Find the perimeter of the rectangle, in feet.
L: 3 1/4 FT
W: 7/8 FT
Answers:
A. 8 1/4 ft
B: 8 1/5 ft
C: 8 1/2 ft
D: 8 1/3 ft
Answers
The perimeter of the rectangle is 8 1/4 feet. the correct answer is A.
Perimeter is the total length of the sides of a two-dimensional shape. In a rectangle, opposite sides are equal in length, so the perimeter can be found by adding the lengths of all four sides. To find the perimeter of a rectangle, we use the formula:
Perimeter = 2(length + width)
In this case, the length is given as 3 1/4 feet and the width is given as 7/8 feet. To find the perimeter, we substitute these values into the formula:
Perimeter = 2(3 1/4 + 7/8)
To simplify, we need to convert the mixed number to an improper fraction and find a common denominator for the fractions:
Perimeter = 2(13/4 + 7/8)
Perimeter = 2(26/8 + 7/8)
Perimeter = 2(33/8)
Now we can simplify the expression by multiplying 2 by the fraction:
Perimeter = 66/8
We can reduce this fraction by dividing both the numerator and denominator by 2:
Perimeter = 33/4
Therefore, the perimeter of the rectangle is 8 1/4 feet, which is answer choice A.
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Related Questions
The specific solution of a state space equation is given below. Express the solution Q terms of sines and cosines using the Euler representation of the complex exponential. []=0.3 je¹ -0.3 je [¹] You calculated that Q=q1scos (1) +916sin(t) 9. Two swings are hanging from a 3 meter rectangular wood beam embedded at both ends. Swing 1 is attached at x = 1 m and swing 2 is attached at x = 2m. The person on swing 1 applies a point force of A Newton and the person on swing 2 applies a point force of B newton downwards. The differential equation is y'=A8(x-1) + B8(x-2) with the four boundary EI conditions y(0) = 0 and y'(0) = 0 y''(0) = P and y'(0) = Q. Determine the deflection of the beam as a function of x in terms of A, B, E.I.P and Q using the Laplace transform. Express your solution as a piecewise function. 9.1 Applying the Laplace transform, will result in the expression for L{y} term I term 2 term 3 term 4 P ILI A 1 L{y} 1 B + -e9183 e20 (s**) (597) EI (**) EI (¹9) 9.2 Term 1 can be expressed as L{P 921t¹"} 9.3 Term 4 can be expressed as L L{B922 (1-923) ¹24 H(1-*)}
Answers
The deflection of the beam as a function of x, in terms of A, B, E.I., P, and Q, can be expressed as a piecewise function using the Laplace transform.
To determine the deflection of the beam, we start by applying the Laplace transform to the given differential equation y' = A8(x-1) + B8(x-2) with the boundary conditions. By applying the Laplace transform, we obtain the expression for L{y} in terms of the Laplace variables s, E.I., A, B, P, and Q.
The expression can be divided into four terms: term 1, term 2, term 3, and term 4. Term 1 can be expressed as L{P} * 9t^(-1), where L{P} represents the Laplace transform of P. Term 2 is expressed as A / (s^2 * E.I.). Term 3 is expressed as B / (s^2 * E.I.) * (1 - e^(-s)). Term 4 is expressed as L{B} * 9^2 * (1 - e^(-s)) / (s^2 * E.I.) * H(1 - s), where L{B} represents the Laplace transform of B and H(1 - s) is the Heaviside step function.
By combining these terms, we obtain the piecewise function representing the deflection of the beam as a function of x. Each term contributes to the overall deflection based on the given conditions and variables.
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2.
Three types of coffee beans, A, B and C, are blended in the ratio 3: 5:7 to make a bag of coffee powder.
Given that the bag contains 45 kg of coffee powder, find the mass of each type of coffee beans in the
mixture.
(ii) If A costs $7 per kg. B costs $10 per kg and C costs $13 per kg, find the cost per kg of the mixture.
