Answer: 2.04
Step-by-step explanation:
2+2=4
4/50 = 2.04
A room is 11 ft by 20 ft. It needs to be painted. The ceiling is 8 ft above the floor. There are two windows in the room, each one is 3 ft by 4 ft. The door is 2.5 ft by 6.5 ft.
Part 2
a) Find the area of the walls and ceiling to be painted.
b) One gallon of paint covers 71.41 sq ft. How many gallons are needed to paint the room?
c) At $18.32 a gallon, what is the cost to paint the room?
The required answers are,
a) 675.75 \(ft^2\)
b) 9.46 gallons or we can say that 10 gallons needed.
c) $183.2
What is Area:The amount of unit squares that cover a closed figure's surface is its area. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity. The term “area” refers to the space inside the boundary or perimeter of a closed shape.
Now in the given question,
Area of Walls:
\(A(walls)=2(11*8)+2(20*8)\\A(walls)=2(88)+2(160)\\A(walls)=176+320\\A(walls)=496 ft^2\)
Area of 2 windows:
\(A(windows)=2(3*4)\\A(windows)=2*12\\A(windows)=24 ft^2\)
Area of door:
\(A(door)=2.5*6.5\\A(door)=16.25 ft^2\)
Area of walls to be painted:
\(=A(walls)-A(windows)-A(door)\\=496-24-16.25\\=455.75ft^2\)
Area of ceiling:
\(A(ceiling)=11*20\\A(ceiling)=220ft^2\)
(a) Now total area to be painted:
A(walls to be painted)+ A(ceiling)=A(total)
\(A(total)=455.75 ft^2+220ft^2\\A(total)=675.75 ft^2\)
(b) Number of Gallons:
coverage=71.41 ft^2 /gallon
675.75 ft^2/71.41 ft^/gal=gallons needed
9.46 gal= 10 gallons needed(approx)
(c) Cost of Paint:
You would need to buy 10 gallons at $18.32/gallon to have sufficient paint
cost=10 gallons x $18.32/gallon
=$183.2
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Subtract 2.2 and 41.5 explain show ur w work
subtract 2.2 and 41.5:
The expression to subtract the numbers will be :
\(2.2-41.5=\text{?}\)In this, the sign of the result will be like the sign of the greatest number
As 41.5 is greater than 2.2, the sign will be (-)
then subtract 2.2 from 41.5
so, the answer will be :
\(\text{2}.2-41.5=-39.3\)
I need someone’s help fast, I don’t have much longer
Answer:
B
Step-by-step explanation:
Need 5 or more pairs pretty sure have to be different and i belive you need to use 3 rigid motion steps which are rotate clockwise 90 degrees, flip or reflect accrss line,axis,point and translate or shift up,down left, right blob:chrome-untrusted://media-app/3a17e069-2696-48ff-84dd-bd2e0126810c
Grab your notebook or phone and slide it across the desk you're working on. Now turn it so it's facing sideways. Now flip it over on one of its edges so you're looking at the back side of it. All of these motions are rigid motions.
Rigid Motion:Any way of moving all the points in the plane such that
a) the relative distance between points stays the same and
b) the relative position of the points stays the same.
There are four types of rigid motions that we will consider: translation , rotation, reflection, and glide reflection.
Translation:In a translation, everything is moved by the same amount and in the same direction. Every translation has a direction and a distance. See Image-1.
Rotation:A rotation fixes one point (the roto center) and everything rotates by the same amount around that point. Every rotation has a roto center and an angle. See Image-2.
Reflection:A reflection fixes a mirror line in the plane and exchanges points from one side of the line with points on the other side of the mirror at the same distance from the mirror. Every reflection has a mirror line. See Image-3.
Glide Reflection:A glide reflection is a mirror reflection followed by a translation parallel to the mirror. Every glide reflection has a mirror line and translation distance. See Image-4.
