Zachary is putting a circular fish pond into his garden. The fish pond will have a radius of 5 feet. How many square feet of the garden area will remain after the fish pond is completed? Express your answer to the nearest tenth
Answers
Square feet of the garden area which will remain after the fish pond is completed is 521.5ft².
First, we need to calculate the area of the garden and the area of the fish pond. The area of the garden which is a rectangle l x w where l is the length and w is the width, hence it is 30ft x 20ft = 600ft².
The area of the fish pond is πr² = π(5ft)² = 78.5ft² (rounded to the nearest tenth).
Next, we need to subtract the area of the fish pond from the area of the garden to find the remaining area of the garden.
600ft² - 78.5ft² = 521.5ft²
Therefore, after the fish pond is completed, there will be 521.5ft² of the garden area remaining.
Note: The question is incomplete. The complete question probably is: Zachary is putting a circular fish pond into his garden which measures 30ft by 20ft. The fish pond will have a radius of 5 feet. How many square feet of the garden area will remain after the fish pond is completed? Express your answer to the nearest tenth.
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Related Questions
You have an ant farm with 23 ants. The population of ants in your farm will double every 3 months. The table shows the population growth of the ants over nine months. Decide whether the table represents a linear function or a nonlinear function. After one year, how many ants will there be in the ant farm?
Answers
The table shows the nonlinear function and after one year, there will be 23,552 ants in the ant farm.
The table shows the population growth of the ants over time, where the population doubles every 3 months. This means that the rate of growth is not constant, but rather increases over time. Therefore, the table represents a nonlinear function.
To find the population after one year (12 months), we can use the table to find the population after 9 months and then double it three times, since the population doubles every 3 months. According to the table, the population after 9 months is 368 ants. Doubling this population once gives 736 ants after 12 months. Doubling it twice gives 1,472 ants after 15 months, and doubling it a third time gives 2,944 ants after 18 months. Finally, doubling it a fourth time gives 5,888 ants after 21 months. Since the population doubles every 3 months, there will be two more doublings in the final 12 months. Doubling 5,888 ants twice gives:
5,888 x 2 x 2 = 23,552
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x-½y=0 ½x- 0 ½z=-1 3x-y -z =-2
Answers
She plans to increase her distance by 6.9 percent each day. How far will she have run in total after 16 days if she runs 4.8 kilometers on the first day? Round your answer to the nearest whole number.
Answers
Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.
To find out how far she will have run in total after 16 days, we can use the formula for calculating compound interest:
A = P(1 + r/100)^n
Where:
A = Total distance run after n days
P = Initial distance (4.8 kilometers)
r = Rate of increase per day (6.9%)
n = Number of days (16)
Plugging in the given values, we can calculate the total distance:
A = 4.8(1 + 6.9/100)^16
Using a calculator or performing the calculations step by step, we get:
A ≈ 4.8(1.069)^16 ≈ 4.8(2.092473)^16 ≈ 4.8(2.628)
A ≈ 12.6144
Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.
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I need x and GH there is two answer to this!! Please help
Answers
Answer:
15
Step-by-step explanation:
9x - 3 = \(\frac{(5x + 1) +19}{2}\)
2(9x - 3) = 5x + 1 + 19
18x - 6 = 5x + 20
13x = 26
x = 2
GH = 9(2) - 3 = 15
Your Turn Given the slope 8 and y-intercept 2 write the
equation of the line.
y =
Answers
Answer:
y = 8x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 8 and c = 2 , thus
y = 8x + 2 ← equation of line
The number for slope always has a x following it and the y intercept is 2 and because its a positive 2 , you add the 2.
Jason runs at a pace of 7 miles per hour and his friend runs at a pace represented by
the equation y = 6x where y is distance in miles and x is time in hours. Who runs
faster?
Answers
Answer:
Jason runs faster then his friend.
Step-by-step explanation:
Jason's speed is represented by the equation y = 7x because he runs 7 miles in an hour. If his friend's speed is represented by y = 6x, then his friend runs a total of 6 miles in an hour.
Please help me answer this question and can you answer it just like the paper so I can understand it better
Answers
Statement Problem (2): Elijah is trying to find the midpoint of the segment joining 8+4i and
Find the area of the shape below
Answers
Answer:
I got 58, I hope the picture helped
what is the name of the relationship between ∠1 and ∠4?
Answers
Pls help ASAP! 20pts! What is the value of sin N? What is the value of x to the nearest tenth? What is the value of x to the nearest degree?
