The enlargement or a reduction in the dimensions of a building would cause a change in the scale factor is defined below:
What is Scale Factor?A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.
A dilation is a transformation that enlarges or reduces a figure in size. This means that the pre image and image are similar and are either reduced or enlarged using a scale factor.
As seen in the graphics below. A reduction (think shrinking) is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image.
If the scale factor is between 0 and 1 the image is a reduction.
Using dilation scale factors, we can shrink or expand a figure to the size we desire, knowing that each angle is congruent, each segment is proportional, the slope of each segment is maintained, and the perimeter of the pre image and image have the same scale factor.
Hence, this is how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
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Ram, Shyam and Moha purchased biscuits of different brands P, Q and R. Ram purchased 10 packets of P, 7 of Q and 3 packets of R. Shyam purchased 4 packets of P, 8 packets of Q and 10 packets of R. Mohan purchased 4 packets of P, 7 packets of Q and 8 packets of R. If brand P costs € 4, Q costs € 5 and R costs € 6 each, then using matrix operation, find the amount of money spent by these persons individually.
The amount of money spent by these persons individually will be $ 93, $116, and $ 99.
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
Ram, Shyam, and Mohan purchased biscuits from different brands P, Q, and R.
Ram purchased 10 packets of P, 7 packets of Q, and 3 packets of R.
Shyam purchased 4 packets of P, 8 packets of Q, and 10 packets of R.
Mohan purchased 4 packets of P, 7 packets of Q, and 8 packets of R.
If brand P costs € 4, Q costs € 5, and R costs € 6 each.
Then the amount of money spent by these persons individually will be
Then these are shown in the form of a matrix. Then we have
[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix}[/tex]
Then the amount of money spent by these persons individually will be
[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix} = \begin{bmatrix} 93\\ 116 \\99 \end{bmatrix}[/tex]
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DUBLE POINTS BECAUSE OF SEMESTER TESTING
Jacques plays a game that involves drawing cards to move around the board. He uses a uniform probability model to determine the probability that he will win on his next turn. There are 8 blue cards, 8 green cards, 8 red cards, 8 yellow cards, and 8 orange cards. Jacques needs either a blue or an orange card to win on his next turn.
What is P(blue or orange)?
1/20
1/4
3/10
2/5
total no of cards = 40
p(blue) = 8 out of 40
p(orange) = 8 out of 40
p(blue or orange ) = 16 out of 40
16÷40 = 2/5.
Jade thinks the area m•6+m•8. Arianna thinks the area is m(6+8). How can they both be correct?
HELP PLEASE HELP ME!!!
Answer:
6m=8m−40+6mNow simplify:=8− m−40+6− m=14m−40
Step-by-step explanation:
6m=8m−40+6mNow simplify:=8− m−40+6− m=14m−40
What are the zeros of the function f(x) = (x+5)(2x-7)?
A. x = -5 and x = 4
B. x = 5 and x = -4
C. x = -5 and x = 8
D. x = 5 and x = -8
Answer: A
Step-by-step explanation:
[tex]$$Solve for $x$ :$$(x+5)(2 x-7)=0$$Split into two equations:$$x+5=0 \text { and } 2 x-7=0$$Subtract 5 from both sides: $x=-5$ and $2 x-7=0$ \\Add 7 to both sides: $x=-5$ and $2 x=7$\\Divide both sides by 2:\\Answer:$$x=-5 \text { and } x=\frac{7}{2}$$[/tex]
Rounding up for 2nd zero = 7/2 = 3.5
Therefore, the zeroes of the function (rounded to whole numbers) are x = -5 and x = 4
Answer:
the answer is c
Step-by-step explanation:
to find the zeros set
f
(
x
)
=
0
(
3
x
−
5
)
(
2
x
+
7
)
=
0
equate each factor to zero and solve for x
2
x
+
7
=
0
⇒
x
=
−
7
2
3
x
−
5
=
0
⇒
x
=
5
3
Find the binomial coefficient (8/3)
Answer:
the binomial coefficient
Brainly for the one who help me
Answer:
the 3rd choice
Step-by-step explanation:
The number of hours that the employees at the grocery store worked last week is normally distributed with a mean of 24 and a standard deviation of 6. If there are 50 total employees, approximately how many worked at least 30 hours last week?