Therefore,
Simply put, rigid motions are transformations that preserve the side lengths and angles in a shape. You can see any of these transformations by moving an object you may have around you right now. Grab your notebook or phone and slide it across the desk you're working on. Now turn it so it's facing sideways. Now flip it over on one of its edges so you're looking at the back side of it. All of these motions are rigid motions.
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. 211 Use Simpson's tu approximate rule EN with n=4 (Ham 2 So. Vitus dy +35
Simpson's rule for numerical integration is a technique for estimating the value of a definite integral using quadratic functions. In numerical analysis, this technique is known as Simpson's 1/3 rule or Simpson's rule of degree 2.
The Simpson's rule of degree 2 can be used to approximate a definite integral that has even number of points. Simpson's rule for numerical integration is used when an integrand is not easily calculable. It helps in dividing the area into smaller parts and calculating each smaller area.
211 Use Simpson's approximate rule EN with n=4 (Ham 2 So. Vitus dy +35We have to find the integral of the given expression using Simpson's rule with n=4. Therefore, we first have to find the values of the function at the endpoints and the midpoint of each subinterval. Therefore, the approximate value of the integral using Simpson's rule with n=4 is 5042.974.
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Solve for the length of BC
Answer:
BC= 9cm
Step-by-step explanation:
You'll need to use the Pythagorean theorem:a^2 + b^2 = c^2
12^2 + b^2 = 15^2The slanted side of the triangle is always going to be 'c' because it is the longest side of the triangle.
Now simplify: 144 + b^2 = 225I got these numbers because 12^2= 144 and 15^2= 225
Subtract. 225 - 144 = 81Now find the square root of 81. The answer is 9.Find the measure of
=======================================================
Explanation:
The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.
Those angles add to the other angles to form a full 360 degree circle.
Let x be the measure of angle SPT and angle TPU.
86 + 154 + 60 + x + x = 360
300 + 2x = 360
2x = 360-300
2x = 60
x = 60/2
x = 30
Each red angle is 30 degrees.
Then,
angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)
angle SPQ = (30) + (30) + (86)
angle SPQ = 146 degrees
--------------
Another approach:
Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:
360 - 214 = 146 degrees
list all pairs of matching angles
Answer:
Listed
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△STR≅△LMN, SR=7b+8, and LN=11b−12. Find b and SR.
Answer:
b = 5
Step-by-step explanation:
△STR ≅ △LMN
This means the corresponding sides are equal.
SR and LN are corresponding sides.
SR and LN are equal.
The value of b is 5.
The value of SR is 43
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
△STR ≅ △LMN
This means the corresponding sides are equal.
SR = 7b + 8
LN = 11b − 12
SR and LN are corresponding sides.
SR and LN are equal.
So,
7b + 8 = 11b − 12
Subtract 7b on both sides.
8 = 11b - 7b - 12
Add 12 on both sides.
8 + 12 = 4b
20 = 4b
b = 20/4
b = 5
Now,
SR:
= 7b + 8
= 7 x 5 + 8
= 35 + 8
= 43
Thus,
The value of b is 5.
The value of SR is 43
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Design or make a sketch plan of a table made out of a 3/4 inch by 4 feet by 8 feet plywood, and 2 inches by 3 inches by 8 feet plywood. Using your design or sketch plan, show the solutions in your formulated problems involving quadratic equations.
ANSWER PO ASAP!! THANK YOU.
You would need to represent the table's legs and support structure as beams, compute the plywood's load-bearing capacity, and figure out the maximum weight the table can hold before breaking in order to solve this problem.
Determining the ideal tabletop dimensions for a given surface area is another potential quadratic equations challenge.
