulate could be used to prove the congruence of the triangles?

Answers

Answer:

Yes! There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Step-by-step explanation:

The postulate used to prove the congruence of the triangles is ASA.

Option B is the correct answer.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two right triangles.

∠90° = ∠90°

side = side (given)

Angle = Angle (given)

By ASA (angle side angle)

The triangles are congruent.

Thus,

The postulate is ASA.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2



E=mc
(the 'c' is squared btw.. it has a little 2 at upper right conner)
To solve for " m " in the formula shown above, you should:
Select one:
a. A.) Divide both sides of the equation by c squared.
b. B.) Subtract c squared from both sides of the equation.
c. C.) Multiply both sides of the equation by c squared.
d. D.) Add a negative c squared to both sides of the equation.

Answers

Answer:

A

Step-by-step explanation:

Divide both sides of the equation by c²

Determine the value of
X in the diagram below. Justify your reasoning.

Answers

Answer:

x = 70°

Step-by-step explanation:

Sum of external angles of polygon = 360

x + 150 + 140 = 360

x + 290 = 360

x = 360 - 290

x = 70°

The probability of not choosing a black shirt is...? please explain!

Answers

Answer:

80% or 8/10.

Step-by-step explanation:

Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white,  2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.

The probability of not choosing a black shirt is 8/10. Because there is 10 shirts and 8 are not black.

W varies inversely as the square of t. If W = 12 when t = 2,

find t when W = 27.

A. 27t = 24

B. 27t2 = 48

C. 108 = 12t

D. 12t = 54

Answers

Answer:

B

Step-by-step explanation:

Given W varies inversely as t² then the equation relating them is

W = [tex]\frac{k}{t^2}[/tex] ← k is the constant of variation

To find k use the condition W = 12 when t = 2, thus

12 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

k = 48

W = [tex]\frac{48}{t^2}[/tex] ← equation of variation

When W = 27, then

27 = [tex]\frac{48}{t^2}[/tex] ( multiply both sides by t² )

27t² = 48 → B

B)  27 t² = 48 will be the algebraic equation for t if W = 27.

What is proportionality?

In arithmetic, proportional or proportional meaning denotes equivalence between two ratios. In the equation a/b = c/d, a and b have the same percentage as c and d. A percentage is primarily established for solving a word problem using one of its four unknown quantities.

Given W varies inversely proportional to t² then the algebraic equation relating them is

W =  k / t² is the constant of variation

for k we can use the condition W = 12 when t = 2,Hence,

12 =  k / 2²

k = 48

When W = 27, then

27 = 48 / t²  ( multiply by t² )

Therefore, t in the form of algebraic equation is 27 t² = 48 Hence, option B is correct.

Learn more about proportionality here:

https://brainly.com/question/14508634

#SPJ5

Mrs. Smith has $20,000 to invest. She wants to earn $10,000 in interest. She is considering a savingsand loans bank that is offering her 5.6% interest per year. For how long will she have to leave her money in the bank in order to reach her goal of $10,000?

Answers

Answer:

Number of year to get $10,000 as interest = 7.5 year (Approx)

Step-by-step explanation:

Given:

Initial investment = $20,000

Interest on investment = $10,000

Rate of interest = 5.6% = 0.056

Find:

Number of year to get $10,000 as interest:

Computation:

[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]

Number of year to get $10,000 as interest = 7.44

Number of year to get $10,000 as interest = 7.5 year (Approx)

HELP ME QUICK PLZ WITH THIS MATH PROBLEM!!!!!!!!!!!!!!

Answers

Answer:

I believe it’s 1/2

Step-by-step explanation:

Take a point on the graph and use rise over run method

Answer:

D. 5/8 pounds

Step-by-step explanation:

You can find the slope by picking a point such as (8,5).

Slope = rise over run.

(8,5) is 8 units right and 5 units up, thus the slope is 5/8

Hope this helps.

Which of the following shows the correct simplification assuming the denominator is not equal to zero?

