For an apartment, the scale factor of the map is 1/60 and the kitchen's actual width of the is 12 ft wide.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
The balcony of an apartment is 4 feet wide by 7 feet long. On a scale drawing of the apartment, the balcony is 0. 8 inches wide by 1. 4 inches long.
The actual length of the balcony is 7 feet or 84 in (1 ft = 12in), and on scale the length of the balcony is 1.4 in. Thus, the scale factor is,
[tex]r=\dfrac{1.4}{84}\\r=\dfrac{1}{60}[/tex]
Thus, the scale factor is 1/60.
The length of the kitchen is 2.8 in on map. Let L is the actual length of the kitchen. Therefore,
[tex]r=\dfrac{2.8}{L}\\\dfrac{1}{60}=\dfrac{2.8}{L}\\L=168\rm in\\L=14\rm ft[/tex]
The width of the kitchen is 2.4 in on map. Let W is the actual width of the kitchen. Therefore,
[tex]r=\dfrac{2.4}{W}\\\dfrac{1}{60}=\dfrac{2.4}{W}\\W=144\rm in\\W=12\rm ft[/tex]
Thus, For an apartment, the scale factor of the map is 1/60 and the kitchen's actual width of the is 12 ft wide.
Learn more about the scale factor here;
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Answer:its 12 feet i just took the quiz
Step-by-step explanation:
is it 290 or 70 is conjugate angle
What is the distance between (-5, 3) and (-5,-3)?
Anya is saving her allowance to purchase a bike. Anya started her savings with $10 and is saving $5 per week. Let y represent the total amount Anya has saved and x represent the number of weeks Anya has been saving.
Select two points to graph the line.
Question 8 options:
(0, 0) and (15, 10)
(0, 10) and (1, 15)
(0, 15) and (1, 10)
(0, 0) and (10, 15)
Answer: The answer for this question would be answer choice B "(0, 10) and (1, 15)". (0, 10) represents her starting amount and week saved, and (1, 15) would represent her saving for one week and having $15 total.
Hope this helps!
name the types of polynomial expressions
Answer:
➢ Polynomials are algebraic expressions that may comprise of exponents which are added, subtracted or multiplied. Polynomials are of different types. Namely, Monomial, Binomial, and Trinomial.
[tex]#CarryOnLearning[/tex]
what is the equation of a vertical line that passes through (3, -10)
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
A vertical line is always parallel to y - axis, I.e the x - coordinates of the points on the line never changes
Therefore, the equation of the line will be ~
[tex]\qquad \sf \dashrightarrow \: x = 3[/tex]
And on this line, for each value of y, there is same value of x ~
The required equation of a vertical line that passes through (3, -10) is x = 3
Equation of a lineThe equation of a line in point slipe form is expressed as:
y - y1 = m(x-x1)
The equation of a vertical line is given as x = a
The value of a is the x coordinate of the given point. Hence the value of a = 3
The required equation of a vertical line that passes through (3, -10) is x = 3
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On Monday, Tom worked 2 hours and Sylvester worked 3 hours and they made a total of 23 mouse
traps.
On Tuesday, Sylvester worked 6 hours and Garfield worked 4 hours, and they made a total of 30 mouse
traps.
On Wednesday, Garfield worked 3 hours and Heathcliff worked 4 hours, and they made a total of 24
mouse traps.
On Thursday, Heathcliff worked 3 hours and Tom worked 5 hours, and they made a total of 38 mouse
traps.
1.) How many mouse traps per hour does each cat make?
Answer: Tom:4
Sylvester:0
Garfield:5
Health cliff:6
Step-by-step explanation:
Please help, will give Brainiest!
There is a direct proportionality between volume and temperature (in Kelvin) of a gas. The volume of a sample of a gas at 277 Kelvin is 2.1883 L.
Which of the following shows a direct variation equation relating the volume V and the temperature T?
