Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.



What is the distance around the pool? The distance around the pool is
131.4/ 162.8/ 957/ 1114 feet.



What is the area of the pool? The area is 131.4/ 162.8/ 957/ 1114 square feet.


Lucys Parents Built A Swimming Pool In The Backyard. Use 3.14 For .What Is The Distance Around The Pool?

Answers

Answer 1

Answer:

Distance around the pool = 162.8 feet

Area of the pool = 957 square feet

Step-by-step explanation:

Distance around the swimming pool = Perimeter of the pool

Perimeter of the pool which is a composite figure will be,

= Circumference of the semicircle + Sum of three sides of the pool

= πr + 2×(length of the pool) + width of the pool

= 3.14×(10) + 2×40 + 20

= 62.8 + 80 + 20

= 162.8 ft

Area of the pool = Area of the semicircle + Area of the rectangular pool

                           = [tex]\frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})[/tex]

                           = [tex]\frac{1}{2}(3.14)(10)^2+(40\times 20)[/tex]

                           = 157 + 800

                           = 957 square feet


Related Questions

Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.

q = 5
q = -5
q = 3
q = -3
q = 25

Answers

Answer:

Step-by-step explanation:

your equation shown above is set up incorrectly in order to solve this i need the right equation you must plug in each number to q to find the right solution

Answer: q=[tex]5\sqrt{5} , -5\sqrt{5}[/tex]

Step-by-step explanation:

the roots (zeros) are the x values where the graph intersects the x-axis. to find the roots (zeros) , replace y with 0 and solve for x.

i need help please....

Answers

Answer:

34

Step-by-step explanation:

area = (1/2)base * height.

area= half of 17 times 4

a=8.5 x 4

a=34

Answer: C

Step-by-step explanation:

Area = 1/2 bh

Area = 1/2 x 4 x 17

= 34 sq inches

Which is a zero of the quadratic function f(x) = 9x2 - 54x – 19?
x= 1/3
x=3 1/3

Answers

Answer:

x =1/3

Step-by-step explanation:

the zero quadratic function is x=1/3

Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.

Answers

Answer:

A(√2) would be the correct answer.

Answer:

[tex] \boxed{A. \: \sqrt{2} \: \: \: and \: \: \: F. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]

Step-by-step explanation:

[tex] = > \frac{ \sqrt{18} }{ \sqrt{9} } = \frac{ \sqrt{9 \times 2} }{ \sqrt{9} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{9}} \times \sqrt{2} }{ \cancel{ \sqrt{9} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

[tex]F. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

The Ecology Club was planning to take a field trip either to the seacoast or the mountains. The club president surveyed all of the members to determine the preferred trip. The results are displayed in the table below. Which statement is true about the results of the survey?


A. 20% of eighth-grade students preferred the seacoast

B. 32% of seventh-grade students preferred the mountains

C. 40% of students preferred the mountains

D. 48% of students preferred the seacoast

Answers

Answer:

The statement true about the results of the survey is:

D. 48% of students preferred the seacoast.

Step-by-step explanation:

To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:

150 = 100 (100% of surveyed really, but is easier to understand in this form) 72 = X

And operate:

X= (72 * 100) / 150 X = 48 (this means the 48%)

How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.

What is 12-12 if it’s not 0?

Answers

Answer:

it will still be zero

Step-by-step explanation:

12-12 = 0

the answer is 12-12=0

for an angle 0 with the point (-5,-12) on its terminating side, what is the value of cosine?
A. -5
B. -12
C. -5/13
D. -12/13

Answers

Answer:

We have to find the value of cosine for an angle with point ( 5, - 12 ) on its terminating side. First we have to find the hypotenuse ( Adjacent = 5, Opposite = 12 ) : c^2 = 5^2 + 12^2 = 25 + 144 = 169; c = sqrt(169 ), c = 13. Cosine for an angle = Adjacent / Hypotenuse = 5 / 13 = 0.385. Answer: The value of cosine is 5/13, Hope that helps!.


Graph the following line on the axes provided:
F(x)=5/4x+1
Can you guys please help me am struggling with this

Answers

view the attached image for the graph.

20 POINTS !!! Write 5 true statements for this picture and then After those 5 statements add a becuase and tell why is it true

Answers

MHL is an obtuse angle, 160>90

HPK is an acute angle, 20<90

LHK is an acute angle, it looks smaller than 90

MHJ is an acute angle, it looks smaller than 90

JL intersects MK

the high temperature in Alaska in December was 30 f and the low temperature was -2 f. what is the difference between the high and low temperatures?​

Answers

Answer:

the difference would be 28 degrees.

