I need help... please...
A scale drawing of a kitchen is shown below. The scale is 1 : 20.
Show your work to determine the area of the room in square feet.
Answers
so the 4X5 room is actual 4(20)X5(20)
80X100
Area = 80X100
Area = 8000 square inches.
It wants square feet though.
For that you simply divide by 144 (since there are 12 inches in a foot for length and 12 inches in a foot for width).
8000/144= 55.55 Square Feet
You could also covert inches to feet before calculating area
Remember it was 80inchesX100inches
80/12=6.66feet
100/12=8.33feet
6.66X8.33= 55.55 square feet
Works both ways.
scale of 1:20 means for every 1 inch on the drawing it is 20 inches in real life
5 inches * 20 = 100 inches = 8.33 feet
4 inches *20 = 80 inches = 6.67 feet
8.33 * 6.67 = 55.56 square feet
Related Questions
Which gas is plotted using the y-axis on the right?
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find the perimeter of ABC with vertices A (1,1), B (7,1), and C (1,9)
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Answer:
24 unit
Step-by-step explanation:
Given,
The vertices of the triangle ABC are,
A (1,1), B (7,1), and C (1,9),
By the distance formula,
[tex]AB=\sqrt{(7-1)^2+(1-1)^2}=\sqrt{6^2}=6\text{ unit}[/tex]
[tex]BC=\sqrt{(1-7)^2+(9-1)^2}=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10\text{ unit}[/tex]
[tex]CA=\sqrt{(1-1)^2+(1-9)^2}=\sqrt{8^2}=8\text{ unit}[/tex]
Thus, the perimeter of the triangle ABC = AB + BC + CA = 6 + 10 + 8 = 24 unit
Karli's shadow is 60 inches long. A nearby fire hydrant casts a shadow 40 inches long. If Karli is 48 inches tall, what is the height of the fire hydrant?
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Suppose a coin is tossed 12 times and there are three heads and nine tails. how many such sequences are there in which there are at least five tails in a row?
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If the sum of six consecutive even integers is 390 what is the smallest of the six integers
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first because we dont know the values of the 6 numbers we have to lay it out like this.
x
x+2
x+4
x+6
x+8
x+10
-------- (then we add it together)
6x+30 = 390 (the sum of the 6 numbers)
using this equation we find out what x is
so we do 390-30 to find what 6x is, which is 360
because now we know that 6x=360, we divide 360 by 6 to find out what x is
360 divided by 6 =60..... x = 60
so now we know that the smallest integer is 60
to check the answer we could add the 6 numbers which are:
60+62+64+66+68+70=390 :)
so the smallest integer is 60
Approximately 55% of the 750 pupil student body voted for Suresh for student body president. How many students voted for him?
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Find the measures of an angle and its complement if one angle measures 24 degrees
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Explanation.
Complementary angles add up to 90 degrees.
Because one angle is 24 degrees, the other angle is
90 - 24 = 66 degrees.
Using the formula for volume of a cone, express r in terms of V, h and pi
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The volume of the cone is one-third of the volume of the cylinder which is equal to the product of area of the base and the height. The equation is,
V = (1/3)(pi)(r^2)h
Dividing both sides of the equation by (1/3)(pi)(h) will give us,
3V/(pi)(h) = r^2
Taking the square-root of both sides,
r = sqrt(3V/(pi)(h))
Answer:
[tex]r = \sqrt{\displaystyle\frac{3V}{h\pi}}[/tex]
Step-by-step explanation:
We are given the following information in the question.
Using the formula for volume of cone, we have to express r in terms of V, h and pi.
Formula:
[tex]\text{Volume of cone, V} = \displaystyle\frac{1}{3}\pi r^2 h\\\\\text{where r is the radius of cone, h is the height of radius}[/tex]
Now, we have to evaluate r, the radius of cone.
Rearranging the terms, we have,
Working:
[tex]V = \displaystyle\frac{1}{3}\pi r^2 h\\\\r^2 = \frac{3\times V}{\pi\times h}\\\\r^2 = \frac{3V}{h\pi}\\\\r = \sqrt{\frac{3V}{h\pi}}[/tex].
