Carol has a small copy of a painting. The dimensions of her copy are shown at right. The scale of the copy is 0.5 inches : 12 centimeter.
a.Find the dimensions of the original painting.
b.Find the area of the original painting.
c.One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet.
d.Find the area of the painting in square feet. Round to the nearest thousands.
(I'm sorry I don't understand this...can anyone help??..)
Answers
we know that
[scale]=0.5/12
[scale]=[copy of a painting]/[original painting]
dimensions copy of a painting--------------> 1.75 in x 5.25 in
for 1.75 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[1.75]/[(0.5/12)]=42 cm
for 5.25 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[5.25]/[(0.5/12)]=126 cm
the answer Part A) is
the dimensions of the original painting are 42 cm x 126 cm
Part B)
Find the area of the original painting.
[area of the original painting]=42*126=5292 cm²
the answer Part B) is
area of the original painting is 5292 cm²
Part C)
One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet.
the dimensions of the original painting are 42 cm x 126 cm
then
for 42 cm
if 1 cm----------------> 0.033 ft
42 cm----------------> X
X=42*0.033=1.386 ---------> 1.386 ft
for 126 cm
if 1 cm----------------> 0.033 ft
126 cm----------------> X
X=126*0.033=4.158 --------> 4.158 ft
the answer Part C) is
the dimensions of the original painting in feet are 1.386 ft x 4.158 ft
Part D) Find the area of the painting in square feet. Round to the nearest thousands.
the dimensions of the original painting in feet are 1.386 ft x 4.158 ft
{Area original painting in feet]=1.386*4.158=5.763 ft²
the answer part C) is
the area original painting in feet is 5.763 ft²
Related Questions
divide (3x^3+5x) by (x+3)
Answers
Draw an upside down division symbol. Place the constant of x + 3 (-3) on the outside, and the coefficients of 3x³ + 5x on the inside, like so:
| x³ x² x¹ x⁰
-3 | 3 0 5 0
|
|___________
Bring down the first coefficient:
| x³ x² x¹ x⁰
-3 | 3 0 5 0
|
|___________
3
Multiply the number outside the symbol (-3) by the 3 you've just brought down. Place that number under the next coefficient to the right.
| x³ x² x¹ x⁰
-3 | 3 0 5 0
| -9
|___________
3
Add the new number (-9) to the coefficient above it and place that number directly underneath it.
| x³ x² x¹ x⁰
-3 | 3 0 5 0
| -9
|___________
3 -9
Repeat this process until you've reach the end of the symbol.
| x³ x² x¹ x⁰
-3 | 3 0 5 0
| -9 27 -96
|___________
3 -9 32 -96
The resulting numbers are coefficients, the first three of the quotient, and the last one of the remainder. The remainder is the last coefficient (-96) over the divisor.
(3x^3+5x) / (x+3) = 3² - 9x + 32 + -96 / x + 3
Draw a number line that shows two equivalent fractions.label your number line and explain how you know the fractions are equivalent.
Answers
Which expressions are equal to 6^3 4^1/4^3 HELP ME ASAP PLEASE
Answers
We will be using division property of exponents.
The property is as follows:
[tex] \frac{x^{a}}{x^{b}} =x^{a-b} [/tex]
This means if we have same base in both numerator and denominator, the exponents will get subtracted.
In our question we have
[tex] \frac{4^{1}}{4^{3} } =4^{1-3} [/tex]
[tex] \frac{4^{1}}{4^{3} } =4^{-2} [/tex]
Now we will use another property of exponents here:
[tex] x^{-a} =\frac{1}{x^{a} } [/tex]
So if we take reciprocal of the above expression we will get,
[tex] 4^{-2} =\frac{1}{4^{2} } [/tex]
Rewriting the final answer:
[tex] \frac{6^{3} }{4^{2} } [/tex]
The glass fish tank does not have a cover. Find the total area of the glass panels used to make the tank.
plz help thank you
Answers
1. Front- 24 x 27 =648
Back-24 x 27 = 648
2. Side- 21 x 27 =567
Side - 21 x 27 = 567
3. Bottom - 21 x 24 = 504
Add all these together for your total amount of glass needed. The answer is 2934 square cm of glass.
You are to solve for length x width for the 5 panels that were used for the tank.
24 x 27 = 648
24 x 27 = 648
21 x 27 = 567
21 x 27 = 567
21 x 24 = 504
When you add all areas together, the final answer is 2.934 [tex] cm^{2} [/tex]
what is the answer
solve 4.8+n=6.2
Answers
Now you have n = 1.4
What is the slope of the line in the graph?
Answers
The slope of the line in the given graph with the coordinates (x₁ , y₁ ) = (4, 5) and (x₂ , y₂) = (2, 3) is equal to 1.
The slope of a line is calculated by rise over run.
Here is the formula for calculating the slope of a line:
Slope = (y₂ - y₁) / (x₂ - x₁)
Here, the points (x₁ , y₁ ) = (4, 5) and (x₂ , y₂) = (2, 3) are on the line. Plugging these points into the formula, we get:
Slope
= (3 - 5) / (2 - 4)
= (-2) / (-2)
= 1
Therefore, the slope of the line is 1.
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I am a closed shape made of 6 line segments. I have two angles less than right angle & no right angles. What shape am I?
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need help plz Noah, some one
Answers
The wall measures 6 centimeters
w stands for the actual wall in meters
w = 15 x 6
w = 90
90 meters is your answer for the width
hope this helps
Now just multiply 6 x 1,500 to figure out how many cm the real wall is:
6 x 1,500 = 9,000 so the width of the real wall is 9,000 cm, but they want the answer in m (meters) so just divide 9,000 by 100:
9,000 ÷ 100 = 90 Your answer is 90 m. Hope this was helpful!
A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points L(−7,14) , M(9,14) , and N(9,−12) . Point P is the fourth vertex of the rectangle. How long is the side of the rectangle connecting points L and P?
Answers
Answer:
the answer is 26 units
Step-by-step explanation:
when 80% of a number is added to the number, the result is 252. what is the number
Answers
The Expression: 0.8x + x = 252 Can Explain The Answer If x = 140.
Or: 1.8 Times x = 252 If x = 140.
Jose wants to build a rectangular kennel for his dog. His dad will let him useca spot in the corner of the yard that is 12 feet 3 inches by 8 feet 11 inches, Estimate how much fencing he will need to buy for the kennel.
A. About 21 ft
B. About 33 ft
C. About 42 ft
D. About 84 ft
Answers
Answer:
I correct answer is: C
Step-by-step explanation:
About 42ft
I hope this helps! :)
Plz mark brainliest
3+7x<26 help me with this equaton
Answers
-3 -3
7x < 23
divide by 7 to isolate x (variable)
x< 7/23 final answer
Which of the follow is true about the expression Sqrt 3 * sqrt 2
A) It represents the product of two irrational numbers and is equivalent to a rational number.
b) It represents the product of two irrational numbers and is equivalent to an irrational number.
C) It represents the product of two rational numbers and is equivalent to a rational number.
D)It represents the product of two rational numbers and is equivalent to an irrational number.
Answers
Answer:
A
Step-by-step explanation:
On a winter’s day, 9 degrees Fahrenheit is the highest temperature recorded. Write an inequality that represents the temperature t in degrees Fahrenheit at any time on this day.
Answers
Answer: The inequality that represents the temperature t in degrees Fahrenheit at any time on this day is [tex]t\leq 9[/tex] degree Fahrenheit.
Explanation:
It is given that on a winter’s day, 9 degrees Fahrenheit is the highest temperature recorded. It means the temperature on this day must be less than or equal to 9 degree Fahrenheit.
Let t represents the temperature in degrees Fahrenheit at any time on this day. Then,
[tex]t\leq 9[/tex]
Therefore, the inequality that represents the temperature t in degrees Fahrenheit at any time on this day is [tex]t\leq 9[/tex] degree Fahrenheit.
Answer:
[tex]t\leq 9^{0}F[/tex]
Step-by-step explanation:
We have been given that highest temperature recorded on a winter’s day is 9 degrees Fahrenheit and we are asked to write an inequality that represents the temperature t in degrees Fahrenheit at any time on this day.
Since we know that highest temperature can't exceed 9 degrees Fahrenheit on the given day and it will be less than or equal to 9.
Therefore, our inequality will be,[tex]t\leq 9^{0}F[/tex]
evaluate x - 2y if x = -3 and y = -6
Answers
= -3 - 2(-6)
= - 3 + 12
= 9
Thomas correctly spell 18 out of 20 words on his last spelling quiz. What decimal represent the portion of the rights that Thomas spelled correctly
Answers
I used a rather ghetto way to answer this question.
first, I multiplied 20 by 5 to get it to 100 then I multiplied 18 by the same number (5) and got 90. That makes 90 out of 100 which is 0.90
Final answer:
Thomas spelled 18 out of 20 words correctly, which, when divided, gives us 0.9. This decimal represents the portion of the words he spelled correctly on his quiz.
Explanation:
To find the decimal that represents the portion of words Thomas spelled correctly on his quiz, we follow a simple process of division and conversion to a decimal.
Thomas spelled 18 out of 20 words correctly. So, we divide 18 by 20 which equals 0.9. This is the decimal that represents the portion of words Thomas spelled correctly.
jane wants to fill her circular pool to a depth of 2m.determine the volume of water she needs,to the nearest cubic meter.
Answers
To find the volume of water needed to fill the pool to a depth of 2m, use the formula for the volume of a cylinder.
Explanation:To determine the volume of water needed to fill the circular pool to a depth of 2m, you can use the formula for the volume of a cylinder:
V = πr²h
Given that the pool is circular, h = 2m, and to the nearest cubic meter, you would need:
Volume of water = π( r )²( 2 )
PLEASE HELP
Law of sines:
Which represents the value of c?
Answers
Using the law of sins that is given, you can write the following proportion.
3/sin(40) = c/sin(45)
All you have to do to solve for C is to multiply by sin(45). In the proportion, the letter are the side lengths and the trig ratios are of the angle opposite the side.
[tex] c = \frac{3 \sin(45 \degree)}{\sin(40 \degree)} [/tex]
EXPLANATION
The sum of the interior angles of the given triangle is
[tex]180 \degree[/tex]
This implies that
[tex]A + 95 \degree + 45 \degree = 180 \degree[/tex]
We group like terms to get,
[tex]A = 180 - 140[/tex]
[tex]A = 40 \degree[/tex]
The law of sines is given by,
[tex] \frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c} [/tex]
Based on our known values, we use,
[tex] \frac{ \sin(A) }{a} = \frac{ \sin(C) }{c} [/tex]
We now substitute the values to get,
[tex] \frac{ \sin(40 \degree) }{3} = \frac{ \sin(45 \degree) }{c} [/tex]
We reciprocate both sides of the equation to get,
[tex] \frac{ 3}{\sin(40 \degree)} = \frac{ c }{\sin(45 \degree)} [/tex]
We now multiply both sides by
[tex] \sin(45 \degree) [/tex]
to get,
[tex] \frac{3 \sin(45 \degree)}{\sin(40 \degree)} =c[/tex]
or
[tex] c = \frac{3 \sin(45 \degree)}{\sin(40 \degree)} [/tex]
The correct answer is B.
The circumference of a circle is 6.28 meters. What is the circle's radius?
also how do i know
Answers
C = 6.28
pi = 3.14
r = ?
6.28 = 2(3.14)r
6.28 = 6.28r
r = 1
What is the exact volume of the cylinder?, (a) 54in. (b) 108in. (c) 162in. (d) 324in.
Answers
I followed the formula but why donMt have the answer right here
help me please i dont know how to do all of this ill really appreciate it please
Answers
The expression: [tex]-14c-7(-19c-6)[/tex].
First step: Apply the Distributive Property; it is [tex]a(b + c) = ab + ac[/tex].
[tex]-14c-7(-19c-6)[/tex]
[tex]-14c+133c+42[/tex]
[A negative times a negative equals a positive.]
Next step: Combine like terms.
[tex]-14c+133c+42[/tex]
[tex]119c+42[/tex]
The simplified expression is [tex]119c+42[/tex].
An air freshener starts with 33 grams and evaporates. In each of the following situations define a function that gives the remaining mass of the air freshener (in grams) in terms of the number of days, t t, since the air freshener was first used.
Answers
A) The mass of the air freshener A decreases by 3.2 grams each day. Define a function, f, to represent this situation.
In this function, the mass of the air freshener A (m) is the dependent variable and the days (t) and the initial amount of the air freshener A (mi) are the independent variables. If the mass decreases by a fixed amount each day, you only have to multiply this amount by the number of days:
[tex]m=mi-(3,2*t)[/tex]
B) The mass of the air freshener B decreases by 3.2% each day. Define a function, g, to represent this situation.
This function is trickier since there isn't a fixed amount of decreasing. Instead, the rate of decreasing depends on the initial amount of the freshener (mi). You have to include this initial amount in the equation to correctly model it. This is how you do it:
[tex]m=mi-(mi* \frac{3,2}{100}*t) [/tex]
Have a nice day!
Paul has a piece of wood that is 4 yards long. He knows there are 12 inches in 1 foot, and 3 feet in 1 yard. If there is no wood left over, how many 6-inch pieces can Paul cut from the length of wood? Remember to include units! (Example: 18 6-inch pieces)
Answers
There are 3 ft in a yd.
4 yd = 4 * 3 ft = 12 ft
There are 12 in in a ft.
12 ft = 12 * 12 in = 144 in
The 4-yd length is the same as 144 in length.
To find how many 6 in pieces fit in a 144 in piece, we divide 144 by 6.
(144 in)/(6 in) = 24
Answer: He can cut 24 pieces.
24 Pieces cut from the wood.
What is a simplified Fraction?Simplest form conversion of incorrect fractions to mixed numbers. By reducing to the simplest words and outlining the effort required, this calculator also makes correct fractions simpler. A number that will divide equally into the numerator and denominator so that it may be lowered is required in order to simplify a fraction. To transform a fraction into a mixed number, the numerator must be higher than the denominator (an improper fraction).
Given, Paul has a piece of wood that is 4 yards long. He knows there are 12 inches in 1 foot, and 3 feet in 1 yard. total woods in inches would be,
total inches of wood = 4 yards
total inches of wood = 4 * 3 feet
total inches of wood = 4 * 3* 12 inches
total inches of wood = 144 inches
Given 6-inch pieces cut from the length of the wood. Therefore, the total number of pieces cut from the wood is 144/6 or 24 pieces
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to function properly, rainwater outflow pipe must drop exactly 1 inch for every 25 inches of horizontal distance. A 40 foot long rain water pipe runs under the edge of a roof. What is the vertical distance, in inches, the pipe bust drop between its ends? Round your number to the nearest tenth.
Answers
480 inches / 25 inches = 19.2 Inches dropped.
Answer: Hence, There is vertical distance of 19 inches the pipe must drop between its ends.
Step-by-step explanation:
Since we have given that
Rainwater outflow pipe must drop exactly 1 inch for every 25 inches of horizontal distance.
For 1 inch = 25 inches of vertical distance the pipe must drop.
If there is a 40 foot long rain water pipe runs under the edge of a roof.
Then, we need to find the vertical distance in inches the pope must drop.
First, we change 40 feet into inches.
Since 1 foot = 12 inches
40 feet = 40×12 inches = 480 inches
So, Vertical distance the pipe must drop is given by
[tex]\dfrac{480}{25}\\\\=19.2\ inches[/tex]
Hence, There is vertical distance of 19.2 inches ≈ 19 inches the pipe must drop between its ends.
Solve the recurrence relation for the variables indicated below: bn = 8bn-1 - 15bn-2 b1 = 2 b2 = 16 If the explicit formula for the sequence is written in the form bn = u(s1)n + v(s2)n then find s1 and s2 .
Answers
The recurrence relation is given by bn = 8bn-1 - 15bn-2 with b1 = 2 and b2 = 16.