Step-by-step explanation:

The question says difference so we subtract the two following temperatures 30 and -2 which would be 28 degreees.

Answer: The difference between the high and low temperature in the thermometer is 32°F.

Step-by-step explanation:

Given information: Highest temperature = 30°F and the lowest temperature = -2°F.

We need to find the difference between the high and low temperature in the thermometer.

Difference between the high and low temperature is

Difference = Highest temperature - Lowest temperature

Difference = 30°F - (-2°F)

Difference = 30°F + 2°F

Difference = 32°F

What is the difference between (8y-7) and (1-3y)?

Answers

________________________________

Solution,

(8y-7)-(1-3y)

= 8y-7-1+3y

= 8y+3y-7-1

=11y-8

Hope it helps

Good luck on your assignment

_____________________________

Jorge bought a watch on sale for 25% off the original price and another 75% off the discounted price. If the watch originally costs $64, what was the final sale price that Jorge paid for the watch?

Answers

Answer:

12

Step-by-step explanation:

Please help ASAP.Will mark as brainliest.

Answers

Answer:

angle 1 and 3, and angle 2 and 4

Step-by-step explanation:

Answer:

1 and 3 AND 2 and 4

Step-by-step explanation:

Supplementary angles are angles that add up to 180, therefore we can assume that any angles that make a straight line together are supplementary. 1 and 4 do not make a straight line. 2 and 3 do not either. So we have to assume that the answer is either 1 and 3 or 2 and 4. Not sure whether you want one or two answers

What is the volume of a figure with that is 6 inches wide, 3 inches tall and 4 inches long?

Answers

Answer:

6*3*4 = 24*3 = 72 in^3

Answer:

72 cubic inches

Steps:

6*3*4 = 72

Description:

So its asking what is the volume. We know that we need to multiply. SO we get all the numbers from the question that is 6, 3 and 4. Multiply 6 times 3 times 4. You will get the answer that is 72.

Answer: 72 cubic inches

Please mark brainliest

Hope this helps.

Someone help me ASAP please

Answers

Answer:

Step-by-step explanation:

use a^2+b^2=c^2.

5^2+7^2=c^2

25+49=c^2

sqrt74= 8.6 so side c is about 8 units

Answer:

C. about 8 units

Step-by-step explanation:

correct answer is c

The triangular park shown below is going to be surrounded by a fence the dimensions of the park are given in feet. How many feet of fencing will be needed to surround the entire park

Answers

Answer:

its 65

Step-by-step explanation:

I don’t know how to label the sides as “opposite, adjacent, hypotenuse” so I’m not sure which formula to use

Answers

Step-by-step explanation:

The opposite side is the side of the triangle facing the given angle. The adjacent side is the side that the given angle and the right angle lies on. The hypotenuse side is the side facing the right angle. (The hypotenuse side usually looks like a slanted line. Do note that this is not true if your adjacent and hypotenuse side is not horizontal and vertical respectively on the plane of your paper.)

I'll explain a bit more below using the some of the questions.

Q1) The given angle here is 27°.

X is facing the given angle hence it is the opposite side.

The side that is 10 units long is the adjacent side as 27° and the right angle sits on it.

tanθ= opp/adj

tan27°= x/ 10

x= 10(tan 27°)

x= 5.1 units (nearest tenth)

Q3) x is the adjacent side, while the side that is 7 units long is the hypotenuse side.

cosθ= adj/hyp

cos39°= x/7

x= 7(cos39°)

x= 5.4 units (nearest tenth)

Q4) x is the hypotenuse and the opposite side is 8 units long.

sinθ= opp/hyp

sin46°= 8/x

x(sin46°)= 8

x= 8/ sin46°

x= 11.1 units (nearest tenth)

Q5) x is facing the given angle, hence it is the opposite side. The adjacent side is given here, which is 6 units long.

tanθ= opp/adj

tan23°= x/6

x= 6(tan 23°)

x= 2.5 units (nearest tenth)

Feel free to ask if you still do not understand any concepts :)

sinθ= opp/hyp

cosθ= adj/hyp

tanθ= opp/adj

Two machines are printing shirts. The first machine can produce 2,520 shirts in 180
minutes. The second machine can produce 1,440 shirts in 120 minutes. If the two
machines work together, how long will it take them to produce 6,500 shirts? If necessary,
round your answer to the nearest whole number.

