The scale drawing of a porch is 8 inches wide by 12 inches long. If the actual porch is 12 feet wide, find the length of the porch. (Draw and label polygons then solve.)
Answers
Answer: The length of porch is 18 feet.
Step-by-step explanation:
Given: The scale drawing of a porch is 8 inches wide by 12 inches long.
The actual porch is 12 feet wide.
Actual porch and the drawing are similar, then
[tex]\dfrac{\text{Actual length}}{\text{Actual width}}=\dfrac{\text{ length in drawing}}{\text{Width in drawing}}[/tex]
[tex]\Rightarrow\ \dfrac{\text{Actual length}}{12}=\dfrac{12}{8}\\\\\Rightarrow\ \text{Actual length}= \dfrac{12}{8}\times12\\\\\Rightarrow\ \text{Actual length}= 18[/tex]
Hence, the length of porch is 18 feet.
Given that the corresponding sides of similar shapes are proportional, the length of the porch would be calculated as: 18 inches.
What are Similar Shapes?Shapes that are similar have corresponding sides that are proportional to each other.
Thus:
Length of scale drawing = 12 inchesActual length of porch = xWidth of scale drawing = 8 inchesActual width of porch = 12 ftTherefore:
x/12 = 12/8
Cross multiply
8x = (12)(12)
x = 18 inches.
Therefore, given that the corresponding sides of similar shapes are proportional, the length of the porch would be calculated as: 18 inches.
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Related Questions
work out the equation of the line which has a gradient of 2 and passes through the point (1,4)
please answer quick
i will mark you brainiest
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gradient is 2
Step-by-step explanation:
hhhhhhhhfhdd
whos prettier? doja cat or megan thee stallion
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Answer:
The Stallion
Step-by-step explanation:
Answer:
megan thee stallion
Step-by-step explanation:
Imagine that you live near a skatepark. As part of some park renovations, the city plans to make the square skatepark 5 meters shorter in one direction and 6 meters longer in the other. What is the area of the new skatepark?
(please include the solving steps in your answer)
Answers
Answer:
x² + x - 30Step-by-step explanation:
Let the initial side be x
New skatepark has dimensions:
x - 5 and x + 6Its area is:
(x - 5)(x + 6) = x² + 6x - 5x - 30 = x² + x - 30If the length of leg x is 12 feet, what is the length in feet of the hypotenuse of each triangle? Record your answer in the boxes below. Be sure to use the correct place value .
Answers
Answer:15.00
Step-by-step explanation:
Answer:
The length of the hypotenuse of each triangle is 13 feet. Below is the explanation
Step-by-step explanation:
Given:
In the middle, there is a square with 10 ft as the side length.
An Isosceles triangle formed on each side of the square which height as 12 feet.
To find:
The hypotenuse measure of the right triangle.
Let's use the Pythagoras theorem to find hypotenuse measures.
I'll attach the file to find the hypotenuse measure.
Hypotenuse measures 13 feet.
You can learn more:
https://brainly.com/question/20545047
find the length of the altitude drawn to the hypotenuse.the triangle is not drawn to scale
Answers
Answer:
4√5
Step-by-step explanation:
Let's call it x
According to Euclidean theorem x^2 = 5×16
x^2= 80 and
x = 4√5
Need help again ASAP
Answers
Answer:
According to my calculator, the answer should be A) 5/6
free branliest and points question is so easy :) :) :) :) :) :) :) :) :) :):| :) :) :) :) :) :) :P Ryan is shopping for barrels of concrete. After looking at different stores, he decides to purchase them from Construction and Us. The cost of their concrete barrels is listed in the table below:
Answers
Answer:
$23 per bag
Step-by-step explanation:
Ryan Is shopping for barrels of concrete
After looking at different stores he decides to purchase at construction and Us
Therefore the price of a bag can be calculated as follows
= 46/2
= 23
Hence the price of a bag is $23
Answer:
$23 per bag
Step-by-step explanation:
i got this frm the previous answer but im trying to stock up on points since i have alot of test coming up </3
18 erasers cost $0.90, how much would 3 erasers cost?
Answers
Answer:
$0.15
Step-by-step explanation:
0.90/18=0.05
0.05x 3=0.15
Answer:
$0.15
Step-by-step explanation:
0.90/18=0.05
0.05x 3=0.15
Part 1: Check your work now. Use the substitution
method to check when h= 5 will it make this equation
true?