Answers
Answer: The mass of each coffee bean is
A- 9 kg
B - 15 kg
C - 21 kg
The cost per kg of the mixture is 10.8$
Step-by-step explanation:
The ratio given for the three types of coffee beans is 3:5:7 so we have 3x, 5x, and 7x respectively.
3x + 5x + 7x = 45 kg
15x = 45
x = 3
Therefore as we got the value of x we can multiply with their suitable ratios
3 X 3 = 9 kg (A)
5 X 3 = 15kg (B)
7 X 3 = 21kg (C)
For the second part,
As A costs 7$ per kg and we have 9 of it multiplied and we get 63 $
Similarly, performing for B and C we get 150$ and 273$ respectively.
As we got these prices for a total of 45 kg but we need the price per kg to divide the total sum by 45 and we get 10.8 $.
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Answer:
total ratio is 3+5+7 = 15
bag A = 3/15 * 45 = 9 kg
bag B = 5/15 * 45 = 15 kg
bag C = 7/15 * 45 = 21 kg
ii) bag A = $7 per kg
= 7*9 = $63
bag B = $10 per kg
= 10*15 = $150
bag C = $13 per kg
= 13*21 = $273
bag A+B+C = 63+150+273 = $486
therefore $486 for 45kg
cost per kg= 486/45 = $10.8
A school purchased sand to fill a sandbox on its playground. The dimensions of the sandbox in meters and the total cost of the sand in dollars are known. Which units would be most appropriate to describe the cost of the sand?
Answers
The most appropriate units to describe the cost of the sandbox would indeed be dollars.
When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.
Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.
Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.
Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.
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32.00 for 8 pounds of meat what is the unit rate and the rate
Answers
Answer:
7 and 3
Step-by-step explanation:
A wagon weighing 2,000 kg and moving at 0.69 m/s has to be brought to rest by a buffer. Compute the number of springs that would be required in the buffer stop to absorb the energy of motion during a compression of 15 cm. Each spring has 15 coils, made of 2 cm wire, the mean diameter of the coils being 20 cm and G=0.8 x 10' N/mm². Also, determine the stiffness of spring.
Answers
To bring the 2,000 kg wagon to rest, the buffer stop needs enough springs to absorb its kinetic energy. The number of springs and their stiffness can be calculated using given parameters and formulas.
To calculate the number of springs required in the buffer stop, we need to find the energy of motion that needs to be absorbed. The kinetic energy (KE) of the wagon is given by KE = (1/2)mv^2, where m is the mass (2,000 kg) and v is the velocity (0.69 m/s). The KE is 477.9 J.Next, we calculate the potential energy stored in the compressed springs. The compression distance is 15 cm, which is 0.15 m. The potential energy (PE) stored in each spring is given by PE = (1/2)kx^2, where k is the stiffness of the spring and x is the compression distance.
The total energy absorbed by all the springs is equal to the kinetic energy of the wagon. Therefore, the number of springs required is given by N = KE / PE, where N is the number of springs.To determine the stiffness of the spring, we use the formula k = (Gd^4) / (8nD^3), where G is the shear modulus (0.8 x 10^5 N/mm^2), d is the wire diameter (2 cm), n is the number of coils (15), and D is the mean diameter of the coils (20 cm).
By substituting the values into the equations, we can find the number of springs and the stiffness of each spring.
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Please please help!!! Giving brainiest
Answers
Answer:
8.8 ounces
Step-by-step explanation:
3.96 ÷ 0.45 = 8.8
entire regression lines are a collection of mean values of y for different values of x. group of answer choices true false
Answers
False. Regression lines are not a collection of mean values of y for different values of x. They represent the best-fit line that minimizes the sum of the squared differences between the observed y-values and the predicted y-values.