Answers

Answer:

[tex]=\frac{3x+2}{x\left(x+1\right)}[/tex]

or

[tex]\frac{(3x+2)}{x^2+x}[/tex]

Step-by-step explanation:

[tex]\frac{2}{x}+\frac{1}{x+1}\\\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x+1:\quad x\left(x+1\right)\\Adjust\:Fractions\:based\:on\:the\:LCM\\Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:x\left(x+1\right)\\\mathrm{For}\:\frac{2}{x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x+1\\\frac{2}{x}=\frac{2\left(x+1\right)}{x\left(x+1\right)}\\[/tex]

[tex]\mathrm{For}\:\frac{1}{x+1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x\\\frac{1}{x+1}=\frac{1\cdot \:x}{\left(x+1\right)x}=\frac{x}{x\left(x+1\right)}\\=\frac{2\left(x+1\right)}{x\left(x+1\right)}+\frac{x}{x\left(x+1\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2\left(x+1\right)+x}{x\left(x+1\right)}\\[/tex]

[tex]\mathrm{Expand}\:2\left(x+1\right)+x:\quad 3x+2\\2\left(x+1\right)+x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=x,\:c=1\\=2x+2\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2x+2\\\mathrm{Simplify}\:2x+2+x:\quad 3x+2\\2x+2+x\\\mathrm{Group\:like\:terms}\\=2x+x+2\\\\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=3x+2\\=\frac{3x+2}{x\left(x+1\right)}[/tex]

Please help! I will give you brainliest !

Answers

Answer:

70 and 21

Step-by-step explanation:

6parts of the ratio represents 84 students

Divide 84 by 6 to find the value of one part of the ratio

84 ÷ 6 = 14 ← value of 1 part of the ratio, thus

5 parts = 5 × 14 = 70 ← number of Michigan students

Indiana students = 175 - (84 + 70 ) = 175 - 154 = 21

Use the distance formula to write an equation of the parabola with focus F(0, -13) and directrix y=13

y=?

(FINALEXAM)

Answers

Answer:

-1/52 x^2

Step-by-step explanation:

4p(y-k)=(x-h)^2

4(-13)y=x^2

-52y=x^2

y=-1/52 x^2

Which number is equal to 10 Superscript 4?
40
1,000
10,000
40,000

Answers

Answer: The answer is 10,000

Step-by-step explanation:

10^4 is equal to 10,000

10^4 to the second power means that you have too add 4 zeros to the end of the number.

Since 10 already has a 0, you would add 3 more.

Therefore, the answer would be 10,000.

(Your Welcome)

Answer:

10^4 is equal to 10,000

10^4 to the second power means that you have too add 4 zeros to the end of the number.

Since 10 already has a 0, you would add 3 more.

Therefore, the answer would be 10,000.

f(1)=-3
f(n)=2*f(n-1)+1
f(2)....

Answers

Answer:

6

Step-by-step explanation:

when u substitude the value of n as 2

u get 2*2-1+1=6

hope this helps

there is a mistake in question that f(1)= -6

but i have answered correctly

pls mark me brainliest

Answer:

f(2)= - 5

Step-by-step explanation:

hello :

f(1)=-3

f(n)=2f(n-1)+1

n=2 : f(2) = 2f(2-1)+1 = 2f(1)+1   but f(1) = -3

so : f(2)=2(-3)+1 =-6+1=-5

without calculating steven says that prisms A and B have the same volume. Explain why Steven is correct​

Answers

Answer:

The shapes are the same, just one is sideways. They also have very similar measurements.

Step-by-step explanation:

Even so, when we check this we get:

(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2

when simplified (solved) this is: 18 3/8 = 18 3/8

three-fourths the square of a number

Answers

Answer:

i think it is D i am sorry if it is wrong

Step-by-step explanation:

Divide and answer in simplest form: 4/5 ÷ 2

Answers

Answer:

2/5

Step-by-step explanation:

4/5*1/2=4/10=2/5

Answer:

0.4 or [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

First convert 4/5 into a decimal of 0.8

Then divide 0.8 by 2 which gives you 0.4 or [tex]\frac{2}{5}[/tex]

what is the surface of the square pyramid ?

A. 168,750 square yards
B. 5625 square yards
C. 14,625 square yards
D. 20,250 square yards
(50 points)

Answers

Answer:

D. 20,250 square yards

Step-by-step explanation:

Base + 4 triangles

(75×75) + 4(½×75×97.5)

5626 + 14625

20250 yd²

Evaluate b - (-1/8) + c where b = 2 and c = - 7/4

Answers

Answer:

3/8 = 0.375

Step-by-step explanation:

Substitute the values of b and c

2+1/8-7/4

16/8 + 1/8 - 14/8= 3/8

Answer:

the answer is 3/8

Step-by-step explanation:

it's from khan

What is the area of the triangle?

A right triangle with side lengths 3 inches, 4 inches, and 5 inches.
A.6 square inches
B.7 and one-half square inches
C.10 square inches
D.12 square inches

Answers

The answer is D = 12 square inches

Answer:

The answer is A. 6 square inches

Step-by-step explanation:

The area of a triangle is half the product of the height and base

The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that at least one egg is cracked. Write the entire decimal answer.