Answers

Answer:

250Min

Step-by-step explanation:

1st machine = 2520 divided by 180min =14shirts/min

2nd machine =1440 divided by 120min =12 shirts/min

14 shirts/min +12shirts/min =26shirts/min

6500 shirts divided by 26shirts/min =250min

The answer is 250 minutes.

What is the rounding of decimals?

Rounding of decimals refer to the rounding of decimals to certain accuracy. Process of rounding of decimals ; put simply , if the last digit is less than 5, round the previous digit down. However, if it is greater than 5 then round the previous digit up.

Given, The first machine can produce 2,520 shirts in 180 minutes.

So, the first machine is making 2520 / 180 = 14 shirts per minute.

And The second machine can produce 1,440 shirts in 120 minutes.

So, the second machine is making 1440 / 120 = 12 shirts per minute.

If the both machines work together then both are making 14 + 12 = 26 shirts per minute.

To take them to produce 6500 shirts , both will take 6500 / 26 = 250 minutes .

Hence the answer is 250 minutes.

To learn more about the rounding of decimals;

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Twice a certain number is tripled. The resulting number is _____. 2x + 3 2x - 3 (2x)3 (2x)

Answers

Answer:

(2x)3

Step-by-step explanation:

Twice a certain number is tripled. Use x as the unknown number and double it.

2x

Now triple the whole answer

(2x)3

Answer:

[tex](2x)3[/tex]

Step-by-step explanation:

Let's say [tex]x[/tex] is the number.

Our answer would be:

[tex]2x*3[/tex] or [tex](2x)3[/tex]

You can assign [tex]x[/tex] a value and it will get you double the number, then triple of that number.

Sorry if it seems like I'm copying the other person.

When a number is decreased by 5%, the result is 20. What is the original number to the nearest tenth?

Answers

Step-by-step explanation:

so round up is b equal a plus 10....

Which number line correctly shows –0.8 + 0.6? A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.8 to negative 0.2, and then backwards from 0 to negative 0.8. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to negative 0.8 and then from negative 0.8 to negative 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to 0.8 and then from 0.8 to 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.6 to 0.2 and then from 0 to negative 0.6.

Answers

Answer:

Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line

Step-by-step explanation:

which number line shows correctly -0.8 + 0.6?

well lets write it in words minus eight tenths plus six tenths\

so minus:

you go 0.8 units to the left from 0,

then plus:

you go 0.6 units right from -0.8, getting to -0.2

since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:

we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2

The correct option is Option A: the number line goes from -1.6 to 1.6. An arrow goes from -0.8 to -0.2, and then backs from 0 to - 0.8.

What is a number line?

The number line is a straight line that is infinitely extended on which integers are placed in a unit interval.

Here given that we have to find the number line which shows -0.8 + 0.6

By checking all the options

Option A: in this option arrow goes from -0.8 to -0.2. the distance covered will be -0.2-(-0.8)= -0.2+0.8= 0.6. Then arrow backward from 0 to -0.8. then the distance will be -0.8-0= -0.8. So total displacement will be -0.8+0.6.

Hence option A is correct.

Option B: in this option arrow goes from 0 to -0.8 then the distance will be -0.8-0= -0.8. Then the arrow goes from -0.8 to -1.4. then the distance will be= -1.4-(-0.8)= -1.4+0.8= -0.6. So total displacement will be -0.8-0.6.

Hence Option B is incorrect.

Option C: in this option arrow goes from 0 to 0.8 then the distance will be =0.8-0= 0.8 then the arrow goes from 0.8 to 1.4. Then the distance will be 1.4-0.8= 0.6. So the total displacement will be 0.8+0.6

Hence Option C is incorrect.

Option D: in this option arrow goes from -0.6 to 0.2 then the distance will be 0.2-(-0.6)= 0.8 then the arrow goes from 0 to -0.6 then the distance will be= -0.6-0= -0.6. Then the total distance will be -0.6+0.8

Hence Option D is incorrect.

Therefore the correct option is Option A.

Learn more about the number line

here: https://brainly.com/question/24644930

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Colton is painting a set of figurines a solid color. It takes him 15 minutes and 5 milliliters of paint to finish a small figurine. It takes him 30 minutes and 8 milliliters of paint to complete a large figurine. Colton plans to paint for at least 360 minutes, and he can use a maximum of 100 milliliters of paint.

This graph and system of inequalities represent this situation, where x represents the number of completed small figurines and y represents the number of completed large figurines.

15x + 30 ≥ 360
5x + 8y ≤ 100



Which solution is valid within the context of the situation?