8h + 5 = 6h + 15
Part 2: How much money do both Diego and Jazzy
make after working 5 hours? (Write in complete
sentences)
Answers
Answer:
For part 1, it is true.
2h = 5 x 2 = 10
5 + 10 = 15
For part 2, I don't what your referring to, is it the 8h + 5 = 6h + 15?
Answer:
8h +5=6h+15
8 x 5 + 5= 6 x 5 +15
35= 50
= 35/50
= 7/10
Use the distributive property to simplify the expression and then evaluate. Let x= 4 and y= -2
-6(-2x + 3y + 8)
Answers
Answer:
12v-18y-48
Step-by-step explanation:
-6(-2v+3y+8)
12v-18y-48
Which graph represents the function f(x)=-|x|-2?
Answers
Answer:
ind the absolute value vertex. In this case, the vertex for y=−|x|−2 is (0,−2).
(0,−2)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)
Set-Builder Notation: {x|x ∈ R}
For each x value, there is one y value. Select few x values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.
x y
−2 −4
−1 −3
0 −2
1 −3
2 −4
Step-by-step explanation:
Answer:
The answer is C.
I hope this helps you!
please PlEaSe PLEASE SOLVE THIS!!!! I REALLY NEED HELP ON THIS. In ABC, m
Answers
Answer:
sorry, but there is nothing to answer here :(
Step-by-step explanation:
Answer:
in abc, M???
Step-by-step explanation:
Petra’s electricity supply company charges her a fixed quarterly sum plus a rate per unit for electricity used. In the most expensive quarter last year (January to March), she used 2 000 units and her bill was $250. In the least expensive quarter (July to September), she used 600 units and her bill was $138. She is now adding extra insulation to her home which is expected to reduce her overall electricity consumption by 25%. What can she expect her January to March bill to be next year (if there are no increases in overall tariffs)? *
Answers
Answer:
$210
Step-by-step explanation:
(January - March) charge last year :
Unit consumed = 2000
Bill = $250
(July - September) charge last year:
Unit consumed = 600 units
Bill = $138
Billing :
Fixed charge + rate per unit ;
Let fixed charge = c ; rate per unit = m
Billing can be represented by the equation :
mx + c = y
x = unit consumed ; y = total charge
Expensive quarter:
2000x + c = 250 - - - (1)
Least expensive quarter:
600x + c = 138 - - - (2)
From (2)
c = 138 - 600x ; plug into (1)
2000x + 138 - 600x = 250
1400x = 250 - 138
1400x = 112
x = 0.08
0.08 = x = rate per unit
From ; c = 138 - 600x
c = 138 - 600(0.08)
c = 90
Fixed charge = 90
Billing equation :
y = 0.08x + 90
If insulation will reduce unit consumption by 25%
Then, consumption in most expensive quarter will be :
(100 - 25)% * 2000
0.75 * 2000 = 1500 units
Charge will be :
(0.08*1500) + 90
= $210
Help me please I realy need help
Answers
Answer:
sry i cant help u and your jumping horses
Step-by-step explanation:
I need help with a math problem
Answers
$213 ski jacket with a 30% discount and a 6% tax
Answers
Take the discount off first, 213*.70=149.10, then multiply 149.10*1.06= $158.046
158.04$.
What is discount?A discount is a decrease in the cost of a commodity or service. If the item is broken, you can ask the manager for a discount.
Given the Written price of the ski jacket is 213$ on that there is a discount of 30% and 6% of tax. Hence,
discounted price of jacket = 213 (1- 30%)
discounted price of jacket = 149 approx.
Total price of the jacket after-tax = 149 (1 + 6%)
The total price of the jacket after-tax = 158.04$
Therefore, the price of a $213 ski jacket with a 30% discount and a 6% tax is 158.04$.
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what is the slope of the line containing points (1,-3) and (4,2)
Answers
Answer:
5/3 is the slope
Step-by-step explanation:
please help all of it, tysm
Answers
2. 0.001
3. Email, Chores, homework
As in email the least and homework the most
4. The least portion of the class is the amount of people that walk to school. The 18% of people is the least.
5. Work: the number of pets people have is LESS than the number of people on a sports team
6. It is LESS than the portion of students that don’t live within a mile radius, for 11/50 is equivalent to 22% and 100-22 is equivalent to 78. 78% don’t live within a mile. So the answer is LESS.