Options:
1. V= 0.0079T
2. V= 126.6T
3. T=606.2V
4. T= 0.0079V
Answer:
2. V= 126.6T4. T= 0.0079VExplanation:
V = kT
[ where k is constant ]
277 = k(2.1883)
k = [tex]\frac{277}{2.1883}[/tex]
k = 126.6
Therefore: V = 126.6TVk = T
277k = 2.1883
k = 2.1883/277
k = [tex]7.9 * 10^{-3}[/tex]
V * [tex]7.9 * 10^{-3}[/tex] = T
T = 0.0079V
Therefore T = 0.0079V
4. Write the equation in standard form. Identify the center and radius.
6x2 +6y2-18x-36=0
equation in standard form:
center:
radius:
Answer :
Center = (1.5,0)
Radius = [tex]\sqrt{8.25}[/tex]
Explanation :
Hi there,
I have attached my answers as images to this answers, please do check it out.
If you found my answer helpful, please mark me as brainliest as that would mean a lot to me. !!
Graph h(x)=2sin(2x)−3.
Use 3.14 for π.
Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.
Answer:
Step-by-step explanation: i took the test.
The first point is ta x= - 3.
The function h(x) has a maximum value.
The graph of the function h(x) is given below.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
h(x) = 2 sin(2x) - 3
The first point is at x = -3.
h'(x) = 4 cos(2x)
h''(x) = -8 sin(2x)
This means,
h(x) has a maximum value on the graph.
The graph of h(x) is given below.
Thus,
h(x) has a maximum value and the graph is given below.
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The projected number of employed writers and authors in 2016 is 153,000. 12. 4% of those will have some college experience but no degree, and 84. 1% will have a bachelor’s degree or higher. If this holds true, how many more writers and authors with bachelor’s degree will there be than those with only some college experience and no degree? a. 147,645 b. 109,701 c. 134,028 d. 128,673 Please select the best answer from the choices provided A B C D.
Number of Writers and authors with bachelor's degree more than those with only some college experience and no degree is Option b: 109701
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For the given case, it is specified that:
Total number of employed writers and authors: 153,000Some college experience but no degree : 12.4%Bachelor's degree or higher : 84.1%Let we have:
writers and authors with bachelor’s degree = N + writers and authors with some college experience and no degree
(so the number of writers and authors with bachelor’s degree is N more than writers and authors with some college experience but no degree)
Number of writers and authors with bachelor's degree = 12.4% of 153000
which is [tex]\dfrac{153000}{100} \times 12.4 = 18972[/tex]
Number of writers and authors with some college experience but no degree = 84.1% of 153,000 which is [tex]\dfrac{153000}{100} \times 84.1 = 128673[/tex]
Thus,
128,673 = N + 18972
or
N = 128,673 - 18972= 109,701
Thus,
Number of Writers and authors with bachelor's degree more than those with only some college experience and no degree is Option b: 109701
Learn more about percentage here:
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Use the given right triangle to find ratios, in reduced form, for sinA, cosA, and tanA.
Answer:
SinA=P/H
CosA=B/H
TanA=P/B
Hypotenuse=85
Perpendicular=13
Base=84
SinA=13/85
CosA=84/85
TanA= 13/84
I think it will help you.
hi who can help me do this question,I will mark brainlest
Answer:
0.889
Step-by-step explanation:
[tex]log \sqrt{60} \\ \\ = log {60}^{ \frac{1}{2} } \\ \\ = \frac{1}{2} log(2 \times 3 \times 10) \\ \\ = \frac{1}{2} \{ log2 + log3 + log10\} \\ \\ = \frac{1}{2} \{0.301 + 0.477 + 1\} \\ (\because log 10 = 1) \\ = \frac{1}{2} (1.778) \\ \\ \huge \red{ \boxed{log \sqrt{60}= 0.889}}[/tex]
Are the triangles similar why or why not?
Answer: No, the triangles are not similar. They aren't even triangles.
Step-by-step explanation: A is a diamond, which cannot be considered a triangle until it is split in half. 8 and 9 would be a triangle if the diamond wouldn't have been there. B and C is a parallelogram.
Francis buys a package of 450 plastic forks. he uses 315 of the plastic forks. What percent of plastic forks did Francis use? show your work.
Bike sprockets and chain.