Answers

Answer:

[tex]P(X \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]

[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]

And replacing we got:

[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

[tex]X \sim Binom(n=2, p=0.01)[/tex]

The probability mass function for the Binomial distribution is given as:

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

Where (nCx) means combinatory and it's given by this formula:

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

And we want to find this probability:

[tex]P(x \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]

And we can find the probability:

[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]

And replacing we got:

[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]

Solve.
-6x^2 - 2 - 3x=-8
a)x=5+√57÷16
b)x=-4+√34÷3
c)x=-7+3√41÷16
d)x=1+√17÷-4​

Answers

Answer:

So the d) is right.

Step-by-step explanation:

we have:

-6x^2 - 2 - 3x=-8

6x^2 + 3x - 6 =0

The delta = 3^2 -4*6*(-6) = 9 + 144 = 153= 9*17

These 2 solutions are:

[tex]x_{1} =\frac{-3+3\sqrt{17} }{2*6} = \frac{-3+3\sqrt{17} }{12} =\frac{-1+\sqrt{17} }{4} \\x_{2} =\frac{-3-3\sqrt{17} }{2*6} = \frac{-3-3\sqrt{17} }{12} =\frac{-1-\sqrt{17} }{4}[/tex]

So the d) is right.

Given the exponential equation y=34(5)x, what is the y-intercept (or starting point) of the graph?

Answers

Answer:

34

Step-by-step explanation:

Given

y = 34[tex](5)^{x}[/tex]

To find the y- intercept let x = 0, that is

y = 34[tex](5)^{0}[/tex] = 34 × 1 = 34 ← y- intercept

Yes the answer is 34 because if you

Other Questions
Grinding a seltzer tablet into powder increases the rate of reaction due to an increase of which factor? Temperature Surface area Reactants Concentration In what ways did Charles Lyell impact Charles Darwins theory of evolution? What type of relationship did Darwin have with Charles Lyell? How did Darwin learn about Charles Lyell's ideas? what conflic does percy jackson face in chapter 2 of the book Percy Jackson And The Lighting Thife Mr. Anderson has 4 recipes for granola. Which recipe has the greatest ratio of honey to oats? 3. On page 23, Katie says:In the dream, I was watching the wave crest over me and I could feel the tug of the ocean, the salt spray on my face. I heard the ocean breathing, like when you hold a shell to your ear, and it sounded like the sighs of all those people in Tohoku as their bodies were washed out to sea and their spirits went right to heaven.What can you infer about how Katie is feeling based on this dream? 3/4 x 1/4next problme: 3/5 x 1/5100 pts If a 1.45 M solution has 2.43 g HCl dissolved, what is the volume of solution? (Change g HCl into mol using molar mass) What type of mutation is taking place in this diagram?Answer options in the photo We conduct a study to determine whether the majority of community college students plan to vote in the next presidential election. We choose a significance level of 0.05. We survey 650 randomly selected community college students and find that 54% of them plan to vote. The P-value is 0.02. H0: 50% of community college students plan to vote in the next presidential election. Ha: More than 50% of community college students plan to vote in the next presidential election. What can we conclude please help me with this exerciseI will mark you as a brainliest Escribe. Write a list of the steps you take to set the table. Use the verb poner in the yoform.Modelo: Pongo el tenedor a la izquierda del plato. Imagine that you are given the opportunity to create your own TV channel and select the programming that appears on your channel. write a TV listing page from a television guide in which you name and describe the programs you would show, including the type of programs that they are, what they are about and a critic's opinion of each one. use as many Spanish vocabulary words and phrases as possible in your TV listing. pls help it will mean alot!!due rn!! Which word with x has a different pronunciation than the other three? a. xito b. examen c. prximod. exclamar The Red Wolf Society, a nongovernmental not-for-profit organization, receives numerous contributed hours from volunteers during its busy season. Tom, a clerk at the local government utilitys office, volunteered ten hours per week for 8 weeks transferring wolf food from the port to the wolf shelter. His rate of pay at the utility office is $20 per hour, and the prevailing wage rate for laborers is $15 per hour. What amount of contribution revenue should Red Wolf Society record for this service? Multiple Choice $1,200 $400 $1,600 $0 During the winter this species of fox has white fur, but in the summer, it has brown fur. What environmental change may have lead to this fox's fur color? pls what is a friendly relationship What does ROCAPV mean? What is the volume of this rectangular prism? Was John Brown justified in his violence in the name of abolition? Why or why not?