The perimeter of the smaller triangle is 3m.
What is a perimeter of a triangle?
The total of a triangle's three sides is the perimeter. The Greek words "peri" (which means around) and "metron," which means measure, are combined to get the English word perimeter. The perimeter of any 2D shape is the total distance encircling it. Since a shape's perimeter indicates how long its boundary is, it is stated in linear units.
Here,
The ratio of given perimeters is 1:3 so the ratio of their sides and their altitudes will also be in the ratio of 1:3.
The ratio of the areas is 1^2/3^2=1/9. (ratio of their sides: a/b, ratio of their areas: a^2/b^2)
Now, we have 1/9=A/27
where A = area of the smaller triangle
Now, cross-multiply the given quantity
1*27=9*A
27=9A
A=27/9
A=3 m is the area of the smaller triangle.
Hence, the perimeter of the smaller triangle is 3m.
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A hopper bought a watermelon,a pack of napkin,and ome paper plate. In hi tate, there i no tax on food. The tax rate on non-food item i 15 percent. The total for the three item he bought wa $8. 25 before tax, and he paid $0. 19 in tax. How much did the watermelon cot?
The shopper bought a watermelon costing $4.45.
Let x represent the cost of watermelon
y = cost of napkin + cost of paper plates
The tax rate on non-food items is 5%, hence:
5% of y = 0.19
0.05y = 0.19
y = $3.8
The total for the three items he bought was $8.25 before tax,
x + y = 8.25
x + 3.80 = 8.25
x = 4.45
The shopper bought a watermelon costing $4.45.
A tax is a compulsory monetary charge or a few other sorts of levy imposed on a taxpayer (a man or woman or criminal entity) by using a governmental agency if you want to fund authorities' spending and numerous public expenses (regional, neighborhood, or countrywide), and tax compliance refers to coverage movements and character behavior geared toward making sure that taxpayers are paying the right amount of tax on the proper time and securing the right tax allowances and tax reliefs. the first known taxation passed off in historical Egypt around 3000–2800 BC. A failure to pay in a well-timed way (non-compliance), together with evasion of or resistance to taxation, is punishable by means of regulation. Taxes consist of direct or oblique taxes and may be paid in cash or as its labor equivalent.
Maximum nations have a tax system in the region, so as to pay for public, common societal, or agreed-on country-wide needs and for the capabilities of the presidency. a few levies a flat percentage rate of taxation on private annual profits, however, maximum scale taxes are modern and based on brackets of annual earnings amounts. most nations charge a tax on a character's profits as well as on corporate earnings. nations or subunits regularly additionally impose wealth taxes, inheritance taxes, estate taxes, gift taxes, property taxes, sales taxes, use taxes, payroll taxes, duties, and/or tariffs.
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betty can mow a lawn in 120 minutes. bullwinkle can mow the same lawn in 40 minutes. how long does it take for both betty and bullwinkle to mow the lawn if they are working together?
Using the Work time problem solving technic, Betty and Bullwinkle to mow the entire lawn in 30 minutes if they are working together.
As we know that if A is complete the work of z in x days and B is complete the same work (z) in y days then both of can do complete work together then Equation of both A and B are completing work (z) together in
( 1/x + 1/y = 1/z ) days
Since Betty can mow a lawn is 120 minutes, then
Betty's mowing rate is 1/120th of a lanw per minute.
Since Bullwinkle can mow a lawn is 40 minutes, then Bullwinkle mowing rate is 1/40th of a lawn per minute.
Suppose working together they can a lawn in x minutes.
both together they can mow a lawn is x minutes, then their combined mowing rate is 1/x th of a lawn per minute.
To get the equation,
the sum of their mowing rates must equal their combined mowing rate,
1/40 + 1/120 = 1/x
Solve that by multiplying through by LCD of 40 and 120 is 120 then 4x = 120 => x = 30
Hence, when both are working together they complete the work together in 30 minutes .
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If one or more data items are much greater than the other items, the mean, rather than the median, is more representative of the data.
a. True
b. False
The given statement is FALSE.
If one or more data items are much greater than the other items, the median, rather than the mean, is more representative of the data.
When one or more data items are much greater than the other items, these extreme values can greatly influence the mean.
