Answers
Answer:
[tex]35.33\ m^3[/tex]
Step-by-step explanation:
Given that,
Height of the cylindrical well, h = 20 m
The diameter of the well, d = 1.5 m
Radius, r = 0.75 m
We need to find the volume of the well. This will be the amount that is dug out to make a well. So,
[tex]V=\pi r^2 h\\\\V=3.14\times (0.75)^2\times 20\\\\V=35.33\ m^3[/tex]
So, [tex]35.33\ m^3[/tex] soil was dug out to make a well.
Related Questions
A farmer has 100 acres of available land that he wishes to plant with a mixture of potatoes, corn, and cabbage. It costs him $400 to produce an acre of potatoes, $160 to produce an acre of corn, and $280 to produce an acre of cabbage. He has a maximum of $20,000 to spend. He makes a profit of $120 per acre of potatoes, $40 per acre of corn, and $60 per acre of cabbage. How many acres of each crop should he plant to maximize his profit?
a. Create a chart to organize this information.
b. Write the objective function
c. Write all the constraints to the problem.
Answers
Objective (Profit) Function : 120 Po + 40 Co + 60 Ca
Constraint Functions : Po + Co + Ca = 100 (Land Constraint) ; Budget Constraint : 400 Po + 160 Co + 280 Ca = 20000
LET : Acres of land for Potato, Corn, Cabbage = Po, Co, Ca respectively.
Objective Function is the function to be minimised or maximised. Here, 'PROFIT' is to be maximised.
So, profit function is the objective function. Profit per acre potatoes, corn, cabbage = 120, 40 , 60 respectively.Constraint functions denote the other conditions to be maintained, while maximising & minimising objective profit function.
Here, Land constraint & budget constraints need to be satisfied. Total acres of land for potato, corn, cabbage = 100. Cost per acre potatoes, corn, cabbage = 400, 160, 280 respectively & total budget is 20000.To learn more, refer https://brainly.com/question/2500020?referrer=searchResults
3 √ 7 + √ 7 can someone elaborate this for me
Answers
Answer:
9.3
Step-by-step explanation:
Answer:
The answer is 4 \sqrt{7}.
Step-by-step explanation:
The formula is a\sqrt{x} + b\sqrt{x} = (a+b)\sqrt{x}, but if you don't understand it, here's an easier way to think about it.
You can think of \sqrt{7} as x (or any other variable). Now, the equation is 3x + x. If you've ever done algebra, (you probably have if square roots popped up on your homework) you know that this equals to 4x. Now, replace the x with \sqrt{7}, because we already decided that those two were equal. Therefore, the answer is
4 \sqrt{7}.
Cara's muffin recipe calls for 1 1/4 cups of flour for the muffins and 3/4 cups of flour for the topping. If she makes 1/2 of the original recipe, how much flour will she use?
Answers
Answer:
3/2 X 1/4 +1/2
Step-by-step explanation:
Try using that to work out the answer.
Which expression matches the graph
Answers
Answer:
a
Step-by-step explanation:
Game Pitches Seen
1 25
2 20
3 20
4 17
5 15
6 14
The table lists the number of pitches seen by a player in 6 games. What is the mean of the data set?
Answers
Answer:
Mean- 18.5
25+20+20+17+15+14=111
111/6=18.5
hey guys what is the factors of 8 (i need all of them)
Answers
Answer:
1,2,4,8
Step-by-step explanation:
Solve for x: 2(x + 4) + 6 = 12x - 8
Answers
Answer:
x = 2.2
Step-by-step explanation:
2(x+4)+6 = 12x-8
Use distribution property
2x+8+6 = 12x-8
Combine like terms
2x+14 = 12x-8
Subtract 14 from both sides
2x = 12x-22
Subtract 12x from both sides
-10x = -22
Divide both sides by negative 10
x = 2.2 or x = 11/5 in fractions.
Hope this helps
if 124 is subtracted from the square of a number the result is 200 what is the number
Answers
Answer:
x=18
Step-by-step explanation:
let the number =x
then
x²-124=200
x²=200+124
x²=324
x=18
Answer:
x=18
Step-by-step explanation:
number = x
x^2 - 124 = 200
x^2 = 200 +124
x^2 = 324
(square root both sides)
x = 18
Identify the graph of exponential graph
Answers
Hope it helps
Nandini uses a code to open a security door.
The code is a letter followed by a 2-digit number.
The letter is Por Q.
The number is a prime number between 30 and 40
Write down all the possibilities for Nandini's code.
Can someone plz help me
Answers
Answer:
35 is a prime number between 30 and 40
PLEASE HELP(Mainly 15 & 16) I can give BRAINLIEST!!!
Answers
Answer: sorry I don't get it but the answer for 16 is B sorry
Step-by-step explanation:
What do they teach you they are weird t doesn't make any sense
beti ate 1/8 of the cake.nati had 2 smaller pieces.she ate 2/16 of the cake.who ate more cake? what fraction of the cake left?
Answers
Answer:
Both ate the same amount of cake, there will be 6/8 or 3/4ths of the cake left.
Step-by-step explanation:
2/16 is equivalent to 1/8. Therefore they ate the same amount of cake.
Answer:
they ate the same amount 1/8 and 2/16 are the same thing.3/4
Step-by-step explanation:
they both ate 1/8 so 8/8-2/8=6/8=3/4 of the cake left
Susan gets a home loan of $300,000 at a rate of 6.8% compounded monthly for 30 years. What is her monthly payment?
Answers
Answer:
$1,955.86
Step-by-step explanation:
We have to use the MS Excel to solve this question
PV = -300000
FV = 0
I = 6.8%/12 = 0.5667%
N = 30*12 = 360
Monthly payment = PMT(-PV, FV, I, N)
Monthly payment = PMT(-300,000, 0, 0.5667%, 360)
Monthly payment = $1955.8555499
Monthly payment = $1,955.86
So, her monthly payment is $1,955.86.
Find the length of side x in simplest radical form with a rational denominator.
Answers
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
The given triangle is a right angled triangle,
therefore, by using trigonometry :
[tex] \boxed{ \cos(45) = \frac{6}{x} }[/tex]
[tex] \frac{1}{ \sqrt{2} } = \frac{6}{x} [/tex][tex]x = 6 \sqrt{2} [/tex][tex]x = 8.485 \: \: units[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Help pleaseeeeeeeeeeee
Answers
A piece of machinery depreciates $7000 the first year, $6800 the second year, and $6600 the third year. If the rate of depreciation is constant, what is the amount of depreciation of the piece of machinery in the sixth year?
Answers
Answer:
$6000
Step-by-step explanation:
hope it helps correct me if i am wrong
calculate: 3^10 * 30^18 / 9^13 * 8^6 * 0.04^-9
Answers
Answer:
9e+36
Step-by-step explanation:
ㄒɦĄŊĸ ĦØφĒ ĮŤ ɧėŁP ♡✧♡
What is 840 increased by 20%
Answers
Answer:
1,008
Step-by-step explanation:
have a nice day
Answer:
1008
Step-by-step explanation:
1. [tex]840.\frac{20}{100}[/tex]
2. 168
3. 840 + 168 -> 1008
Convert the angle - 3 radians to degrees, rounding to the nearest 10th
Answers
Answer:
171.9 degrees.
Step-by-step explanation:
The factor is 180/π.
So 3 radians = (3*180)/π
= 171.9 degrees.
A car manufacturing plant assembles 26 cars with 7 having bad brakes. A random inspection reviews 4 cars' brakes. What is the probability that all the cars chosen have good brakes
Answers
Answer:
p = 0.259264214
Step-by-step explanation:
26 - 7 = 19 with good brakes
Probability of picking 4 with good brakes
p = 19/26 * 18/25 * 17/24 * 16/23
p = 0.259264214
The probability that all the randomly chosen cars have good brakes is approximately 0.169 or 16.9%.
To calculate the probability that all the randomly chosen cars have good brakes, we need to consider the number of cars with good brakes and the total number of cars.
Total number of cars assembled: 26
Number of cars with bad brakes: 7
To calculate the probability, we can use the concept of combinations.
The number of ways to select 4 cars out of the remaining 26-7 = 19 cars with good brakes is given by the combination formula:
C(n, r) = n! / (r! * (n-r)!)
where n is the total number of cars with good brakes and r is the number of cars to be randomly selected.
In this case, n = 19 and r = 4.
The total number of ways to select 4 cars from the total pool of 26 cars is given by the combination formula:
C(26, 4) = 26! / (4! * (26-4)!)
Now, we calculate the probability that all the randomly chosen cars have good brakes:
Probability = (Number of favorable outcomes) / (Number of total outcomes)
Number of favorable outcomes = C(19, 4)
Number of total outcomes = C(26, 4)
Probability = C(19, 4) / C(26, 4)
Using a calculator, we can compute these combinations and evaluate the probability:
Probability ≈ 0.169
Therefore, the probability that all the randomly chosen cars have good brakes is approximately 0.169 or 16.9%.
To know more about probability click here :
https://brainly.com/question/28417020
#SPJ2
PLS HELP ASAP I WIL MARK BRAINLIEST
Answers
Answer:
[tex]x=80^{\circ},\\y=80^{\circ}[/tex]
Step-by-step explanation:
The measure of an angle formed by a secant and a tangent outside of a circle is half of the absolute difference between the two arcs it forms. Therefore, we have the following equation:
[tex]m\angle A=\frac{\widehat{BC}-\widehat{BD}}{2}[/tex]
Substituting given values, we get:
[tex]20=\frac{120-x}{2},\\40=120-x,\\x=\boxed{80^{\circ}}[/tex]
Since there are 360 degrees in a circle, we can write the following equation, using [tex]x[/tex], to solve for [tex]\widehat{DC}[/tex]:
[tex]x+\widehat{DC}+120=360,\\80+\widehat{DC}+120=360,\\\widehat{DC}=\boxed{160^{\circ}}[/tex]
The value of the angle formed by a chord and a tangent is half the measure of the arc it forms. Therefore,
[tex]y=\frac{\widehat{DC}}{2}=\frac{160}{2}=\boxed{80^{\circ}}[/tex]
What is the slope of the line?
Answers
Answer:
The slope of a line characterizes the direction of a line.
Step-by-step explanation:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Answer:
-2
Step-by-step explanation:
Anybody know how to do this
It’s a yes or no ?
Answers
Answer:
what's the full question
What is the area of the shaded region? Use 3.14 for it and round your answer to the nearest tenth opinions:12.6 cm2 6 cm 50.2 cm 78.5 cm 10 cm 201.0 cm
Answers
Someone please answer I need help on this one to
Evan has 8 dollars. The price of farro is 3 dollars per pound.
Move values to the boxes to create an equation that can be used to solve for f, the number of pounds of farro Evan can buy.
3
5
8
11
24
Answers
Answer:
24
Step-by-step explanation:
8x3=24
!!!!!MAJOR HELP!!!!!
!!!!!I will give Brainy!!!!!
The function Y equals 5X is graft in coordinate plane. Which point will not be on the line?
A.(0,5)
B.(3,15)
C.(4,4,22)
D,(5,25)
If no idea then look at image
Answers
Answer: its b or c try one then the other
Step-by-step explanation:
answer this please and thanksss
Answers
Answer:
x^2+4x-21
Step-by-step explanation:
hope it helps
Answer:
Option D, x² + 4x - 21
Step-by-step explanation:
Using FOIL;
x * x = x²
x * (-3) = -3x
7 * x = 7x
7 * (-3) = -21
Therefore; x² + (-3x) + 7x - 21
=> If simplified:
=> x² + 4x - 21
Hope this helps!
Let f(x)= x^2+1. Find and simplify the following:
(a) f(x-4)=
(b) f(x-4)-f(-4)
Answers
Answer:
f(x-4) = x²-8x + 17
f(x-4)-f(-4) = x²-8x
Step-by-step explanation:
Given the function:
f(x) = x^2+1
f(x-4) = (x-4)^2+1
f(x-4 ) = x² - 8x + 16 + 1
f(x-4) = x²-8x + 17
For f(x-4)-f(-4)
f(-4) = (-4)²+1
f(-4) = 16+1
f(-4) = 17
f(x-4)-f(-4) = x²-8x + 17 - 17
f(x-4)-f(-4) = x²-8x
Giving Brainliest!
Explain the difference between low and high-frequency waves
Answers
Answer:
Frequency refers to the number of waves that pass a given point in a given time period and is often expressed in terms of hertz (Hz), or cycles per second. Longer wavelengths will have lower frequencies, and shorter wavelengths will have higher frequencies
Complete the assignment on a separate sheet of paper
Please attach pictures of your work.
Answers
Answer:
TO FIND :-
Length of all missing sides.FORMULAES TO KNOW BEFORE SOLVING :-
[tex]\sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}[/tex][tex]\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}[/tex][tex]\tan \theta = \frac{Side \: opposite \: to \: \theta}{Side \: adjacent \: to \: \theta}[/tex]SOLUTION :-
1) θ = 16°
Length of side opposite to θ = 7
Hypotenuse = x
[tex]=> \sin 16 = \frac{7}{x}[/tex]
[tex]=> \frac{7}{x} = 0.27563......[/tex]
[tex]=> x = \frac{7}{0.27563....} = 25.39568.....[/tex] ≈ 25.3
2) θ = 29°
Length of side opposite to θ = 6
Hypotenuse = x
[tex]=> \sin 29 = \frac{6}{x}[/tex]
[tex]=> \frac{6}{x} = 0.48480......[/tex]
[tex]=> x = \frac{6}{0.48480....} = 12.37599.....[/tex] ≈ 12.3
3) θ = 30°
Length of side opposite to θ = x
Hypotenuse = 11
[tex]=> \sin 30 = \frac{x}{11}[/tex]
[tex]=> \frac{x}{11} = 0.5[/tex]
[tex]=> x = 0.5 \times 11 = 5.5[/tex]
4) θ = 43°
Length of side adjacent to θ = x
Hypotenuse = 12
[tex]=> \cos 43 = \frac{x}{12}[/tex]
[tex]=> \frac{x}{12} = 0.73135......[/tex]
[tex]=> x = 12 \times 0.73135.... = 8.77624....[/tex] ≈ 8.8
5) θ = 55°
Length of side adjacent to θ = x
Hypotenuse = 6
[tex]=> \cos 55 = \frac{x}{6}[/tex]
[tex]=> \frac{x}{6} = 0.57357......[/tex]
[tex]=> x = 6 \times 0.57357.... = 3.44145....[/tex] ≈ 3.4
6) θ = 73°
Length of side adjacent to θ = 8
Hypotenuse = x
[tex]=> \cos 73 = \frac{8}{x}[/tex]
[tex]=> \frac{8}{x} = 0.29237......[/tex]
[tex]=> x = \frac{8}{0.29237.....} = 27.36242.....[/tex] ≈ 27.3
7) θ = 69°
Length of side opposite to θ = 12
Length of side adjacent to θ = x
[tex]=> \tan 69 = \frac{12}{x}[/tex]
[tex]=> \frac{12}{x} = 2.60508......[/tex]
[tex]=> x = \frac{12}{2.60508....} = 4.60636....[/tex] ≈ 4.6
8) θ = 20°
Length of side opposite to θ = 11
Length of side adjacent to θ = x
[tex]=> \tan 20 = \frac{11}{x}[/tex]
[tex]=> \frac{11}{x} = 0.36397......[/tex]
[tex]=> x = \frac{11}{0.36397....} =30.22225....[/tex] ≈ 30.2