In order to solve this issue, you must first create an equation for the tabletop's surface area in terms of its dimensions (length and width).Then use calculus to determine the maximum or minimum value of the surface area subject to a restriction on the total amount of plywood available (i.e., the 4 feet by 8 feet plywood and the 2 inches by 3 inches by 8 feet plywood).Let's assume that the width of the table is x feet, then its length would be 2x feet. The perimeter of the table would be:
P = 2(width + length)
P = 2(x + 2x)
P = 6x
The legs would be placed 6 inches from the corners, so the length of the tabletop would be reduced by 1 foot (12 inches) on each side. Thus, the length and width of the table would be:
Length = 2x - 2(1 ft)
= 2x - 2
Width = x - 2(1 ft) = x - 2
The area of the table would be:
A = Length x Width
A = (2x - 2)(x - 2)
A = \(2x^2 - 6x + 4\)
dA/dx = 4x - 6
4x - 6 = 0
x = 1.5
Substituting x = 1.5 into the area function, we get:
A = 2\((1.5)^2\) - 6(1.5) + 4
A = 1
Therefore, the maximum area of the table is 1 square foot, and the dimensions of the tabletop should be 3 feet by 6 feet to achieve this maximum area.
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Correct Question:
Design or make a sketch plan of a table made out of a 3/4 inch by 4 feet by 8 feet plywood, and 2 inches by 3 inches by 8 feet plywood. Using your design or sketch plan, show the solutions in your formulated problems involving quadratic equations.
Evaluate the function below for x=4. f(x)=3e
−x+2
−2 Round your answer to three decimal places.
The evaluated value of the function f(x) = 3e^(-x+2) - 2 for x = 4 is approximately 0.045.
To evaluate the function, we substitute x = 4 into the given equation and simplify the expression. Plugging in x = 4, we have f(4) = 3e^(-4+2) - 2. Simplifying further, we get f(4) = 3e^(-2) - 2.
Using the approximate value of e as 2.71828, we can calculate the evaluated value. Evaluating 3e^(-2) - 2, we find that f(4) is approximately equal to 0.045 when rounded to three decimal places.
Therefore, when x is 4, the function f(x) = 3e^(-x+2) - 2 evaluates to approximately 0.045.
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What special word do you use for the exponent of 2?
Answer:
You can say x to the power of 2 or you can say x squared.
Hope that answers your question!
ASAP!! ITS URGENT!
How much wood is needed to build a toy box that is 1 m long, 0.5 m wide, and 0.5 m tall? (Include
wood for the toy box cover.)
The amount of wood needed to build a toy box that is 1 m long, 0.5 m wide, and 0.5 m tall is given as follows:
S = 2.5 m².
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.
The dimensions for this problem are given as follows:
l = 1m, w = 0.5 m, h = 0.5 m.
Hence the surface area, representing the amount of wood needed, is given as follows:
S = 2(0.5 x 0.5 + 0.5 x 1 + 0.5 x 1)
S = 2.5 m².
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It took 18 seconds for a mercury thermometer to rise from - 35°C to 100°C when it was taken from a freezer and placed in boiling water. Show that somewhere along the way the mercury was rising at the rate of 7.5°C/second.
The mercury in the thermometer was rising at the rate of 7.5°C/second.
How the mercury in the thermometer was rising at the rate of 7.5°C/second?We know that the thermometer took 18 seconds to rise from -35°C to 100°C. Let's find the average rate of temperature change over this time interval:
Average rate of temperature change = (change in temperature) / (time interval)
= (100°C - (-35°C)) / (18 seconds)
= 135°C / 18 seconds
= 7.5°C/second
This shows that the average rate of temperature change over the entire time interval was 7.5°C/second.
Since the thermometer was continuously rising in temperature, there must have been some point during this interval where the rate of temperature change was exactly 7.5°C/second. This follows from the intermediate value theorem, which states that if a function is continuous over an interval and takes on two different values at the endpoints of the interval, then it must take on every value in between at some point within the interval.
Therefore, we can conclude that somewhere along the way, the mercury in the thermometer was rising at the rate of 7.5°C/second.
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Which of the following graphs is NOT a function?
Answer:
11. B
12. C
Step-by-step explanation:
11. The x-axis number cannot have repeating numbers for it to be a function. The y-axis can have repeating numbers.
12. The graph on C passes the vertical line test, thus it's a function.
What is the probability, P, of an event that is certain to occur?