A.
(4,10)
B.
(-2,13)
C.
(1,11.75)
D.
(6,9)

Answers

Answer:

A

Step-by-step explanation:

B,C,D are not in the pink/purplish area when you plot them on the graph

Brainliest plz

Dear some moderators,

read before you delete no brainers!

From, a brainly user

Answer:

A. (4,10)

Step-by-step explanation:

Find the domain and range of the function:
f(x) =5-x-3 to the square root
Domain:
Range:

Answers

Domain: x ≤ 5

Range: y ≤ -3

What do you mean by Square roots?

The square root of a number is an element that can replicate itself to find that number. The square root symbol is \ sqrt {} square root of, end square root. Finding the square root of a number is the opposite of multiplying a number.

Is √ it a square number?

The square root of a number is a number that, when multiplied by itself, is equal to the required value. So, for example, the square root of 49 is 7 (7x7 = 49). The process of multiplying a number itself is called squaring.

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Lesson 1 exit ticket Name

Please make a copy and then work on it, thank you!

1, Fill in the chart converting between fractions, decimals and percents.


Fraction mmmmmmmmDecimal mmmmmmmmPercent
⅛ mmmmmmmmmmm0.125mmmmmmmmmm12.5%
1245/1000 mmmmmm1.245 mmmmmmmmmm124.5%
40/100mmmmmmmm.4mmmmmmmmmmmm ⅖ %
I wrote the letter m to seperate nothing other works here.

Show your work here.
8 times .125 = 1 that is 12.5%.

1.245 = 1245/1000 which is 124.5%.

⅖% is 40% which equals 0.4 or 40/100




2. Using the values from the chart in problem 1, list them from least to greatest.

12.5%

⅖%

124.5%

Answers

Step-by-step explanation:

To find the answer, you would have to first put 2/5 in a decimal form. 2/5 in decimal form would be 40%. Now, it becomes easier to list the values.

Answer:

12.5%, 40%, 124.5%

I would appreciate if you mark me as branliest!

Where is the largest element in the matrix located? a12 ON a34 a21

Answers

Is there any picture so I can help you?

Answer:

a21

Explanation:
I got it wrong the first two times and this is the answer it gives you.

hi what is the answer for this please

Answers

Answer:

Step-by-step explanation:

It was reflected over the x axis

That's all I see

I will give brainliest answer

Answers

Step-by-step explanation:

inner region

A=πr^2

A=π*6^2

A=π*36cm^2

A=113.09cm^2

shaded region(outer)

A=πr^2

A=π*9^2

A=π*81cm^2

A=254.46cm^2

Area of shaded region=254.46cm^2-113.09cm^2

=141.37cm^2

Mark brianliest if my answer suit your question

Radius of the outer circle = 9cm

Area of a circle = πr²

= π×9×9

= 254.34cm²

Radius of the inner circle = 6cm

Area of a circle = πr²

= π×6×6

=113.04cm²

Therefore, area of the shaded region = 254.34-113.04

=141.30cm²

please help me !!
slope and y-intercept
*image attached

Answers

Answer:

slope = 1 and y- intercept = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 6) ← 2 points on the line

m = [tex]\frac{6-4}{2-0}[/tex] = [tex]\frac{2}{2}[/tex] = 1

The y- intercept is the y- coordinate of the point where the line crosses the y- axis.

Here the y- intercept = 4

What is the measure of ED (the minor arc) in the diagram below?
HELPPP ASAP PLS

Answers

Answer:

C

Step-by-step explanation:

The measure of the inscribed angle DEF is half the measure of its intercepted arc, that is

[tex]\frac{1}{2}[/tex] ∠ DEF = arc ED , that is

arc ED = 2 × 78° = 156°  → C

 

Option c 156 is correct.

Angle of the arc at tangent EF = 78

What is area circle?

Area of circle is given by the pie times square of radius.

Since Angle made by chord with tangent is equal to halve the angle made by cord with its radius.
So

2 ∡DEF = measure of arc ED
= 2 x 78

= 156

Thus, the measure of are ED is 156°

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James is 5'10", Emily is 5'7", Ruby is 6'0", Chad is 6'0", Russell is 5'10", and Ariel is 5'9". What is the median height of the people? A. 5'10 B. 5'9 C. 6'0 D. 5'10 and 6'10

Answers

Answer:

A 5'10

Step-by-step explanation:

You have to put the heights in order from least to greatest

5'7, 5'9, 5'10, 5'10, 6'0, 6'0

The middle number is your median. Since there is and even amount of numbers you add the two that are in the middle the divide the sum by two

5'10 + 5'10 = 11'8

11'8 ÷ 2 = 5'10

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