as an architect, you are designing a new house. a window has a height between 140 cm and 150 cm and a width between 74 cm and 70 cm. what are the smallest and largest areas that the window could be?
The smallest and the largest area of the window will be 9.8 and 11.1 sq. metres respectively.
This problem is based on the area of rectangle .
Here, since the height and the width of the window are distinct, so the window can be assumed to be of rectangular shape.
Now, the area of a rectangle is given by = l x b where l and b are respectively the height and the width of the window respectively.
The area would be smallest when both the height and width are least i.e. 140 cm and 70 cm .
So, smallest area = lxb = 140 x 70 = 9800 sq. cm = 9.8 sq. m.
Similarly the largest area would be when both the height and the width are maximum i.e. largest area = lxb = 150x 74 = 11,100 sq cm. =11.1 sq metres.
Therefore, the smallest and the largest area of the window will be 9.8 and 11.1 sq. metres respectively.
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The smallest and the largest area of the window will be 9.8 and 11.1 sq. metres respectively.
This problem is based on the area of a rectangle.
Here, since the height and the width of the window are distinct, so the window can be assumed to be of rectangular shape.
Now, the area of a rectangle is given by = l x b where l and b are respectively the height and the width of the window respectively.
The area would be smallest when both the height and width are least i.e. 140 cm and 70 cm .
So, smallest area = lxb = 140 x 70 = 9800 sq. cm = 9.8 sq. m.
Similarly, the largest area would be when both the height and the width are maximum i.e. largest area = lxb = 150x 74 = 11,100 sq cm. =11.1 sq metres.
Therefore, the smallest and the largest area of the window will be 9.8 and 11.1 sq. metres respectively.
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Solve 6 + 5(m +1) = 26.
The solution is m=
Answer:
m = 3
Step-By-Step Explanation:
\(6+5(m+1) = 26\\6 + 5m + 5 = 26\\11+5m=26\\5m=15\\m=3\)
The solution is m = 3 in 6 + 5(m +1) = 26.
Given ,
6 + 5(m +1) = 26
Here,
Firstly take 6 from LHS to RHS
5(m +1) = 26- 6 .
5(m + 1) = 20
Divide by 5 in both sides,
(m + 1) = 4
m = 4-1
m = 3
Thus the value of m is 3 .
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The radius of a semicircle is 24 inches. What is the semicircle's perimeter?
Answer:
123.4 inches
Step-by-step explanation:
Answer:
C ≈ 150.8Step-by-step explanation:
\(Perimeter = Circumference\\C=2\pi*r\\r = 24 in\\C = 2 * 3.14*24\\C =150.72\\C = 150.8\)
pproximate the value of f'(0.50) if f(x) = 5ln(3x) + 6cos(3-7x) Using Centered Differencing. h = 0.001 O-10.13569485 0-9.996690716 O-10.27469898 11 35089814 Approximate the value of f'(4.645) if f(x) = In (3x)+sin(5x-4) -3 Using Centered Differencing. h = 0.002 4.86693212 O4.876145534 O-4629511341 -4.673166844
Answer:
(a) -10.13569485(a) 4.86693212Step-by-step explanation:
You want the approximate value of f'(0.50) if f(x) = 5ln(3x) +6cos(3 -7x) and the approximate value of f'(4.645) if f(x) = ln(3x) +sin(5x -4) -3 using centered differencing and h = 0.001 and 0.002, respectively.
Centered differencingThe approximate derivative using centered differencing is computed as ...
f'(x) ≈ ((f(x +h) -f(x -h))/(2h)
F'(0.50)The calculations using the above formula for (x, h) = (0.50, 0.001) are shown in the first half of the attachment. The approximate value is ...
f'(0.50) ≈ -10.13569485
F'(4.645)The calculations using the above formula for (x, h) = (4.645, 0.002) are shown in the second half of the attachment. The approximate value is ...
f'(4.645) ≈ 4.86693212
__
Additional comment
The calculator must be in radians mode for these functions.