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A customer opens a checking account and a savings account at a bank. They will deposit a maximum of $600, some in the checking account and some in the savings account. (they might not deposit all of it and keep some money as cash if the coustomer deposits $200 in their checking account =, what can you say about the amount they deposit in their savings account
Answers
Answer:
x +y ≥ 600
This would be the inequality this is probably wayy late sorry :(
Which of the following is the definition of the sine ratio in a right triangle
Answers
Answer:
Oppositeleg
adjacenleg
Answer:
option 1
Step-by-step explanation:
Just remember this to get the trigonometric ratio in a right triangle :
Old Henry And His Old Aunt
O for opposite
H for hypotenuse
A for Adjacent
Sin = O/ H
Cos = A /H
Tan = O /A
25 cm
144 cm
?
Any help
Answers
Answer:
21360.9999
Step-by-step explanation:
7
There are 9 pencils in Bryce's pencil box. 3/4 of the pencils are mechanical pencils.
How many of his pencils are mechanical?
HELP
Answers
Answer: 27 mec. pencils
Step-by-step explanation:
Consider the following method, which implements a recursive binary search. /** Returns an index in myList where target appears, * if target appears in myList between the elements at indices * low and high, inclusive; otherwise returns -1. * Precondition: myList is sorted in ascending order. * low >= e, high < myList.size(), myList.size() > 0 */ public static int binarySearch(ArrayList mylist, int low, int high, int target) { int mid = (high + low) / 2; if (target myList.get(mid)) { return binarySearch(myList, mid + 1, high, target); } else if (myList.get(mid).equals(target)) { return mid; } return -1; } Assume that inputlist is an ArrayList of Integer objects that contains the following values. [e, 10, 30, 40, 50, 70, 70, 70, 70] What value will be returned by the call binarySearch(inputList, 6, 8, 70) ? O a 8 -1 O 5 7 6
Answers
The value returned by the call binarySearch (input List, 6, 8, 70) is 7.
The method provided in the question is a recursive binary search that searches for a target value within a sorted ArrayList.
The binarySearch method takes four arguments - the ArrayList to search within, the lower and upper bounds of the search range, and the target value.
In this case, the input ArrayList is [e, 10, 30, 40, 50, 70, 70, 70, 70].
The call to binarySearch(inputList, 6, 8, 70) will search for the value 70 within the sub-range of the ArrayList from index 6 to index 8, inclusive.
The mid index is calculated as
(8+6)/2 = 7
The value at index 7 is also 70, which matches the target value.
Therefore, the method will return the index 7, indicating that the target value was found at that position within the ArrayList.
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The produce department of a grocery store sold 288 pounds of tomatoes. The rest spoiled and had to be discarded. The amount that spoiled represented 28% of the shipment the store received. How many pounds of tomatoes were originally received?
Will mark brainliest
Answers
Answer:
369
Step-by-step explanation:
28% 0f 288=80.64
228lbs sold + 80.64(Round off) =81 = spoiled =369
1) Find the value of x and y
X
15
78
10
Answers
Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.
What are the values of x and y?To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.
Applying law of cosine;
x² = 15² + 10² - 2(15)(10)cos78
x² = 225 + 100 - 300cos78
x² = 225 + 100 - 62.4
x² = 262.6
x = √262.6
x = 16.2 units
From this, we can apply law of sine to determine y;
x / sin X = y / sin Y
Substituting the values into the formula above;
16.2 / sin78 = 10 / sin y
Cross multiply both sides and solve for y;
16.2siny = 10sin78
sin y = 10sin78 / 16.2
sin y = 0.6038
y = sin⁻¹ (0.6038)
y = 37.14°
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Box a had 3 times as many buttons as box b. after 15% of the buttons in box a and 10% of the buttons in box b were transferred to box c, the number of buttons in box c increased by 33%. if box c had 266 buttons in the end, how many buttons were there in box a in the end.
Answers
There were 118.22 buttons in box a initially and 354.67 buttons in box a in the end.
Let x = the number of buttons in box a initially.
There were 3x buttons in box a initially, and x buttons in box b initially.
15% of x is 0.15x, and 10% of x is 0.10x.