P=
Answer:
1
Step-by-step explanation:
Of the four choices given, which two, when written as a system, have a solution of (-4,5)?
Answer:
The answer is A. The first one.
I hope this helps. ;)
Answer:
It is A on edge 2020
Step-by-step explanation:
The fine schedule for overdue books at the county library is modeled by the values in the table.
Library Fines for Overdue Books
Days overdue
Amount of fine
0
0 ¢
2
5 ¢
4
10 ¢
6
15 ¢
8
20 ¢
10
25 ¢
Which equation best models the fine schedule for overdue books?
y = five-halves x, where x is the cost in cents for a book that is y days overdue
y = five-halves x, where y is the cost in cents for a book that is x days overdue
y = 5 x, where x is the cost in cents for a book that is y days overdue
y = 5 x, where y is the cost in cents for a book that is x days overdue
Answer:
y = five-halves x, where y is the cost in cents for a book that is x days overdue
Step-by-step explanation:
See attachment
Answer:
y = 5\2 x, where y is the cost in cents for a book that is x days overdue
Step-by-step explanation:
Find the equation of the line that has a slope of -3 and a y-intercept at 5.
y = -3x + 5
y = -5x + 3
y = 5x - 3
y = 3x - 5
2.
Find the equation of the line that has a y-intercept of -1 and a slope of 1/2.
y = -x + 1/2
y = 1/2 x - 1
y = -1/2 x + 1
y = 1x - 1/2
3.
Find the equation of the line where m = 1 and b = 8.
y = x + 8
y = 8 - x
y = 8x + 1
y = 8
4.
Find the equation of the line that goes through the point (1, -1) and has a slope of 5.
y = 5x - 6
y = 5x + 1
y = 5x - 1
y = x + 5
5.
Find the equation of the line that goes through the point (2, -3) and has a slope of -1.
y = -x - 1
y = 2x - 3
y = -x - 3
y = -x + 2
6.
Find the equation of the line that goes through the point (5,1) and has a slope of 0.
y = 5
y = 1
y = 5x + 1
x = 5
7.
Find the equation of the line that goes through the point (-2, -2) and has a slope of -4.
y = -2x - 2
y = -4x - 10
y = -4x - 2
y = -2x - 4
8.
Find the equation of the line that goes through the points (0, 4) and (10, 2).
y = -1/5 x + 2
y = -5x + 4
y = -1/5 x + 4
y = 1/5 x - 4
9.
Find the equation of the line that goes through the points (2, 2) and (6, 6).
y = 2x + 6
y = 6x + 2
y = x
y = -x
10.
Find the equation of the line that goes through the points (0, 6) and (12, 2).
y = 12x + 2
y = -3x + 6
y = -1/3 x + 6
y = -1/3 x + 2
11.
Find the equation of the line that goes through the points (4, 4) and (8, 6).
y = 4x + 6
y = 1/2 x + 2
y = 2x - 4
y = 1/2 x + 4
Step-by-step explanation:
1. A
2. B
3. A
4. A
5. A
6. B
7. B
8.C
9. C
10. C
11. C
Glven: x + y = 10.
If x= -21, what is y?
31
11
31
Answer: y= 31
It's 31 because if you add 31 to -21 that would give you 10
Please HELP me with this question! I am really struggling with this...
A) 22°
Step-by-step explanation:∡DBG = (360° - BD - BG)/2
= (360° - 170° - 146°)/2
= 44°/2
= 22°
complete the problem
5/10 + 8/100 =
At lunch time a restaurant sold 6 times as many salads as they sold cups of soup . If they sold two cups of soup how many salads did they sell
Rosie is x years old
Eva is 2 years older
Jack is twice Rosie’s age
A) write an expression for the mean of their ages.
B) the total of their ages is 42
How old is Rosie?