Answers
Answer:
1.
\(C.\\sin(N)=\frac{\sqrt{3} }{2}\)
2.
\(x=82.1\)
3.
x = 18°
Step-by-step explanation:
1. The sine ratio is sin(θ) = opposite/hypotenuse, where θ is the reference angle. When N is the reference angle, we see that side OP with a measure of 5√3 units is the opposite side and side NP with a measure of 10 units is the hypotenuse.
Thus, we can find plug everything into the sine ratio and simplify:
\(sin(N)=\frac{5\sqrt{3} }{10} \\\\sin(N)=\frac{\sqrt{3} }{2}\)
2. We can use the tangent ratio to solve for x, which is tan (θ) = opposite/adjacent. If we allow the 75° to be our reference angle, we see that the side measuring x units is the opposite side and the side measuring 22 units is the adjacent side. Thus, we can plug everything into the ratio and solve for x or the measure of the opposite side:
\(tan(75)=\frac{x}{22}\\ \\22*tan(75)=x\\\\82.10511777=x\\\\82.1=x\)
3. Since we're now solving for an angle, we must using inverse trigonometry. We can use the inverse of the tangent ratio, whose equation is tan^-1 (opposite/adjacent) = θ. We see that when the x° is the reference angle, the side measuring 11 units is the opposite and the side measuring 33 units is the adjacent side. Now we can do the inverse trig to find the measure of x:
\(tan^-^1(\frac{11}{33})=x\\ 18.43494882=x\\18=x\)
\(\boxed{\sf 2x+31=5}\)
Answers
2x + 31 = 5
2x = 5 - 31
2x = -26
x = -26/2
x = -13.
_______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
\( \sf \: 2x + 31 = 5\)
\(\sf \longmapsto \: 2x = 5 - 31\)
\(\sf \longmapsto \: 2x = -26\)
\(\sf \longmapsto{x }= \frac{ - 26}{2} \)
\(\sf \longmapsto \: x = - 13\)
\( \boxed{\sf - 13}\)
Adam's teacher gave him 15 pages of homework. if he completed 1 page of homework in 2 hours, how much hours will it take him to complete all of his homework?
Answers
15-1=14
14 / 2hours= 7
Harlan is building a fence. After he sets the corner post, he uses 2 eight-foot posts, 4 braces, and 48 feet of paneling for every 12 feet of fence. Harlan needs to build 60 feet of fence today and he has 208 feet of paneling. How many more feet of paneling does he need?
Answers
. Kyle is 24 years older than his daughter Hannah. Kyle is 48 years old. How old is Hannah?
Answers
Answer:
Hannah is 24years of age
Drag each number to the correct location on the table.
Classify each number according to its value.
3.2 x 105
1.9 x 101
2.2 x 10
2.4 x 10°
5.9 x 102
6.1 x 10
2.5 x 104
Greater than 2.4 x 104
Between 1.2 x 102
and 2.4 x 104
Less than 1.2 x 102
Answers
Answer:
3.2 x 10^5 goes in greater than 2.4 x 10^4
1.9 x 10^-1 goes in less than 1.2 x 10^2
2.2 x 10 goes in less than 1.2 x 10^2
2.4 x 10^3 goes in between 1.2 x 10^2 and 2.4 x 10^4
5.9 x 10^2 goes in between 1.2 x 10^2 and 2.4 x 10^4
6.1 x 10 goes in less than 1.2 x 10^2
2.5 x 10^4 goes in greater than 2.4 x 10^4
Step-by-step explanation:
First let's find out what 2.4 x 10^4 and 1.2 x 10^2 is.
2.4 x 10^4 = 24000
1.2 x 10^2 = 120
3.2 x 10^5 is obviously greater than 2.4 x 10^4 because the exponent of ten in 3.2 x 10^5 is one more value than the exponent in 2.4 x 10^4. The decimal is also greater.
1.9 x 10^-1 = .19, which is less than 1.2 x 10^2
2.2 x 10 = 22, less than 1.2 x 10^2
2.4 x 10^3 = 2400, in between 1.2 x 10^2 and 2.4 x 10^4
5.9 x 10^2 = 590, in between 1.2 x 10^2 and 2.4 x 10^4
6.1 x 10 = 61, less than 1.2 x 10^2
2.5 x 10^4 we can solve without doing the math, 2.5 is greater than 2.4 meaning the product will be greater, to check I did the math 2.5 x 10^4 = 25000, greater than 2.4 x 10^4
P.S Next time right ^ before the exponents, so we know they are exponents
(I will give Brainliest and 100 points!!!)