Thus, the 33% increase in buttons for box c was (0.15x + 0.10x).
We can set up the equation as follows:
0.15x + 0.10x + x + x = 266
0.25x + 2x = 266
2.25x = 266
x = 266/2.25
x = 118.22
Thus, there were 118.22 buttons in box a initially and 354.67 buttons in box a in the end.
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Which fraction can be replaced with
1
2
when estimating with fractions?
Answers
Answer:
2/4, 3/6, 4/8, 6/12
Those are numbers that can be equivalent to 1/2
(100Y 2 - 7ΟΥ + 49) (10Y + 7)
we have to multiply
Answers
Answer:
1300y^2+1400y+343
Step-by-step explanation:
Use FOIL to cancel out the products
The function g(x) is a transformation of the cube root parent function,
f(x) = V. What function is g(x)?
9(x)
70%)
A g(x) - 4+3
(B. (r) Var43
O c. g(x) - V-3+4
D. g(x)= x + 3+ 4.
Answers
Answer:
g(x)= -v-3+4
Step-by-step explanation:
what life was like in the time of
Which describes why digital signals are a more reliable way to encode and transmit information than analog signals? Multiple choice question. Noise builds up on digital signals only when the signals travel long distances. Noise is easily filtered out without damage to the original signal because only one of two values is expected. Noise is easily filtered out without damage to the original signal because a narrow range of values is expected. Noise does not build up on digital signals when they are transmitted, unlike analog signals.
Answers
The solution is Option B.
Noise is easily filtered out without damage to the original signal because a narrow range of values is expected
What are digital signals?A digital signal encodes data as a sequence of discrete values. A digital signal can only have one value from a finite set of possible values at any given time. A signal which is a discrete function of time, i.e. non-continuous signal, is known as digital signal. Digital computers and digital phones are some of the examples of digital signals
The three types of digital signals are
Continuous-Time/Analog Signal
Discrete-Time Signal
Digital Signal
Given data ,
The digital signals are a more reliable way to encode and transmit information than analog signals
Because , while transmitting information through digital signals , they have less interference over long distances and digital signals offer better clarity
The digital devices only record pieces of sound waves, not full waves.
Now , Analog technology stores information as sound waves; digital technology stores it as strings of ones and zeroes.
Hence , noise is easily filtered out without damage to the original signal because a narrow range of values is expected
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find the distance from the given point to each of the following. (3, 9, -7) (a) the xy-plane 7 correct: your answer is correct. (b) the yz-plane 3 correct: your answer is correct. (c) the xz-plane 9 correct: your answer is correct. (d) the x-axis correct: your answer is correct. (e) the y-axis correct: your answer is correct. (f) the z-axis correct: your answer is correct.
Answers
Distance from point (3,9,-7) to xy-plane is 7, yz-plane is 3, xz-plane is 9, x-axis, y-axis and z-axis is 0.
What is axis ?
An axis is a line about which a body rotates or a system oscillates. In mathematics and physics, an axis is often represented as a straight line that serves as a reference point for the measurement of coordinates.
The correct answers are :
(a) The distance from the point (3, 9, -7) to the xy-plane is the distance from the point to the z-axis, which is 7, since the xy-plane is at z = 0
(b) The distance from the point (3, 9, -7) to the yz-plane is the distance from the point to the x-axis, which is 3, since the yz-plane is at x = 0
(c) The distance from the point (3, 9, -7) to the xz-plane is the distance from the point to the y-axis, which is 9, since the xz-plane is at y = 0
(d) The distance from the point (3, 9, -7) to the x-axis is the distance from the point to the x-axis, which is 0, since the point is already on the x-axis
(e) The distance from the point (3, 9, -7) to the y-axis is the distance from the point to the y-axis, which is 0, since the point is already on the y-axis
(f) The distance from the point (3, 9, -7) to the z-axis is the distance from the point to the z-axis, which is 0, since the point is already on the z-axis
Distance from point (3,9,-7) to xy-plane is 7, yz-plane is 3, xz-plane is 9, x-axis, y-axis and z-axis is 0.