Thus, r in form of V, h and pi can be written as:
[tex]r = \sqrt{\displaystyle\frac{3V}{h\pi}}[/tex]
divide using synthetic division (2x^3 + 14x^2 - 58x) / (x + 10) 58 POINTS!!!!
Answers
-20 -60
2 -6 -118
So it's 2x^2 -6x The remainer is -118
Set x + 10 = 0
So that's how I get -10
I then multiplied -10 x 2 to get -20 and placed it below 14. -20 + 14 is -6. -6 x -10 is -60. -58 + -60 is -118. 2 remains the same since you didn't do anything with.
Since you started with 2x^3 and this is division, you immediately know the first term will start with x^2 so that's how I get 2x^2. The ending number, in this case -118, is always the remainder.
Prove algebraically that the difference between the squares of any two consecutive integers is equal to the sum of these two integers.
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Then, the consecutive integer (the number that follows) should be x+1.
The statement wants us to prove;
(x+1)²-x²=x+(x+1) <-- solve left hand side
x²+x+x+1²-x²
2x+1 (solution for left hand side)
Now solve for right hand side.
x+(x+1)= 2x+1
As noticed, the LHS=RHS (left hand side= right hand side), therefore, the difference of squared consecutive numbers subtracted is equal to the sum of the two integers.
Hope I helped :)
Solve 81^x = 27^x+2
X=1
X=2
X=5
X=6
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what times what equals 108
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12 times 9 = 108, 18 times 6 = 108, 27 times 4 = 108 and 36 times 3 = 108.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number.
Given that, what times what equals 108,
Below is a list of all the different ways that what times what equals 108.
12 times 9 equals 108
18 times 6 equals 108
27 times 4 equals 108
36 times 3 equals 108
54 times 2 equals 108
108 times 1 equal 108
Hence, 12 x 9 = 108. 18 x 6 = 108. 27 x 4 = 108. 36 x 3 = 108.
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There are multiple pairs of numbers that multiply to 108, such as 1 × 108, 2 × 54, 3 × 36, 4 × 27, 6 × 18, and 9 × 12. Therefore, any pair of these factors will correctly answer the question.
To determine what times what equals 108, we need to identify the factors of 108.
1 × 108 = 108
2 × 54 = 108
3 × 36 = 108
4 × 27 = 108
6 × 18 = 108
9 × 12 = 108
There are multiple pairs of numbers that, when multiplied together, equal 108. Therefore, any of these factor pairs are valid answers to the question.
For example, 9 times 12 or 6 times 18 are pairs that satisfy this condition.
how do i factor x^3+3x^2
Answers
[tex]x^3+3x^2=x^2(x+3)[/tex]
For some stuff like this, you can simplify it then you would factorize it. However, we can't do that for this one because this one doesn't have any like terms.
So, we just need to use our intelligence to find out the factorization form.
So we have:
x^3 + 3x^2
= x^2(x + 3)
Best of luck with your studies, Victoria.
After 2 months of living at his new apartment, Henry had 2 cats. Six months later, Henry still had 2 cats. Which of the graphs below models Henry's cat population?
I know it is just a straight line but I need to know if its horizontal or vertical..
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Since the time keeps increasing but the number if cats do not, I would think that it is a horizontal line.
Hope this helps!
Your fortune is "404 error : Fortune not found. Would you like to try again?"
Answer:
The graph with the horizontal line.
A bakery has prepared 320 ounces of bread dough. a machine will cut the dough into a loaf. the amount of d dough left after m minutes is given by the function d (m)=-5m+320. how many minutes will it take the machine to use all the dough? find a reasonable domain and range for this situation.
Answers
A. how many minutes will it take the machine to use all the dough?
We are given the formula:
d (m) = - 5 m + 320
To find for the value of m when all dough is used, we set d (m) = 0:
0 = - 5 m + 320
m = 320 / 5
m = 64 minutes
B. The domain is time and time can never be negative so it always starts at zero, so at time = 0, the range d (m) is:
d (m) = - 5 (0) + 320
d (m) = 320
The other domain and range is already described in (A.), when all dough is used up.
So the pair of reasonable domain and range is:
(0, 320), (64, 0)
∠E∠E and ∠F∠F are vertical angles with m∠E=9x+12m∠E=9x+12 and m∠F=3x+24m∠F=3x+24 .
What is the value of x?
Answers
Since ∠E and ∠F are vertical angles, they are congruent, meaning that m∠E = m∠F
Plugging in the equations that were originally given, we can form the equation 9x + 12 = 3x + 24
Subtract both sides of the equation by 3x
6x + 12 = 24
Subtract 12 from both sides
6x = 12
Divide both sides by 6
x = 2
This should be your answer. Have an awesome day! :)
What key would you use is 10 students chose cartoons
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which graph represents a circle with equation x2 + y2 = 9
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x^2+y^2=r^2
where r^2 is the radius squared.
Looking at your equation, x^2+y^2=9, the radius is 3 (sqrt of 9 is 3)
Therefore, the graph B would be correct since the radius of the circle at all points is 3.
Hope I helped :)
Answer: The correct option is (B). Its image is attached below.
Step-by-step explanation: We are given to select the graph that represents the circle with equation as follows:
[tex]x^2+y^2=9~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that the standard equation of a circle with center at the point (h, k) and radius r units is given by
[tex](x-h)^2+(y-k)^2=r^2.[/tex]
From equation (i), we have
[tex]x^2+y^2=9\\\\\Rightarrow(x-0)^2+(y-0)^2=3^2.[/tex]
Comparing the above equation with the standard equation of a circle, we get
Center, (h, k) = (0, 0) and radius, r = 3 units.
We draw the graph of the circle with center at the origin (0, 0) and radius 3 units in the attached figure below.
We see that the graph of the circle is same as the one provided in option (B).
Thus, option (B) is CORRECT.
Elizabeth bought 4 drinks and some nachos. The nachos cost $6, and she spent a total of $18. How much did each drink cost? Use d to represent the cost of each drink. A. ; each drink cost $4. B. ; each drink cost $6. C. ; each drink cost $2. D. ; each drink cost $3.
Answers
Answer:
D. ; each drink cost $3
Step-by-step explanation:
Given that Elizabeth bought 4 drinks and some nachos.
Total amount spent = [tex]18[/tex]$
She can buy only in integers the drinks i.e.1,2,or 3
Nachos also she can buy 1,2...
If x is the no of nachos and d the cost of drink, we get
[tex]6x+4d=18[/tex]
If x=1, d =3
x=2, d = 1.50
d=3, d=0 (which is not possible)
Hence d can take values either as 3 or 1.50
Out of the options given 3 is only there.
D. ; each drink cost $3
Assume that you own a ruby. Apply the law of detachment to the following conditional statement:
If you have a ruby, then it you have at least $1000.
Which of these statements is true, according to the law of detachment?
You have a ruby.
Someone buys the ruby for $1000.
You sell the ruby.
You have at least $1000.
Answers
The statement fourth "You have at least $1000" is correct if you have a ruby, then it you have at least $1000.
What is the law of syllogism?Legal syllogism is a legitimate concept that deals with the law and how it is applied, specifically a type of argument that uses deductive reasoning to determine whether a given act is legal.
We have:
Assume that you own a ruby. Apply the law of detachment to the following conditional statement:
The statement is:
If you have a ruby, then it you have at least $1000.
As we know, the law of detachment, we must let go of attachment to both the desired end and all possible routes to get there in order to actualize our wants.
Thus, the statement fourth "You have at least $1000" is correct if you have a ruby, then it you have at least $1000.
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Given the statement 'If you have a ruby, then you have at least $1000.' and the fact that you have a ruby, the Law of Detachment leads to the conclusion 'You have at least $1000.'
Explanation:The Law of Detachment (also known as Modus Ponens) in logic says that if a conditional statement ('if p then q') is true and the first part of the statement (p) is true, then the second part of the statement (q) is true. Let's apply it to your statement.
The original statement is 'If you have a ruby, then you have at least $1000.' You confirmed the first part 'You have a ruby.' So, according to the Law of Detachment, the resulting correct statement would be 'You have at least $1000.' The other statements about selling or someone buying the ruby are irrelevant to the Law of Detachment.
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Solve 6e^(x)-4e^(-x)=5. Solve for x and please describe how you got your answer.