When you have a skewed distribution, the median is a better measure of central tendency than the mean
The median and mean can only have one value for a given data set. The mode can have more than one value
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Coupon B: 30% off of $63 shoes
During a session, a senate had a total of 112 Democrats and Republicans. There were 4 fewer Democrats than Republicans. How many members of each party were there?
Answer:
There are 54 Republicans, and 58 Democrats
Step-by-step explanation:
See the attached image
A biker cycles 9 miles in 2/3 of an hour. Make a chart and fill it in to show how far he will bike if he maintains the same pace for 2 hours 3 hours and 3.5 hours
Answer:
27 miles, 40.5 miles, and 47.25 miles
Step-by-step explanation:
9 miles in 2/3 hours. To get to a whole number, we can multiply by the reciprocal of 2/3, which is 3/2. 2/3*3/2=1. Now lets multiply 9 by 3/2. 9*3/2=13.5
We now have a unit rate which is 13.5 miles each hour.
Now lets solve for 2 hours.
13.5*2= 27 miles
Now lets solve for 3 hours.
13.5*3=40.5 miles
Now lets solve for 3.5
13.5*3.5= 47.25 miles
Which is greater 10*4mg or 13g
Answer: 13g
Step-by-step explanation: because each gram is 1000 milligrams
Write an equation of the line with the given slope and y-intercept
slope : 2/5
y-intercept : 0
[tex]y = \cfrac{2}{5}x + 0\implies y=\cfrac{2}{5}x\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Joel earns a commission of 5% on the audio equipment he sells, and the store keeps the rest. He sells a $750 amplifier.
(b) How much does the store keep?
Answer:
$712.50
Step-by-step explanation:
.95(750) = 712.5 If they give 5% to the seller, they get to keep 95%
30 MINS PLS HELP ASAP
The values of m<4 and m<6 are 160° and 20° respectively
How to find the value of m<4 and m<6?
To solve this problem, we need some angle geometry knowledge:
Given that: m<6 = 1/8 m<4
Since m<6 = 1/8 m<4. Thus, m<4 = 8.m<6
m<6+ m<4 = m<6 + 8.m<6 = 9.m<6 (Algebra)
m<6+ 8.m<__ = 180° will be:
m<6+ 8.m<6 = 180°
Note: m<6 + m<5 = 180° (angles on a straight line) and m<5 = m<6 (alternate angles)
m<6+ 8.m<6 = 180°
9.m<6 = 180°
m<6 = 180/9 = 20°
m<4 = 8 x m<6
m<4 = 8 x 20° = 160°
Therefore, the values of m<4 = 160° and m<6 = 20°
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147,21,3 Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
The sequence is geometric and the common ratio is 1/7
How to determine if the sequence is arithmetic or geometric?An arithmetic sequence is a sequence of numbers in which each differs from the preceding one by a constant value e.g 2, 4, 6, etc. That is: 6-4 = 4-2 = 2
A geometric sequence is a sequence of numbers with a constant ratio between each number and the one before e.g. 9, 27, 81, etc. That is: 81/27 = 27/9 = 3
Given: 147, 21, 3
This sequence does not have a common difference. Thus, it is not arithmetic
This sequence has a common ratio. Thus, it is geometric
common ratio = 21/147 = 1/7 or 3/21 = 1/7
Therefore, the sequence is geometric and has a common ratio of 1/7
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The wholesale price for a chair is $160. A certain furniture store marks up the wholesale price by 21%. Find the price of the chair in the furniture store.
Round your answer to the nearest cent, as necessary.
Answer:
$193.60
Step-by-step explanation:
160x1.21=$193.60
160+21%=$193.60
Bernie has decided to purchase a new car with a list price of $18,575. Sales tax in bernie’s state is 7. 40%, and he will be responsible for a $795 vehicle registration fee and a $110 documentation fee. Bernie plans to trade in his existing car, a 1999 buick riviera in good condition, and finance the rest of the cost for five years at an interest rate of 12. 77%, compounded monthly. Assuming that the dealer gives bernie the listed trade-in price for his car, what will his monthly payment be? round all dollar values to the nearest cent. Buick cars in good condition model/year 1998 1999 2000 2001 2002 century $929 $1,086 $1,150 $1,488 $1,595 lesabre $2,075 $2,282 $2,690 $2,935 $3,374 regal $1,676 $1,794 $2,030 $2,214 $2,566 riviera $1,291 $1,455 $1,520 $1,814 $1,959 a. $472. 05 b. $439. 12 c. $438. 20 d. $518. 23.