How to depict the solution?Since it is linear homogeneous recurrence relation ,so first find its characteristic equation.
r² - 8r + 15 = 0
( r - 3 )( r - 5 ) = 0
r = 3 , 5
So, the general solution of the given recurrence relation is
bn = u(3)n + v(5)n ------------ ( 1 )
Now use the initial conditions b1 = 2 and b2 = 16.
From ( 1 ) , b1 = u(3)1 + v(5)1
2 = 3u + 5v ---------- ( 2 )
and b2 = u(3)2 + v(5)2
16 = 9u+ 25v------- ( 3 )
Solving ( 2 ) and ( 3 ) , we get u= - 1 and v = 1
Therefore, the required solution is bn = - (3)n + (5)n
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Ethan is 3 years older than twice his brother Adrian’s age write an expersion to represent Ethan’s age ; if Adrian is 6 how old is Ethan;
Answers
Expression: 6(2)+3
Ethan is 3 years older than twice his brother's age.
6(2)+3
12+3
15
Ethan is 15.
Happy studying!
~SimpleGirl~
2x + 3. Now substitute Adrian's age, 6, into x and solve.
2(6) + 3
12 + 3
15.
If Adrian is 6, then Ethan is 15.
Sophie bikes at a speed of s miles per hour. Her friend Rana is slower, her biking speed is only r miles per hour.
Today the girls went for a 20 miles trip, each girl was biking at her usual speed. How long did Sophie wait for Rana after her own arrival to the finish?
Answers
Answer:
She waited for 20/r-20/s at the end of the line.
Step-by-step explanation:
The solution is, Time Sophie waits for Rana to arrive at finish point
=20/s - 20/r.
What is speed?Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
here, we have,
The speed of Sophie and Rana are given as s miles per hour and r miles per hour.
The distance traveled by Sophie and Rand are 20 miles each.
The time taken by Sophie and Rana to travel 20 miles can be calculated by the formula
Speed =distance/time
Or, Time =distance/speed
Time taken by Sophie to travel 20 miles =20/s
Time taken by Rana to travel 20 miles =20/r
Time Sophie waits for Rana to arrive at finish point =20/s - 20/r
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Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 2 scoops of powdered drink mix with a half a gallon of water to make each pitcher of juice. One of Ms. Albero’s students said she will mix 8 scoops with 2 gallons of water to get 4 pitchers. How can you use the concept of proportion to decide whether the student is correct?
Answers
-----------------------
Multiply by 4
-----------------------
2 x 4 scoops = 1/2 x 4 gallon of water
8 scoops = 2 gallon of water
The student is correct.
As long as the amount of water is proportional to the number of scoops of drink mix, then the second quantity, amount of water, can be determined by multiplying the first quantity by the same constant. In this case, if the amount of powdered drink mix is represented by
Which expression can be simplified by applying the additive inverse property
Answers
We have to identify the expression in which Additive inverse identity is applied.
Additive inverse property states that "The additive inverse of a number 'x' is a number that when it is added to 'x', yields zero".
Consider the first expression,
A. [tex] -329-164+513+206+(-164) [/tex]
There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.
B. [tex] 1.6+0.2-1.8-0.5 [/tex]
There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.
C. [tex] -\frac{7}{10}-\frac{3}{4}+1\frac{1}{2}+(-\frac{7}{10}) [/tex]
There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.
D. [tex] 9\frac{3}{4}\+4\frac{5}{8}+(-9\frac{3}{4}+(2\frac{3}{5}) [/tex]
Here, [tex] 9\frac{3}{4} [/tex] when added to [tex] -9\frac{3}{4} [/tex] will yield zero. Therefore, [tex] -9\frac{3}{4} [/tex] is the additive inverse of [tex] 9\frac{3}{4} [/tex].
So, in option D, Additive inverse property is applied.
Movies are on sale for 14 the original price. If the original price is $20, which expression gives the sale price?
Answers
Answer:
20×1/4
Step-by-step explanation:
Answer:
This is super late but I want to help others who don't know the answer
Step-by-step explanation:
The answer is in the picture.
Thank me later :)