James bought 4 tubes of paint to use for an art project. He paid the same amount for each tube, and he spent less than $20 in all. Solve for the cost of tube of paint.
(You have to write it with inequalities, not an equal sign.)
Joseph must sell more than 20 ice cream cones in order to make a profit. He has already sold 6 cones. How many cones must Joseph still sell?
(You have to write it in inequalities, not an equal sign. For example, NOT 2=25, but like THIS: 2<25)
Answers
Answer: Problem 1: x<$5
Problem 2: 6 + c ≥ 20
Step-by-step explanation:
number of tubes=4
total=<$20
4(x)<$20
x<$20/4
x<$5
number of ice cream cones needed to make profit=20
number of ice cream cones sold so far= 6
how many left?= c
6 + c ≥ 20
I am not a professional, simply using prior knowledge.
What is the missing number for each fraction? 12 25 40
Answers
The Missing number for each fraction is ---
a) 3/7 = 12/28
b)5/8 = 25/40
c)3/4 =12/16
d)7/3 = 14/6
Fraction:
A fraction (from Latin: fracturs, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction (examples {1}/{2}} and ) consists of a numerator, displayed above a line (or before a slash like 1⁄2), and a non-zero denominator, displayed below (or after) that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.
Given that
a) \(\frac{3}{7}\) = 12/_
let x
3/7 = 12/x
3x = 84
x = 28
3/7 = 12/28
b) x/8 = 25/40
40x = 200
x = 5
5/8 = 25/40
c)3/4 = x/16
4x =48
x =12
3/4 =12/16
d)7/x = 14/6
42 = 14x
x = 3
7/3 = 14/6
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Angie is testing her science fair project, an erupting model volcano. In her first trial, she uses 3 drops of red coloring and 5 drops of yellow coloring for the lava. In her second trial, she uses 4 drops of red coloring and 8 drops of yellow coloring. Which trial had a lower ratio of red coloring to yellow coloring?
Answers
Given :
Angie is testing her science fair project, an erupting model volcano.
In her first trial, she uses 3 drops of red colouring and 5 drops of yellow colouring for the lava.
In her second trial, she uses 4 drops of red colouring and 8 drops of yellow colouring.
To Find :
Which trial had a lower ratio of red colouring to yellow colouring.
Solution :
Ratio at first trial :
\(R_1=\dfrac{3}{5}\\\\R_1=0.6\)
Ratio at second trial :
\(R_2=\dfrac{4}{8}\\\\R_2=0.5\)
Therefore, second trial had a lower ratio of red colouring to yellow colouring.
Hence, this is the required solution.
Answer:
Step-by-step explanation:
The second trial has lower ratio
Gebhardt Electronics produces a wide variety of transformers that it sells directly to manufacturers of electronics equipment. For one component used in several models of its transformers, Gebhardt uses a 3-foot length of. 20 mm diameter solid wire made of pure Oxygen-Free Electronic (OFE) copper. A flaw in the wire reduces its conductivity and increases the likelihood it will break, and this critical component is difficult to reach and repair after a transformer has been constructed. Therefore, Gebhardt wants to use primarily flawless lengths of wire in making this component. The company is willing to accept n more than a l in 20 chance that a 3-foot length taken from a spool will be flawless. Gebhardt also occasionally uses smaller pieces of the same wire in the manufacture of other compo- nents, so the 3-foot segments to be used for this component are essentially taken randomly from a long spool of. 20 mm diameter solid OFE copper wire Gebhardt is now considering a new supplier for copper wire. This supplier claims that its spools of. 20 mm diameter solid OFE copper wire average 50 inches between flaws. Gebhardt now must determine whether the new supply will be satisfactory if the supplier's claim is valid. Managerial Report In making this assessment for Gebhardt Electronics, consider the following three questions:
1. If the new supplier does provide spools of. 20 mm solid OFE copper wire that aver age 50 inches between flaws, how is the length of wire between two consecutive flaws distributed?
2. Using the probability distribution you identified in (I), what is the probability that Gebhardt's criteria will be met (i. E. , a l in 20 chance that a randomly selected 3-foot segment of wire provided by the new supplier will be flawless)
3. In inches, what is the minimum mean length between consecutive flaws that would result in satisfaction of Gebhardt's criteria
4. In inches, what is the minimum mean length between consecutive flaws that would result in a l in 100 chance that a randomly selected 3-foot segment of wire provided by the new supplier will be flawless?