If the dealer gives Bernie the listed trade- in price for his car, he will pay $391.97 monthly.
Given that,
Bernie has decided to purchase a new car of $ 18,575.
The sales tax is 7.40%
Now,
18,575 x 7.40% = 1,374.55
Now, summing up the result of sales tax and purchase price, we get,
18,575 + 1,374.55 = 19,949.55
Bernie will give registration fees of $795
and, a documentation fees: $110
Now , we will sum up all the above information, i.e.,
= 19,949.55 + 795 + 110
= 20,854.55
Now, divide the result of documentation fees and registration fees by 5
20,854.55 ÷ 5 = 4,170.91
Dividing the above result by 12,
4,170.91 ÷ 12 = 347.58
Now, the finance the rest of the cost for five years at an interest rate 12.77%.
347.58 x 12.77% = 44.39
And,
347.58 + 44.39 = 391.97
Therefore, If the dealer gives Bernie the listed trade - in price for his car, he will pay $391.97 monthly.
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does the graph of a power function and the graph of its inverse demonstrate
symmetry? Explain your reasoning.
Yes, the graphs of a power function and its inverse are symmetric about the line y=x.
What is an inverse function?
A function that "undoes" another function is called an inverse. In other words, if f(x) yields y, then y entered into the inverse of f yields the output x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.
What is a power function?
Any function where y = xⁿ, where n is any real constant integer, is referred to be a power function. In reality, many of our parent functions, including linear and quadratic functions, are power functions.
Here,
The graphs of self-inverse functions are symmetrical about the line y=x. The domain of a one-to-one function f is the same as the range of its inverse f⁻¹ and the range of f is the same as the domain of f⁻¹.
Hence, the graphs of a power function and its inverse are symmetric about the line y=x.
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question is in the picture.
The set of ordered pairs that represent 90 degrees counter clockwise rotation about he origin is
3) A' (-6, 1) B' (-6, 6) C' (-2, 1)
How to find the coordinates of the imageRotation is a from of transformation that involves circular movement about an axis.
There two types of rotation
clockwise anticlockwiseThe transformation rule for 90 degrees clockwise rotation is as follows
(x, y) for a scale factor of r → (-y, x)
From the graph the coordinates are read and following the given transformation rule we have
preimage image
A (1, 6) → A' (-6, 1)
B (6, 6) → B' (-6, 6)
C (1, 2) → C' (-2, 1)
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Pls help me thank u very much
Answer: y= (7a+9b)/8
Step-by-step explanation:
I can only provide the answer now, If you want more explanations reply this
Step-by-step explanation:
(2y - a)/3 = (a + 3b)/4
first we get rid of the fractions by multiplying everything first by 3 and then also by 4 ;
(2y - a) = 3(a + 3b)/4
4(2y - a) = 3(a + 3b)/4
8y - 4a = 3a + 9b
8y = 7a + 9b
y = (7a + 9b)/8
Pleedadeees helppilyyy meeelili out
Answer:
Step-by-step explanation:
Answer: I Can't Read it
Step-by-step explanation: Its to far
When analyzing two quantitative variables, what is the first thing that should be done?.
Using the theories of quantitative variables, we got that Graphical display is the first thing that should be done when we are analyzing two quantitative variables.
Comparing the Two Quantitative Variables As we did when considering only one variable, we begin with the graphical display. A scatterplot is the most useful display technique for comparing the two quantitative variables. We plot on the y-axis the variable we consider for the response variable and on the x-axis we place the explanatory or the predictor variable.
Hence, When analyzing two quantitative variables, the first thing that should be done is Graphical display.
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In a sale , all prices are reduced by 30 %.
Calculate the marked price (original price) of an article which is sold for Rs 4200 in the sale
Answer:
$2940
Step-by-step explanation:
30 percent *4200 =
(30:100)*4200 =
(30*4200):100 =
126000:100 = $1260
4200-1260=$2940
Simon drives 75 km at an average speed of 120 km/h and then 9 km at 70 km/h without stopping. What is the average speed for the whole journey to 1 dp?
95km/h is the average speed for the whole journey
What is Speed?Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement
Given,
Simon drives 75 km at an average speed of 120 km/h
9 km at 70 km/h without stopping.
We need to find the average speed.