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PLEASEE HELP ASAPPPP!
x9/x4
PLEASSEEEEEEEE
Answers
Answer:
x^5
Step-by-step explanation
If this is dividing exponents, you just subtract the denominator from the numerator.
a container holds 4/5 liter of water. during the hike, jada drank 2/3 of the water. how much water did jada drink?
Answers
Using mathematical operations we can conclude that Jada drinks 8/15 liters of water.
What are mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands and a math operator. There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers. A mathematical action is called an operation. Mathematical operations include addition, subtraction, multiplication, division, and finding the root.So, liters of water Jada drinks:
We know that,
The container holds 4/5 liters of water.
Jada drinks 2/3 liters of water.
Now, liters of water Jada drinks is:
4/5 × 2/3
4×2/5×3
8/15
Therefore, using mathematical operations we can conclude that Jada drinks 8/15 liters of water.
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g(x)=-7x+4 solve for (-5)
Answers
Answer:
39
Step-by-step explanation:
g(-5)=-7×(-5)+4=35+4=39
Answer:
g(-5) = 39
Step-by-step explanation:
g(x) = -7x + 4
g(-5) = - 7* (-5) + 4
= 35 + 4
= 39
6
What is the slope-intercept equation
for the following line?
A
Help Resources
y = [?]x + [
Enter
![6What is the slope-intercept equationfor the following line?AHelp Resourcesy = [?]x + [Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/4TID7Tv9cVbmdMGsCAATRrzlQd1pGuIx.png)
Answers
Answer:
y= -1x+1
Step-by-step explanation:
Slope and y intercept
Answer:
-x+1
Step-by-step explanation:
The slope is negative, it is heading downwards.
The slope also only has a value of 1, the y-value decreases by one for every increase of the x-value. (-1/1)
This graph is shifted upwards by one which is why 1 is the b-value.
the volume of a cylinder is 8478 cubic inches and the radius id 15 inches which measurment is closest to the height of this cylinder in inches
Answers
Answer:
I think it might be 90in. I’m not quite sureStep-by-step explanation:
Instructions: Find the measurement of the angle indicated in the following parallelogram.
Answers
One of the below tables of values shoes information from a linear realationship which one is it and how do you know? Explain your answer PLEASE HELP ASAP! :)
Answers
Answer:
The answer is D
Step-by-step explanation:
It's because both x and y increase linearly by adding two each time to the x and 4 to the y.
which polynomial represents the difference below 5x^2 + 9x + 3
- (6x^2 - 3x)
-------------------------
Answers
Answer:
-x^2+12x+3
Step-by-step explanation:
remove parenthesis
collect the terms
and simplify
Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Find his average speed in kilometers per hour
Answers
The average speed with the given distance and time is 12.67 km per hour.
What is the average speed?Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.
Given that, Harvey the wonder hamster can run \(3\frac{1}{6}\) = 19/6 km in 1/4 hour.
We know that, average speed = Distance/time
= 19/6 ÷ 1/4
= 19/6 × 4/1
= 19/3 × 2/1
= 38/3
= 12.67 km per hour
Therefore, the average speed is 12.67 km per hour.
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Calculate the curved surface area of a cylindrical container with radius 30cm and height 36cm
Answers
The curved surface area of the cylindrical container is approximately 6782.3 \(cm^2.\)
To calculate the curved surface area of a cylindrical container, we need to find the lateral surface area.
The lateral surface area of a cylinder is given by the formula 2πrh, where r is the radius of the base and h is the height of the cylinder.
In this case, the radius of the cylindrical container is 30 cm and the height is 36 cm. Plugging these values into the formula, we have:
Lateral surface area = 2π(30 cm)(36 cm)
= 2160π cm².
The curved surface area of the cylindrical container is approximately 6782.4 .\(cm^2.\)
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