Answers
we need to determine the minimum mean length between consecutive flaws that would result in a 1 in 100 chance that a randomly selected 3-foot segment of wire provided by the new supplier will be flawless.
First, we need to convert the length of the wire provided by the new supplier (50 inches) into feet, which is 4.17 feet (50 inches divided by 12).
Next, we can use the Poisson distribution formula to calculate the probability of getting at least one flaw in a 3-foot segment of wire:
P(X >= 1) = 1 - e^(-λ)
Where X is the number of flaws in a 3-foot segment, and λ is the mean number of flaws per 3-foot segment.
Since the supplier claims that the average length between flaws is 4.17 feet, we can calculate λ as:
λ = 1/4.17 = 0.239
Now, we can plug in the values and solve for the probability:
P(X >= 1) = 1 - e^(-0.239) = 0.208
This means that there is a 20.8% chance of getting at least one flaw in a 3-foot segment of wire provided by the new supplier.
To find the minimum mean length between consecutive flaws that would result in a 1 in 100 (or 0.01) chance of getting a flawless 3-foot segment, we can rearrange the Poisson formula:
P(X = 0) = e^(-λ)
0.01 = e^(-λ)
ln(0.01) = -λ
λ = 4.605
This means that the mean length between consecutive flaws would need to be at least 4.605 feet (55.26 inches) in order to have a 1 in 100 chance of getting a flawless 3-foot segment from the new supplier.
In conclusion, if the new supplier's claim is valid and the mean length between consecutive flaws is at least 55.26 inches, then Gebhardt Electronics can expect to get a flawless 3-foot segment of wire with a 1 in 100 probability.
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The markup for both swing sets is 2014% . The school decides to buy the Adventurers swing set. What is the selling price of the swing set they are buying? Round to the nearest cent if necessary.
Answers
If the markup for both swing sets is 20 1/4% . The school decides to buy the Adventurers swing set. The selling price of the swing set they are buying is: $3,674.84.
What is selling price?Selling price can be defined as the amount a person intend to sell his/her product or the amount a buyer intend to buy a product.
Given data:
Adventurers selling price = $3056
Thunder Ridge = 4,125
Markup 20 1/4% = 20.25 %
First step is to find markup
Markup = 20.25% × 3056
Markup = $618.84
Now let find the selling price of the swing
Selling price = $3056 + $618.84
Selling price = $3,674.84
Therefore the selling price is the amount of $3,674.84.
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The complete question is:
An elementary school wants to purchase a new swing set. The table shows the selling price of the swing sets they are interested in buying
Swing Set
Wholesale Price ($)
Adventurers 3,056
Thunder Ridge 4,125
The markup for both swing sets is 20 1/4%. The school decides to buy the Adventurers swing set. What is the selling price of the swing set they
are buying? Round to the nearest cent if necessary,
3. Omar ran the 40-yard dash in 9.846 seconds.
What is Omar's, time rounded to the nearest
hundredth of a second?
second?
Answer:
Answers
Omar's time rounded to the nearest hundredth of a second is equal to 9.85 seconds.
What is a place value?In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Generally speaking, the place value of the digit "4" is hundredth and as such, we would round it up to 5 because it is followed by the number 6:
Time = 9.846 ≈ 9.85 seconds.
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DONT GUESS BROOOO THANKS BOO MWAHHH
Answers
The inequality on the graph represents (a) h ≥ 1
How to determine what the inequality on the graph representsFrom the question, we have the following parameters that can be used in our computation:
The graph or a number line
On the number line, we have the following representations:
Number starts from 1The circle on 1 is a closed circleThe arrow points to the rightUsing the above as a guide, we have the following:
The circle on 1 is a closed circle: This represents less than or equal to OR greater than or equal toThe arrow points to the right: This represents greater than or equal toSo, we have the following representation
h ≥ 1
Hence, the inequality is (a) h ≥ 1
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Pill bluethooth Speaker conit two emiphere and cyclinder. The diameter of the cylinder and emiphere i 2 inche. The height of the cylinder i a foot. The According to the Statement pleae fill in the blank. Pleae anwer the following in inch format and round it to
Answers
The Volume of the Bluetooth speaker is 0.36cm³
The capacity of the Bluetooth speaker = Volume of both the hemispherical parts + Volume of the cylindrical part
Given that,
The volume of a hemisphere of radius 'r' = 2/3πr³
The volume of a cylindrical = πr²h where r is
the radius of the base of the cylinder and h is the height.