Average speed = Total distance/Total time
The total distance is 75km+9km
84 km
The average speed is sum of speeds by two
120+70=190/2=95km/h
Hence, 95km/h is the average speed for the whole journey
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the sum of two numbers is 61, if the larger number is seven less than three times the smaller number, find both numbers
Answer:
The two numbers are 17 and 44.
Step-by-step explanation:
x --> smaller number
y --> larger number
x + y = 61
y = 3x - 7
x + 3x - 7 = 61
4x - 7 = 61
4x = 68
x = 17
y = 3(17) - 7
y = 51 - 7
y = 44
NEED HELP PLEASEEEEEEEE
Answer:
- 3/4
PLEASE GIVE BRAINLIEST THANK YOU!!!
The longet ide of an acute triangle meaure 30 inche. The two ide are congruent, but their length i unknown. What i the mallet poible perimeter of the triangle, rounded to the nearet tenth?
The smallest possible perimeter of the triangle is, 72.4 inches.
What is perimeter?
The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
As given the longest side of an acute triangle measure 30 inches.
The two remaining sides' combined length must be longer than the opposite side.
The sum of the two remaining sides should be greater than 30 inches if the side is 30.
Assume the other two sides add up to 31 inches.
So, The perimeter of a triangle is equal to the sum of its three sides, which comes to 30 + 31 = 64 inches.
Consequently, the circumference must be greater than 64 inches.
Hence, based on the possibilities, the triangle's smallest conceivable perimeter is 72.4 inches.
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Consider the equation Y=x^2-3 a) using the given input, complete the table by entering the corresponding ordered pairs separated commas x, -2, -1, 0,1,2 y,_,_,_,_,_ b) Graph the equation by plotting the vertex and one other point
Answer: I don't know
Step-by-step explanation:
5(x+10)+x
please help with explanation Q^Q
Answer:
Solution
=5(X+10)+X
=5×x+5×10+x
=5x+50+X
=6x+50
Step-by-step explanation:
Your answer is 6x+50.
Write a rule to describe this translation. (photo attached)
The rule for given translation is (x,y)→(x + 3, y - 4).
What is Transformation?In mathematics, the phrases translation, rotation, and reflection are all used to describe the change of forms. This refers to a form moving beyond a mirror line or a fixed point. While being translated, rotated, or reflected, the shape doesn't change. The constant rotation of a shape around a fixed point or across the mirror line is known as translation. Rotation defines the way a form moves about a central axis. Shapes can be rotated by a specific number of degrees either clockwise or counterclockwise.
The rule for translation of given figure will be,
We need to move x for 3 units to left and y for 4 units downwards to get the translation, so the rule is:
(x,y)→(x + 3, y - 4).
Therefore, the rule for given translation is (x,y)→(x + 3, y - 4).
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I need help please!!!
Answer:
slope = - [tex]\frac{7}{13}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, - 10 ) and (x₂, y₂ ) = (- 4, - 3 )
m = [tex]\frac{-3-(- 10)}{-4-9}[/tex] = [tex]\frac{-3+10}{-13}[/tex] = [tex]\frac{7}{-13}[/tex] = - [tex]\frac{7}{13}[/tex]
Please help me out with this question which graph shows a line with a slope of -2/3 passing through (-1,0)
Answer:
Step-by-step explanation:
Correct Answer: C.
First we can see that the slope is negative, meaning the graph is decreasing.
Then we go to the point (-1,0) and go down 2 and 3 right. if that point is on the line, then we know it's correct.
The circumference of a circle is 15 in. What is the area, in square inches? Express
your answer in terms of pie
Answer:
The area is 225/(4π) in²Step-by-step explanation:
Area of circle equation:
A = πr²Circumference of circle equation:
C = 2πrGivenC = 15 inTo Find Area of circleSolutionUse circumference equation to find the radius:
2πr = 15r = 15/(2π)Find the area:
A = π*[15/(2π)]² = 225/(4π)The price of a used car is discounted $200 each week.
If the price of a used car is discounted $200 each week then the grapg will be linearly decreasing in nature
A linear graph can be either increasing, decreasing or constant.
Here the price of the car is being discounted $200 every week, so as the number of weeks increase, the price of the car decreases
So, the graph for this situation will be linearly decreasing.
The slope of this kind of graph is negative/
Therefore, If the price of a used car is discounted $200 each week then the grapg will be linearly decreasing in nature
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