Which of the following gear ratios will have the highest overall speed?
2.26
2.87
3.5
4.63
Answer:
4.63
Step-by-step explanation:
Answer:
The correct answer is 4.63
Step-by-step explanation:
Have a good day!
Simplify This Equation!
Answer:
The answer is either B or D
Step-by-step explanation:
The thing I dont get is 4 squared over 4 cubed is 1/4.
Niah earns $7. 25 per hour at her part-time job that she works at 18 hours per week. To earn some extra money, Niah helps her friend out with her dog walking service. It is possible to walk more than one dog at a time, and Niah’s friend pays her $9 per dog for each half hour walked. Niah walks dogs on 3 different days this week, as listed below. What is the total amount of earnings Niah had this week? Monday: 3 dogs for 0. 5 hours Wednesday: 2 dogs for 0. 5 hours and 1 dog for 0. 5 hours Thursday: 2 dogs for 1 hour a. $175. 50 b. $195. 75 c. $202. 50 d. $220. 50.
Answer:
The answer is D.
Step-by-step explanation:
The job would give her $130.50 dollars per week. Basically m= 7.25h.
Then, Monday was $27 dollars. Wednesday was $27 as well. Thursday was $36 also. So, we just needed to add this all together. You would get $220.50. So, it would be D!
12. Raul invests $6500 at a simple interest rate of 4%. How much will he earn
after six years?
Pleaseeee helpppp
Answer:
$1,560
Step-by-step explanation:
Interest = Principal x Interest Rate x Time (in years)
I = 6500(.04)(6)
I = 1560
Find the value of each variable. Help asappppp
Step-by-step explanation:
to find u
[tex]cos45 = \frac{y}{20 \sqrt{2} } \\ y = cos45 \times 20 \sqrt{2 } \\ y = 20[/tex]
[tex] {(20 \sqrt{2} )}^{2} - {20}^{2} \\ 800 - 400 = 400 \\ {x}^{2} = 400 \\ x = 20[/tex]
10.3: Areas of Partitioned Rectangles
For each rectangle, write expressions for the length and
width and two expressions for the total area. Record
them in the table.
A
B
C
a
5
6
Х
1 1
3
علما
3
D
E
F
6
8
3x
8
рррр
6
m
5
Answer:
B) Width 1/3, Length 6 + x, Area as a product of width times length 1/3 (6+x), Area as a sum of the areas of smaller rectangles ((1/3) * 6) + 1/3x
C) Width r, Length 1+1+1, Area as a product of width times length r(1+1+1), Area as a sum of the areas of smaller rectangles r1+r1+r1
D) Width 6, Length p+p+p+p, Area as a product of width times length 6(p+p+p+p), Area as a sum of the areas of smaller rectangles 6p+6p+6p+6p
E) Width m, Length 6 + 8, Area as a product of width times length m(6 + 8), Area as a sum of the areas of smaller rectangles m6 + m8
F) Width 5, Length 3x + 8, Area as a product of width times length 5(3x + 8), Area as a sum of the areas of smaller rectangles 5(3x) + (5*8)
Step-by-step explanation:
Area would be the width times length and for the areas as the sum you would just calculate the area of the smaller rectangles and add them.
A teacher wants to find the average (mean) grade on a math test. The gradebook program can provide data about the class as a stem-and-leaf plot or as a box-and-whisker plot. Which plot should she use? Why?
Answer:
Box-and-whisker plot
Step-by-step explanation:
Box-and-whisker plot is a graph commonly used to not only find the mean but find the minimum, maximum, third and first quartile. In order to calculate the mean of a set of data, you have to rearrange the data and the middle number separating one half of the set, from the other half of the set is the mean. Box-and-whisker plot can accurately show the average grade on this math test.
Hope this helps.
The junior class sold boxes of pecans at $6 each and boxes of peanuts at $5 each. They sold a total of 82 boxes for $440. How many boxes of pecans and peanuts did they sell?