The hemisphere and the cylinder will have the same radius r =0.25cm
Since the total length of the toy is 2 cm, the length of the conical part
will be 2−0.25−0.25=1.5cm
Hence, the Volume of the bluetooth speaker =2×( 2/3*22/7 *0.25³) + (22/7 *0.25²*1.5) = 0.36cm³
Correct question: A BlueTooth speaker is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of the entire capsule is 2 cm The capacity of the Bluetooth speaker is?
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The volume of a cube is 8 ft^3. What is the length of each edge of the cube?
Answers
Given the volume of the cube, the length of each edge of the cube is approximately 2.62ft.
What is the length of each edge of the cube?The volume of a cube is expressed as;
V = a³
Where a is the length of the edges.
Given the data in the question;
Volume of the cube V = 8ft³Length of its edge a = ?We substitute the given value into the equation above.
V = a³
18ft³ = a³
Take the cube root of both sides.
a = ∛(18ft³)
a = 2.62ft
Given the volume of the cube, the length of each edge of the cube is approximately 2.62ft.
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35PTS if u can solve!!!
What is the value for y?
Answers
Answer:
y=14
x=25
Step-by-step explanation:
Hurryyy Plzzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
F.) Not enough information.
Answers
-3(y + 4) + 4 (2y - 2) simplify
Answers
Answer:
7y-20
Step-by-step explanation:
-3y-12+8y-8
7y-20
Answer:
5y - 20
Step-by-step explanation:
Simplify the expression.Remove the parenthesis by multiplying each term of (y+ 4) by (-3) and multiplying each term of (2y - 2) by 4
-3(y + 4) + 4(2y - 2) = (-3)*y + (-3)*4 + 4*2y - 2*4
= -3y - 12 + 8y - 8
= -3y + 8y -12 - 8
Combine like terms (-3y & 8y) and constants (-12 & -8).
= 5y - 20
Which equation can be used to find the value of x?
Answers
Answer:
\(x=5.24\tan 41^{\circ}\)
Step-by-step explanation:
\(\tan 41^{\circ}=\frac{x}{5.24} \\ \\ x=5.24\tan 41^{\circ}\)
You are considering purchasing a consol that promises annual payments of $4. a. If the current interest rate is 3 percent, what is the price of the consol? Instructions: Round your answer to the nearest penny (2 decimal places). The price of the consol is $ b. You are concerned that the interest rate may rise to 4 percent. Compute the percentage change in the price of the consol and the percentage change in the interest rate. Compare them. Instructions: Round your answer for dollar amounts to the nearest penny (2 decimal places ) and answers for percentages to the nearest tenth (1 decimal place) The new price of the consol would be $ The price of the consol falls by 7% and the interest rises by 7% c. Your investment horizon is one year. You purchase the consol when the interest rate is 5 percent and sell it a year later, following a rise in the interest rate to 6 percent. What is your holding period return? Instructions: Round your answer to the nearest tenth (1 decimal place) Your holding period return is %
Answers
a. The price of the consol is approximately $133.33.
b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.
c. Your holding period return is approximately -49.99%.
a. The price of the consol can be calculated using the formula for the present value of a perpetuity:
Price = Annual Payment / Interest Rate
In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:
Price = $4 / 0.03 ≈ $133.33
Therefore, the price of the consol is approximately $133.33.
b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:
New Price = Annual Payment / New Interest Rate
Substituting the values, we get:
New Price = $4 / 0.04 = $100
The percentage change in the price of the consol can be calculated using the formula:
Percentage Change = (New Price - Old Price) / Old Price * 100
Substituting the values, we have:
Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%
The percentage change in the interest rate is simply the difference between the old and new interest rates:
Percentage Change in Interest Rate = (4% - 3%) = 1%
Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.
c. The holding period return can be calculated using the formula:
Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100
The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:
Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67
Substituting the values into the holding period return formula:
Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%
Therefore, the holding period return is approximately -49.99%.
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A quantity with an initial value of 6900 grows exponentially at a rate
of 40% every 8 hours. What is the value of the quantity after 2.75
days, to the nearest hundredth?
Answers
Answer:
Step-by-step explanation:
2.75 days * (24 hours)/day = 66 hours
6900(1.40)^(66/8) = 119,765.72
Answer:
110765.72
Step-by-step explanation: