45,000 square feet is the largest area that can be enclosed.
What is rectangle?
The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.The largest area will always be a square.
600/4=150 feet on each side but one side is not needed
put this 150 feet not needed with the opposite 150 feet to get 300 feet
you have a rectangle 150 by 300 by 150 by the river
= 150 * 300 = 45,000 square feet
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The complete question is -
You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and the width of the plot that will maximize the area. What is the largest area that can be enclosed?
In the figure, m∠AOD=105. If m∠AOB=8x, m∠BOC=7x and m∠COD=6x, what is the value of x?
Answer:
x = 5
Step-by-step explanation:
from the diagram
∠ AOB + ∠ BOC + ∠ COD = ∠ AOD ( substitute values )
8x + 7x + 6x = 105
21x = 105 ( divide both sides by 21 )
x = 5
Answer:
5
Step-by-step explanation:
AOB+BOC+COD=AOD
6x+8x+7x=105
21x=105
x=105÷21
x=5
What number is equal to √9?
Answer:
3
Step-by-step explanation:
x =√9
x= 9½
Multiply both sides by the power of 2
x²=9½*²
x²= 9
x²=3²
x=3
25 points plus brainliest
Answer:
[tex]|4x+3|+7 < 10[/tex]
Step-by-step explanation:
When you evaluate the expression, you get [tex]-\frac{3}{2} < x < 0[/tex]
mcgraw hill determine whether each relation is a function
966500 in scientific notation
9.665 x 10^5
966500.0
Move the dot to the right 5 times
They spent $150 to rent a bounce house for 4 hours. How much is the hourly rate for the rental?
Show your work using the long division algorithm.
Answer:
$37.50
Step-by-step explanation:
in mrs. middleton's math class, there are 7 more boys than girls. if there are 29 total students in the class, how many boys are there?
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
18 boys + 11 girls = 29 students
18-11=7
what is the value of 8 4/3 ?
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf= 9.\bar{33}[/tex]
Step-by-step explanation:[tex] \bf{8 \frac{4}{3} = \frac{3 \times 8 + 4}{3} = \frac{24 + 4}{3} = \frac{28}{3} = 9. \bar{{33 }}}[/tex]
Alisa has $2.00 in change. If she has 7 quarters, what is the maximum number of dimes she can have?
Sep 16, 1:21:38 AM
(3x-26)°, then find the measure of
The measurement or the value of x in the given equation [tex](3x-26)degrees = 180degrees[/tex] is [tex]x=68.67[/tex]°
As per the question statement, we are supposed to find the measure of angle x in the given equation, [tex](3x-26)= 180[/tex]
Before solving this question, we should know that this question is an example of solving a linear equation in one variable.
[tex](3x-26)= 180\\3x=206\\x=\frac{206}{3} \\x=68.67[/tex]
Hence the measure of the angle x is x=68.67°
This question is a good example of solving a linear equation in one variable.
Linear Equation: It is an equation which when plotted on a graph forms a straight line and we solve for an unknown number called as variable.
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There are 55 stickers in each box how many stickers are in seven boxes
Answer: 385 stickers
Step-by-step explanation:
7 boxes * 55 stickers/1 box=
7 * 55/1=
7*55=385 stickers
Emma bought a salad for $4.75 and a drink for $1.65. She had $18.35 left. How much money did she have before she bought the salad and drink
Answer: The amount she started with is $24.75
Ken and Hamid run around a track.
It takes ken 80 seconds to complete one lap
It takes Hamid 60 Seconds to complete one lap
Ken and Hamid start running at the same time from the start line
How may laps will they each run when they next meet on the start line?
It is found that Ken will have run 3 laps and Hamid will have run 4 around a track.
What is prime factorization?Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities. Prime factorization is when all those factors are prime numbers.Thus, prime factorization expresses an integer in terms of multiples of prime numbers.
Prime factorization is unique for each integer.
To determine the number of seconds that will have passed when they meet again. We will use the LCM, or least common multiple, for this.
Thus the prime factorization of each number:
80 = 10(8)
10 = 5(2)
8 = 2(4)
4 = 2(2)
80 = 2(2)(2)(5)(2)
60 = 10(6)
10 = 5(2)
6 = 2(3)
60 = 2(2)(3)(5)
For the LCM,
2(2)(5)(2)(2)(3) = 240
This means every 240 sec; they will both be at the start line.
Since Ken completes a lap in 80 seconds, then he will completes
240/80 = 3 laps in 240 seconds.
Since Hamid completes a lap in 60 seconds, then he will completes 240/60 = 4 laps in 240 seconds.
Hence, It is found that Ken will have run 3 laps and Hamid will have run 4.
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consider measurements of the width w and length l of a piece of paper used to calculated the area of the paper using a
The area of the piece of paper is;
Area = length x width
⇒ a = l w unit square.
Here,
Given that;
The width of piece of paper = w
The length of piece of paper = l
We have to find the area of piece of paper by using a.
What is Area of rectangle?
The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.
Now,
Consider the shape of piece of paper is rectangular.
The width of piece of paper = w
The length of piece of paper = l
Since, we know that;
Area of rectangle = length x width
Then, The Area of piece of paper 'a' = length x width
⇒ a = l * w
Where, a = Area of rectangle, l = length of piece of paper and
w = width of rectangle.
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How many two-ninths are in eight-ninths?
Answer:
4
Step-by-step explanation:
2/9 + 2/9 + 2/9 + 2/9 = 8/9
a rectangle has a perimeter of 10 meters. choose ,begin emphasis,all,end emphasis, the possible dimensions of the rectangle.
The possible dimensions of the rectangle having a perimeter 10 are
1)length= 4 and bredth= 1
2)length= 3 and bredth= 2
The perimeter of rectangle=2( length of rectangle + breadth of rectangle)
Given that the perimeter of rectangle=10
10=2( length of rectangle + breadth of rectangle)
5=length of rectangle + breadth of rectangle
For a rectangle, length must be always greater than the breadth
The possible values of length of rectangle= 4 and 3
As a result,the Breadth of the rectangle will be 1 if length =4
As a result,the Breadth of rectangle will be 3 if length =2
Therefore, The possible dimensions of the rectangle having a perimeter 10 are
1)length= 4 and bredth= 1
2)length= 3 and bredth= 2
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PLEASE HELP!!!! IMPORTANT!!!!
a game arcade consists of a balloon that is inflated little-by-little during each round of play. The player wins when the balloon pops. The amount of air that is needed to make the balloon pop can be modeled bya. uniform distribution on the interval from 25 to 35 cubic inches of air.
X
-3
1
O
y =
= 2x+2
q
-2
b
2
C
व
use the table to work out!
a, b, c,d when
Y=2x+2
Answer:
y and x = 4 if wanted a dinner equation in one hand over least common multiple
A, B, C and D are junctions on a motorway.
A B C D
distance CD= 3 x distance AB
distance BC= 25 miles
Salma drives from A to C.
She drives for 30 minutes at an average speed of 62 miles per hour.
Work out the distance AD.
Not drawn
accurately
The distance AD is 49 miles.
As per the given values of speed and time, we will calculate the distance AC. Firstly equalising the units.
As per the known fact, 60 minutes = 1 hour
30 minutes = (1/60)×30
30 minutes = 0.5 hour
Now, speed, distance and time are related as -
Speed = distance ÷ time
Distance = speed × time
Distance = 62 × 0.5
Distance = 31 miles
So, AC = 31 miles and BC = 25 miles.
Therefore, AB = AC - BC
AB = 31 - 25
AB = 6 miles
The distance AD = AC + CD
AD = 31 + 3 × AB
AD = 31 + 3 × 6
AD = 31 + 18
AD = 49 miles
Therefore, the distance between AD is 49 miles.
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The complete question is attached.
is 7.69 x 24^8 in scientific notation
Reason:
The 24 needs to be changed to a 10 for it to be in scientific notation.
The template for scientific notation is [tex]a * 10^b[/tex] where [tex]0 \le |a| < 10[/tex]
So for example, [tex]1.23 \times 10^4[/tex] is in scientific notation.
Can anyone answer these for me?
Answer:
x=12 y=10 z=-12
Step-by-step explanation:
Caroline is driving to a concert and needs to pay for parking. there is an automatic fee of $5 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. how much total money would caroline have to pay for parking if she left her car in the lot for 3 hours? how much would caroline have to pay if she left her car in the lot for t hours?
The total money Caroline would have to pay for parking if she left her car in the lot for 3 hours is $11
For t hours the Caroline would pay 5+2t
What is algebraic expression?
Algebraic expression is a mathematical statement which points to when operations such as addition, subtraction, multiplication as well as division, are used for variables and constants, in essence, using algebraic expression, we can derive the equation that gives the total cost of Caroline driving and using the parking lot at the concert
There is a fixed charge of $5, there is also an additional $2 for every spent, if represent hours spent by t, then she would pay 2t in total for using the parking lot.
Total cost=5+2t
when t=3 hours
total cost=5+(2*3)
total cost=$11
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Simplify the following expression in Scientific Notation. (1.8x10⁹) (6.7 x 10¹²)
a x 10^b
a=?
b=?
the following expression i.e. (1.8x10⁹) (6.7 x 10¹²) in Scientific Notation is 120.6×[tex]10^{20}[/tex] and a=120.6 and b=20
Scientific notation:
Scientific notation is a method of presenting very large or very small numbers in a more simplified format. We know that whole numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper. Furthermore, the numbers found after the decimal point needed to be represented in a more straightforward manner.
(1.8x10⁹) (6.7 x 10¹²) = 120.6×[tex]10^{20}[/tex]
Given (1.8x10⁹) (6.7 x 10¹²) =a x [tex]10^{b}[/tex]
a x [tex]10^{b}[/tex]= 120.6×[tex]10^{20}[/tex]
a=120.6 and b=20
Therefore,the following expression i.e. (1.8x10⁹) (6.7 x 10¹²) in Scientific Notation is 120.6×[tex]10^{20}[/tex] and a=120.6 and b=20
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a boy throws a baseball across a field. the ball reaches its maximum height, 18 meters, after 1 second. after approximately 2.3 seconds, the ball lands on the ground. the ball’s motion can be modeled using the function f(x)
The height of the ball after 1.5 seconds is 15.5 meters so option (C) will be correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
Given the function as the height of ball f(x) and time x
f(x) = -10x² + 20x + 8
At x = 1.5
f(1.5) = -10(1.5)² + 20(1.5) + 8
f(1.5) = 15.5
Hence "The height of the ball after 1.5 seconds is 15.5 meters".
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Given question is incomplete complete question is attached below image ;
On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal at y = negative 1. Everything above the line is shaded. The second dashed line has a negative slope and goes through (negative 2, 1) and (0, 0). Everything below the line is shaded.
A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario?
Using a linear function, one constraint on the inequality is given by:
y < -0.5x.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Given two points, the slope is given by change in y divided by change in x.
For the line in the inequality, the points are:
(-2,1) and (0,0).
Hence the slope is given by:
m = (0 - 1)/(0 - (-2)) = -1/2 = -0.5.
Hence:
y = -0.5x + b.
When x = 0, y = 0, meaning that the y-intercept is of b = 0, and:
y = -0.5x.
Everything below the line is shaded, meaning that the values of y that are less than the line are shaded, and the inequality is:
y < -0.5x.
The inequality is only less, not less or equal, because the line is dashed and not solid.
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help it due in 4 mins please
Answer:
Step-by-step explanation:
draw an open circle on point -11 and a line going towards the left. Because it is less than -11 and not equal.
Point ( open circle ) on 0 going to the right because it is greater and does not including 0.
Compare square root of one hundred seventy and one hundred six eighths using <, >, or =.
square root of one hundred seventy is greater than one hundred six eighths
square root of one hundred seventy is equal to one hundred six eighths
one hundred six eighths is less than square root of one hundred seventy
one hundred six eighths is greater than square root of one hundred seventy
Square root of one hundred and seventy is greater than square root of one hundred and sixty eight.
What is a perfect square number ?A perfect square number is a number which when taken square root comes out as an integer.Every number which is not a perfect square when taken square root of it is irrational number.We can obtain square root of a perfect square number by prime factorisation method.
Given we have to compare [tex]\sqrt{170}[/tex] and [tex]\sqrt{168}[/tex].
We know that if the square roots are not given then we have easily concluded that 170 > 168.Same in the case of square root:
[tex]\sqrt{170} > \sqrt{168}[/tex].
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A 3.5 ft child casts a 60 inch shadow, the child is next to a telephone pole that casts a 50 ft shadow how tall is the telephone pole
The telephone pole is 35ft tall .
What is height?The height of any object is define as the distance measurement of that object from the top to its base. In geometry it is also called as altitude.
Height can be measured in various quantities such as feet, inches, centimeters etc.
Some of measurements are as below.
feet to inches1 feet = 12 inches
feet to centimeters1 feet = 30.48 cm
inches to centimeters1 inch = 2.54 cm
meters to feet1 feet = 3.28 feet
In the given question,
Convert 60 inches to feet ,
60 inches = 60/12 feet = 5 feet
Given, pole shadow = 50ft
child height =3.5ft
now, Set up proportion between the ratios of the child and his shadow and the telephone pole and its shadow.
[tex]\frac{child \ height}{child \ shadow \ length} =\frac{pole \ height}{pole \ shadow \ length}[/tex]
Let, x be pole height
=> [tex]\frac{3.5}{5} =\frac{x}{50}[/tex]
now solve the equation,
3.5 ×50 = x × 5
x = 35
Thus, the pole is 35 feet tall.
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2p=47−17 please help with explinations
We calculate the right side of the equation : 47 - 17 = 30
2p = 30
Divide both side by 2, we have : p/2 = 30/2 -> p = 15.
Answer:
P=15
Step-by-step explanation:
2p = 47-17
2p = 30
Divide both sides by the coefficient of p which is 30
[tex]\frac{2p}{2} =\frac{30}{2}[/tex]
P= 15