Answers
For the given equation 6eˣ-4e⁻ˣ=5 the value obtained after solving the equation will be x =0.29.
What is an exponential function?It is defined as a function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x, where a is a constant and a>1
It is given that,
6eˣ-4e⁻ˣ=5
Multiplying complete equation by eˣ
eˣ(6eˣ-4e⁻ˣ)=5(eˣ)
6(eˣ)(eˣ) - 4(e⁻ˣ)(eˣ) =5(eˣ)
6e²ˣ-4 = 5(eˣ)
6e²ˣ-5eˣ -4 = 0
Suppose y = eˣ
6y² - 5y -4 = 0
After solving the equation we get y = 4/3 and y = -1 / 2.As a result,
eˣ = 4/3
x = log(4/3)
x = 0.29
Thus, for the given equation 6eˣ-4e⁻ˣ=5 the value obtained after solving the equation will be x =0.29.
Learn more about the exponential function here:
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Maria started with $10. She has been saving $3 dollars each week to buy a softball bat. The amount of money Maria has depends on how many weeks she has been saving. Which expression represents Maria after x weeks?
A) f(x) = 10x + 3
B) f(x) = 3x + 10
C) f(x) = 10x - 3
D) f(x) = 3x - 10
Answers
algebra- you make a large pot of soup. You freeze the soup in small and medium containers. A small container holds 4 ounces and a medium container holds 6 ounces. The soup can fill 6 small containers and 10 medium containers.
A.Write an equation in standard form that models the possible combinations of small and medium containers that the soup can fill.
B. Graph the equation from part (a)
C. Find four possible combination.
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A. Let us say that:
s = number of small containers
m = number of medium containers
From the given data, the total volume of soup is:
total soup = 4 ounces * 6 + 6 ounces * 10 = 84 ounces
So the equation is:
4s + 6m = 84
B. We rewrite the equation explicit to one variable, here we choose s:
4s = 84 – 6m
s = 21 – 1.5m
Then we assign several values for m starting at 0 to get the corresponding value of s then plot the graph. See the graph attached.
C. From the graph, we choose the pair of s and m that are whole numbers. The four possible combinations are:
21 small containers, 0 medium containers
15 small containers, 4 medium containers
9 small containers, 8 medium containers
3 small containers, 12 medium containers
?/48=7/8 what is the numerator
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Find the distance between A (0,1) and B (-4,6) to the nearest tenth
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(0,1)...x1 = 0 and y1 = 1
(-4,6)...x2 = -4 and y2 = 6
now we sub
d = sqrt (( -4 - 0)^2 + (6 - 1)^2)
d = sqrt ((-4^2) + (5^2))
d = sqrt (16 + 25)
d = sqrt 41
d = 6.4 <===
twenty-two pencils cost $0.60 less than $5 what is the cost per pencil?
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4.40/22=0.2.
So the cost per pencil is 0.2 or 20 cents!
Check: 0.2*22=4.4
Hope this helps!
Can u plz mark me as brainliest? I really need it!
what 3 digits are in the ones/units period 4,083,817
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digit 8 is in the hundreds place, digit 1 is in the tens place, and digit 7 is in the ones or units place.
Brainest Answer is appreciated.
use the image above to write a conjecture about regular polygons and lines of symmetry
Answers
Where, n = number of sides of the regular polygone
1) Triangle
n =3
So, Conjecture of the triangle = [tex] \frac{360}{3} [/tex] = 120
2) Square
n =4
So, Conjecture of the square = [tex] \frac{360}{4} [/tex] = 90
3) Pentagone
n = 5
So, Conjecture of the pentagon = [tex] \frac{360}{5} [/tex] = 72
4) Hexagone
n = 6
So, Conjecture of the pentagon = [tex] \frac{360}{6} [/tex] = 60.
Isa's calculator displays a number as 7.3579 E8. What is this number in standard form? Enter your answer in the box.
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7.3579 x 10⁸ in standard form.
Answer: 7.3579 x 10⁸.
An auditor performs attribute sampling to test for proper cancellation of payment vouchers. in a sample population of 100, two vouchers are missing the proper cancellation, while one simply cannot be located. the error rate of the sample is