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help me please I need help
Answer:
45
Step-by-step explanation:
A brick weighs w kg. Write an expression for the weight of 12 bricks.
in khan academy 1/3x 1/2x 1/4
Answer:
0.0416
Step-by-step explanation: Hope it helps
Half dollar coins weigh 4 ounces and quarters weigh
0.2 pound, Laurel has 9 half dollar coins and 25 quarters in
her coin bank. Her coin bank weighs 2 pounds. Laurel lifts the
coin bank. How much does the bank and the coins weigh?
(A) 43 ounces
(C) 118 ounces
(B) 88 ounces
(D) 148 ounces
Answer:
A roll of quarters from the bank is worth $10 and weighs almost exactly half a pound, so 200 pounds works out to $4000.
Which event is most likely to occur?
A. flipping a fair coin, with sides labeled heads and tails, and the coin landing on tails
B. choosing a marble out of a bag, with nine blue marbles and one red marble, and the marble is red
C. rolling a fair number cube, with faces labeled one to six, and the cube landing on a number less than six
D. spinning the arrow on a spinner, with four equal sectors labeled one to four, and the arrow landing on a number greater than one
Consider the inequality 1/2x−1/4<5/8 .
The required solution to the given inequality is x < 7/4.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Given that,
To determine the simplified solution of the inequality 1/2x−1/4 < 5/8.
1/2x−1/4<5/8 .
Adding 1/4 on both sides of the equality,
1/2x < 5 / 8 + 1 / 4
Multiply by 2 on both sides of equality,
1 / 2x < 7 / 8
x < 7 / 4
So, the solution of inequality lies x greater than 7/4, as of the given conditions.
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If purchased a TV on my debit card, money will be taken out of my account immediately
True
False
Answer: Debit card transactions usually go through a period where the purchase is pending before the funds are removed from your account. The funds will not be taken out of your account immediately. Therefore it is false
which of the following is not a survey mode mentioned in the text?a.person-administered.bputer-administered.c.self-administered.d.mixed-mode.
The survey mode that is not mentioned in the text is "puter-administered." The correct option is b: puter-administered.
The following is not a survey mode mentioned in the text: a.person-administered. b: puter-administered. c.self-administered. d.mixed-mode.
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Please help!!! Its urgent
x² + 4x - 5 is the answer...
Answer:
x^2 + 4x - 5
Step-by-step explanation:
(x+5) x (x-1)
Multiply the parentheses
X × X - X + 5x -5
Calculate
x^2 − X + 5x − 5
Collect like terms
Solution:
x^2 + 4x - 5
Ray and Alice are supposed to meet in Dallas and then drive to Branson together. Normally, it would be a fun trip, but the two of them don't exactly get along. At present, they are 558 miles apart and headed straight toward each other.
Ray is driving at a mere 30 mph and Alice is going a whopping 32 mph. If both of them keep heading toward Dallas (a big if), and neither one gets pulled over for driving too slowly, how many hours will it be before they meet?
Answer: Since Ray and Alice are headed towards each other, the distance between them will be decreasing at a rate equal to the sum of their speeds. We can use the formula:
time = distance / speed
Let's call the time it takes for Ray and Alice to meet "t". We know that the distance between them is 558 miles, and the sum of their speeds is:
30 mph + 32 mph = 62 mph
So, using the formula above, we can solve for "t":
t = 558 miles / 62 mph
t = 9 hours
Therefore, it will take 9 hours for Ray and Alice to meet if they both keep heading toward Dallas at their respective speeds.
Step-by-step explanation:
PLSSSS$$SSSSS HELP! I WILL MARK U BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Ronnie walked into the electronics store and fell in love with a stereo speaker. The speaker cost $500. Since Ronnie only had $ 60, he decided to use his credit card to purchase the $500 speaker.
In two or more complete sentences explain whether or not Ronnie’s purchase is an example of an impulse purchase?
Answer:
This is most definately an impulse purchase because Ronnie had not planned to buy the stereo speaker, but had a impulse to buy it even when he didn't have the money. Had he already decided he wanted the stereo and went to the store to buy it that would not be an impulse purchase it would be a planned purchase.
HELP I HAVE A TEST TMR MORNING!!!!!!
A boat tied up at a dock bobs up and down with passing waves. The vertical distance between its high point and its low point is 1.8m and the cycle is repeated every 4 s.
Here is the equation that models this: \(f(x)=0.9sin(\frac{\pi }{2} x)\)
^The y-coordinates are in m and the x coordinates is the time in seconds
b) Use the model to determine when, during each cycle, the boat is 0.5m above the mean positition.
BRAINLIEST!!!!
The time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s
Since y = f(x) = 0.9sin(πx/2)
We want to determine the time, x at which the boat is 0.5 m above its mean position. This is the value of y at y = 0.5 m
So, y = f(x) = 0.9sin(πx/2)
0.5 = 0.9sin(πx/2)
Dividing through by 0.9, we have
0.5/0.9 = sin(πx/2)
5/9 = sin(πx/2)
Taking inverse sine of both sides, we have
sin⁻¹(5/9) = πx/2
sin⁻¹(0.5556) = πx/2
0.589 rad = πx/2
x = 2 × 0.589/π
x = 1.178/π
x = 0.375 s
Since the boat repeats its cycle every 4 seconds, the time the boat is 0.5 m above the mean position after n cycles is t = (4n + 0.375) swhere n is a positive integer. That is n = 0, 1, 2, 3...
So, the time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s
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What type of solution do you get if you solve an equation and the last like says 12 = 12
Answer:
Step-by-step explanation:
The term is called Infinitely Many Solutions. Basically no matter what you plug into the equation, the solution will always come out to be true
Step-by-step explanation:
simultaneous equation
Write a conjecture that describes the pattern in the sequence. Then use your conjecture to find the next item in the sequence. 0,2,4,6,8
The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10
How to write a conjecture that describes the pattern in the sequence?The sequence is given as:
0, 2, 4, 6, 8
In the above sequence, we can see that each current term is 2 added to the previous term
i.e.
Tn = 2 + Tn-1
Using the above conjecture, we have
Next term = 8 + 2
Evaluate
Next term = 10
Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10
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Someone explain please
Answer:
SA = 94 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 4
w = 5
h = 3
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 5(4) + 3(4) + 3(5) )
SA = 2 ( 20 + 12 + 15 )
SA = 2 ( 47 )
SA = 94 ft²
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Which of the following is NOT a barrier to effective communication?
O A customer representative who avoids eye contact with the customer
O A room which is too noisy
O A customer who speaks a foreign language
OA salesperson who has good listening skills.
15 Calculate the amount of work Done when moving a 567N Grate a Distance of 20meters
11340 Joules the amount of work Done when moving .
A work short answer is what?
Work is defined as the displacement caused by a force acting in any direction other than perpendicular to the direction of displacement. Force + Displacement equals work.The definition of work in physics demonstrates that energy is communicated whenever labor is performed.The magnitude of the displacement and the component of the force acting in that direction together produce work.You moved the cargo 20 meters after lifting it, in accordance with
Work Equals Force times Distance
Work = Force x Distance
W = 567n x 20m =
= 11340 nm
= 11340 Joules
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The cost of a service call to fix a washing machine can be expressed by the linear function y = 45 x + 35, where y represents the total cost and x represents the number of hours it takes to fix the machine. What does the slope represent?
The cost for each hour it takes to repair the machine.
The cost for coming to look at the machine.
The total cost for fixing the washing machine.
The amount of time that it takes to arrive at the home to make the repairs.
Answer:
A) The cost for each hour it takes to repair the machine.-----------------------
The total cost of repair is expressed by the function:
y = 45x + 35As we see,
y- is the total cost, x - is the number of hours to fix;The slope is 45 and it represents the cost per hour to fix the car;The 35 is the y-intercept that represents a one off cost for service.Therefore the answer is option A.
Select all the question that are true given the diagram below
Answer:
a b d
Step-by-step explanation:
pls help fast / what do i put?
1.02 is the correct answer i hope this helped<3
a two-dimensional form that occupies an area is called a(n)
A two-dimensional form that occupies an area is called a shape.
Shapes can be various types such as rectangles, circles, triangles, and many others, and they are defined by their properties such as sides, angles, and vertices. They are defined by their boundaries or edges and exist within a plane. These forms have dimensions of length and width, but not depth. Shapes play a fundamental role in geometry and are studied extensively in mathematics and art. They can be simple or complex, symmetrical or asymmetrical, and are used to represent objects, patterns, or designs. Whether in the natural world or man-made creations, shapes are integral to our understanding and appreciation of visual compositions.
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PLEASEEEE HELPPPPP
brainliest answer will be marked
a. The problem is determining the number of each kind of fish that Paula can buy.
b. The two equations for the system are b + c = 6 and 2.50b + 5.50c = 24.00
c. By using substitution, the value of c is 3 clown loaches.
d. By using substitution, the value of b is 3 blue gouramis.
How to write a system of equations to model this situation?In this scenario, we can logically deduce that Paula wishes to add some tropical fish to her aquarium and has to determine the number of each kind of fish she should buy.
Part b.
Assuming the variable b represent the number of blue gouramis and the variable c represent number of clown loaches, a system of equations to describe this situation can be written as follows;
b + c = 6 (equation dealing with the number of fish)
2.50b + 5.50c = 24.00 (equation dealing with cost).
Part c.
By using the substitution method, the value of c is given by:
2.50(6 - c) + 5.50c = 24.00
15 - 2.50c + 5.50c = 24.00
-2.50c + 5.50c = 24.00 - 15
3c = 9
c = 9/3
c = 3 clown loaches.
Part d.
By using the substitution method, the value of b from the second equation is given by:
2.50b + 5.50c = 24.00
2.50b + 5.50(3) = 24.00
2.50b = 24.00 - 16.50
b = 7.50/2.50
b = 3 blue gouramis.
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Question:
Paula wants to add some more tropical fish to her aquarium. She wants to buy some blue gouramis, which cost $2.50 each, and some clown loaches, which cost $5.50 each. She has room for only 6 more fish and she has $24.00 to spend. How many of each kind of fish can she buy?
PLEASEE HELP! I WILL MARK BRAINLIEST!
Answer: This is the only thing i can find online about your question.
Step-by-step explanation:
if it helps pls mark me brainliest.
What is the value of x?
Enter your answer in the box.
x=?
Answer:23/3
Step-by-step explanation:
6/48=5/3x+7
1/8=5/(3x+7)
3x+7=40
3x=23
x=23/3
what is 3/4 of 4/9 kilogram?
Answer:
0.333333333kilograms
Step-by-Step explanation:
3 x 4 = 12
4 x 9 = 36
3/4 ÷ 4/9 = 12 ÷ 36 = 1/3 = 0.333333333 kilograms
i need help pls i don't know what to do at all pls help
Answer:
Add all the outer lines and they may add up to be the perimeter, if you need the area multiply 4 times 8 and add that to 5.6*4/2 +4.5*4/2 plus four times eight
Step-by-step explanation:
Answer:
I remember these form when I was like 10 but ok.
Step-by-step explanation:
pretty sure you multiply the base times the height. But first you have to take out all triangwkes which leaves you with two of them.
so 8x4 for the top one and then 14x4.5 for the bottom one.
then for the triangles the one on the left is 5.6x4
the right one is 4.5x14
then divide both triangles answers into two. That should be the triangle areas. Then add the two triangles pieces together.
once don’t add the squares areas with the triangles and that’s THE AREAAAA
im sry I’m a lil rusty so if it’s wrong pwease forgive me :/