I NEED THE EQUATIONS...I can get the number of pecans and peanuts..I just need the equation to find them..please help me
This is Algebra
Answer:
Following are the required equations
[tex]x +y=84[/tex]
[tex]6x +5y=440[/tex]
Step-by-step explanation:
Let x boxes of pecans and y boxes of peanuts sold.
Total no of boxes sold = 84
[tex]\implies x +y=84[/tex]
Cost of one box of pecan =$6
So, cost of x boxes of pecans =$6x
Cost of one box of peanuts = $5
So, cost of y boxes of peanuts =$5y
Total sales = $440
[tex]\implies 6x +5y=440[/tex]
A circular swimming pool has a radius of 28 ft. There is a path all the way around the pool that is 4 ft wide. A fence is going to be built around the outside edge of the pool path. A circle has a radius of 28 feet. A larger circle goes around the smaller circle that is 4 feet wide. About how many feet of fencing are needed to go around the pool path? Use 3. 14 for Pi. 88 ft 100 ft 176 ft 201 ft.
There is 201 feet of fencing are needed to go around the pool path.
Given
A circular swimming pool has a radius of 28 ft.
There is a path all the way around the pool that is 4 ft wide.
A fence is going to be built around the outside edge of the pool path.
A circle has a radius of 28 feet.
A larger circle goes around the smaller circle that is 4 feet wide.
Circumference;For the length of the fence, we need to find the circumference of the outside of the pool path.
The radius of the outer edge of the pool path would be equal to the radius of the pool plus the width of the path.
= 28 + 4 = 32 feet
The radius is then equal to 32 feet.
The circumference of the outer edge of the pool path would be equal to the perimeter;
[tex]\rm Perimeter = 2\pi r[/tex]
Where r is the radius.
Substitute all the values in the formula;
[tex]\rm Perimeter = 2\pi r\\\\\rm Perimeter = 2\times 3.14 \times 32\\\\Perimeter = 201[/tex]
Hence, there is 201 feet of fencing are needed to go around the pool path.
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Answer:
D; 201 is correct
Step-by-step explanation:
Edge
i truly have no idea what i’m doing so some help would be nice lol :D
Answer:
the answer is square because if you put all of these points on to a quadrant it makes a square
Step-by-step explanation:
brainiest please
What is the place value of 9 in 194.6 (full explanation is NOT neccesarry!)
Factor the expression completely. 5x-x^2
Answer:
x(5 - x)
Step-by-step explanation:
5x - x^2
divide by x
x(5 - x)
Round 476,305,821 to the nearest ten million and write it in scientific
notation.
i need some help pls
Answer:
I think the answer is 3.
Step-by-step explanation:
The formula for the volume of a prism is V=Bxh, where B is the base area and h is the height.
Since we know that the volume is equivalent to 48 cubic feet, and the base area is 16 square feet.
We can divide the volume by the base to find the height of the crate.
48÷16=3
I'm not assertive that it is but hopefully, it is correct.
One of the legs of a right triangle measures 12 cm and the other leg measures 9 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
15cm
Step-by-step explanation:
a^2+b^2=c^2
12^2+9^2=c^2
144+81=c^2
c^2=225
c=15
Six times a number is 14 less than the opposite of that number. What is the number?
Answer:
2
Step-by-step explanation:
6 x 2 = 12
12 is less than 14
Question :
Six times a number is 14 less than the opposite of that number. What is the number?Solution :
Let's assume the number as " x "
According to the question :
Six times a number is 14 less than the opposite of that number.We already assumed that the number is x. So, opposite of the number would be -x.
[tex]\qquad \sf \: { \dashrightarrow 6x= - x-14}
[/tex]
Now, let's solve this equation :
[tex]\qquad \sf \: { \dashrightarrow 6x + x= -14}
[/tex]
Combining the like terms :
[tex]\qquad \sf \: { \dashrightarrow 7x = - 14}
[/tex]
Then divide both sides by 7 :
[tex]\qquad \sf \: { \dashrightarrow \dfrac{7x}{7} = - \dfrac{14}{7} }
[/tex]
[tex]\qquad \sf \therefore \: \bf{{ x= -2}}
[/tex]
Therefore, the required number is -2 .