7. 60
8. 0.8 which is 80%
9. 4
10. 12.8
The last four problems are up to you, it was a bit difficult for me
Calvin is planning to go snow skiing. He went shopping for a jacket. The jacket was
originally priced at $90 and was on sale 50% off. What is the price of the jacket now?
O A. $30.00
O B. $60.00
O C. $75.00
O D. $45.00
Answers
90*.50=45
90-45=45
Answer:
D. $45.00
Step-by-step explanation:
Half of $90.00
Write and simplify this numerical expression. Forty-two divided by seven plus the quantity three divided by six 1. Write the numerical expression. 2. Evaluate within parentheses. 3. There are no exponents to evaluate. 4. Multiply and divide from left to right. 5. Add and subtract from left to right.
Answers
The write and simplification of the numerical expression is as follows:
The calculation is as follows;1. Write the numerical expression.
[tex]42 \div 7 + (3 \div 6)[/tex]
2. Evaluate within parentheses.
[tex]42 \div 7 + 0.5[/tex]
3. There are no exponents to evaluate.
4. Multiply and divide from left to right.
[tex]6 + 0.5[/tex]
5. Add and subtract from left to right.
6.5
Learn more: https://brainly.com/question/1301963?referrer=searchResults
Answer:
6.5
Step-by-step explanation:
A)distributive property of multiplication over subtraction
B)subtraction property of equality
C)associative property of multiplication
D)multiplication property of equality
Answers
Answer: sup brendalys it’s me Timotheus
Step-by-step explanation:
The answer is c I think
guys I'm stuck plz help!!!!
Answers
Answer:
I believe 70
Step-by-step explanation:
What is a decimal that is equivalent to the fraction 6/10
Answers
Answer:
0.60 or 0.6
Step-by-step explanation:
To convert you devide the two 6/10 is 0.6
0.6 is a decimal that is equivalent to the fraction 6/10
What is Number system?A number system is defined as a system of writing to express numbers.
A fraction represents a part of a whole.
The given fraction is 6/10.
The fraction is six by ten
In the given fraction is six and denominator is ten.
We need to convert 6/10 to the decimal which is equivalent.
10 is the divisor and 6 is the dividend.
6/10=0.60
Six by ten equal to zero point six
Hence, 0.6 is a decimal that is equivalent to the fraction 6/10
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The diagram shows two congruent equilateral triangles whose overlap is a hexagon. The areas of the smaller triangles, which are also equilateral, are 1 , 1 , 9 , 9 , 16 and 16 , as shown. What is the area of the inner hexagon?
Answers
Answer:
Step-by-step explanation:
Answer:
38
Step-by-step explanation:
Which expression correctly sets up the quadratic formula with x^2+1=2x-3
Answers
Given:
The quadratic equation is
[tex]x^2+1=2x-3[/tex]
To find:
The expression that correctly sets up the quadratic formula with the given equation.
Solution:
We have,
[tex]x^2+1=2x-3[/tex]
[tex]x^2+1-2x+3=0[/tex]
[tex]x^2-2x+4=0[/tex]
On comparing with [tex]ax^2+bx+c=0[/tex], we get
[tex]a=1,b=-2,c=4[/tex]
The quadratic formula is
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Putting [tex]a=1,b=-2,c=4[/tex], we get
[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}[/tex]
Therefore, the required expression is [tex]\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}[/tex].
10. How much interest will be earned in 4 years
from $2,450 placed in a savings account at 62 %
simple interest?
Answers
Answer:
$6100.80
Step-by-step explanation:
drag the numbers to the boxes to order them from least to greatest value
Answers
Answer:
what numbers?
Step-by-step explanation:
The sum is 12. The difference is 5
Answers
68.8 rounded to one decimal place is ?
Answers
Answer:
68.8
Step-by-step explanation:
rounding to one decimal place is the same as rounding to the nearest tenth (see attached for reference).
In this case, 68.8 is already expressed as a number with one decimal place. No further manipulation is needed.
The perimeter of a triangle is 120. If the ratio of the triangle's side is 4:5:6, what is the length of the shortest side?
Answers
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