Answer:
Rosie is 10 years old
Step-by-step explanation:
A)
Rosie is x years old
Rosie's age (R) = x
R = x
Eva is 2 years older
Eva's age (E) = x + 2
E = x + 2
Jack is twice Rosie’s age
Jack's age (J) = 2x
J = 2x
B)
R + E + J = 42
x + (x + 2) + (2x) = 42
x + x + 2 + 2x = 42
4x + 2 = 42
4x = 42 - 2
4x = 40
\(x = \frac{40}{4} \\\\x = 10\)
Rosie is 10 years old
How many numbers less than 100 but larger than 30 are there when divided by 5 and 6, the remainders are the same?
There are 10 numbers less than 100 but larger than 30 that, when divided by 5 and 6, yield the same remainder. This can be determined by finding the least common multiple (LCM) of 5 and 6, which is 30.
Then, we identify the numbers in the range (30, 100) that have the same remainder when divided by 30, which is 0.
To find the numbers that satisfy the given condition, we need to consider the common multiples of 5 and 6. The LCM of 5 and 6 is 30. Any number that leaves the same remainder when divided by 5 and 6 will also leave the same remainder when divided by their LCM, which is 30.
In the given range, (30, 100), we can find the numbers that yield a remainder of 0 when divided by 30. Starting from 30 itself, we can increment by multiples of 30 to find other such numbers. The numbers that satisfy the condition are: 30, 60, 90, and so on.
To determine the total count of these numbers, we need to consider how many multiples of 30 fall within the range of (30, 100). We can divide the range width, which is 100 - 30 = 70, by the increment, which is 30. The result is (70 ÷ 30 = 2 remainder 10), meaning there are two complete sets of multiples of 30, plus an additional 10 numbers.
Therefore, there are 2 sets of numbers (30, 60, 90) and an additional 10 numbers (40, 50, 70, 80, 100) that satisfy the condition. The total count is 2 + 10 = 12.
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A bird flies 8.64 meters above the pond. A fish swims below the bird at -1.78 meters from the surface of the water. How many meters apart are the bird and the fish?
match the unit rate to unit price
Can somebody help me??
Answer:
yes it does
pls give brainly
Step-by-step explanation:
Answer:
Yes the table shows a proportinal relationship
Step-by-step explanation:
1:24
2:48
3:72
4:96
24 divided by 1 is 24
48 divided by 2 is 24
72 divided by 3 is 24
96 divided by 4 is 24
two boxes contain the following tickets: box a has 5 tickets, labeled 1, 1, 1, 2, 2 box b has 10 tickets, labeled 3, 3, 5, 5, 5, 5, 5, 5, 5, 5 for each description, choose the plot that matches it. not all plots will be used.
The protagonist, a detective, stumbles upon a series of crimes connected to the labeled tickets.
Does the protagonist in Box B's plot have any special abilities or powers related to the tickets?Box A: The plot that matches Box A is a thrilling mystery. The protagonist, a detective, stumbles upon a series of crimes connected to the labeled tickets.
As the detective investigates, they discover that the tickets with the number "1" are linked to a notorious gang involved in illegal activities. The tickets labeled "2" lead the detective to a secret society that uses the tickets for initiation rituals.
The plot unfolds as the detective races against time to unravel the connections between the tickets and bring the culprits to justice.
Box B: The plot that matches Box B is a heartwarming tale of friendship and adventure. The protagonist, a young child, finds one of the tickets labeled "3" and realizes it grants them access to a magical world. In this world, they meet a group of unique and colorful characters who also possess tickets labeled "5."
Together, they embark on a journey to restore harmony to their realm, battling against an evil force that seeks to exploit the power of the tickets. Through their shared experiences, the group learns valuable lessons about courage, loyalty, and the true meaning of friendship.
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Calculate the work done in lifting a 15-lb flower pot to a height of 4 ft above the ground.
Answer:
A. 60 ft·lb
Step-by-step explanation:
You want the work done lifting a 15-lb flower pot to a height of 4 ft.
WorkWork is the product of force and distance. When the pot is raised 4 ft, the work done is ...
W = F·d
W = (15 lb)(4 ft) = 60 ft·lb
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