Please help Khan Academy is due soon and I must FINISH!!!!!
When you distribute, you independently multiply each term inside the parentheses by the term outside the parentheses.
So
6 x 7 = 42
and
6 x -4n = -24n
So the final answer is: 42 - 24n
*You cannot combine this answer any further since you are subtracting an unknown variable (n) from a number.
What is the answer to E= mc^2
Answer:
E = energy (measured in joules)m = mass (measured in kilograms)c = the speed of light (186,300 miles per second, or 3 x 108 ms-1
Step-by-step explanation:
At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold find the number of soda sold and the number is hot dog sold
Answer:
Hot dog sold = 33
Sodas Sold = 72
Step-by-step explanation:
Given:
At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold
To Find:
Number of soda/hot dog sold
Solve:
h + ( 39 + h ) = 105
h + 39 + h = 105
2h + 39 = 105
h + 19.5 = 52.5
h = 52.5 - 19.5
This as a system does not use any inequality. "39 more than" means, +39.
h = 33 meaning d= 72
Add to check Answer:
33 + 72 = 105
Thus,
Hot dog sold = 33
Sodas Sold = 72
Kavinsky
Please help I put 50 points into this
Answer:
B,C,E
Step-by-step explanation:
Answer:
A, C, D
Step-by-step explanation:
A ray can have 2 endpoints
And because of that it can be named more than one way.
That means that B&E are wrong
(5x+1)3=15x3 que Propiedad pertenece
Answer:
Step-by-step explanation:
1) Reagrupar términos.
3(5x + 1) = 15x^3
2) Divide ambos lados por tres.
5x + 1 = 5x^3
3) Mueva todos los términos a un lado.
5x + 1 - 5x^3 = 0
4) No se encontró ninguna raíz algebraicamente. Sin embargo, las siguientes raíces se encontraron por métodos numéricos.
x=−0.878886,−0.209148,1.088033
Y= x^2-4x+2 what is the vertex
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{+2} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -4}{2(1)}~~~~ ,~~~~ 2-\cfrac{ (-4)^2}{4(1)}\right)\implies (2~~,~~2-4)\implies (2~~,~~-2)[/tex]
calculate the difference between the pairs of numbers below 1 and - 1
Answer:
we can get the difference by just subtracting -1 and +1 which will give us 0
For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
y = negative 2 x squared + 4
Table A
a
b
c
up or down
y-intercept
-2
0
4
down
(0,-2)
Table B
a
b
c
up or down
y-intercept
4
0
-2
down
(0,4)
Table C
a
b
c
up or down
y-intercept
-4
0
-2
down
(0,-2)
Table D
a
b
c
up or down
y-intercept
-2
0
4
down
(0,4)
a.
Table A
c.
Table C
b.
Table B
d.
Table D
The table that correctly describes the given quadratic equation is table D.
Which table correctly describes the quadratic equation?A general quadratic equation is written as:
[tex]y = a*x^2 + b*x + c[/tex]
The y-intercept is the point (0, c), and the sign of the coefficient a determines if it opens up or down.
If a > 0, then it opens up.If a < 0, then it opens down.In this case, the quadratic equation is:
[tex]y = -2x^2 + 4[/tex]
Then we have:
a = -2b = 0c = 4.The y-intercept is (0, 4), and because a is negative, the parabola opens down.
Then the correct table is table D.
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URGENT!!! Which function, g or h, is the inverse function for function ƒ?
the function h because the graphs of ƒ and h are symmetrical about the line y = x
the function g because the graphs of ƒ and g are symmetrical about the line y = x
the function g because the graphs of ƒ and g are symmetrical about the x-axis
the function h because the graphs of ƒ and h are symmetrical about the y-axis
Answer:
The answer is The function h because the graphs of f and h are symmetrical about the line y = x.
Step-by-step explanation:
A function and its inverse function become symmetrical across the line y = x.
This is an easy question , and Ik the answer who ever answers it first I’ll give u brainliest
Answer:
option b, 205
Step-by-step explanation:
Each dot on the line plot represents a different length of the ribbon,
To find the total length of the ribbon you add all the different length that was cut,
3(11.5) + 5(12) + 1(12.5) + 2(13.5) + 4(14) + 1(15)
34.5 + 60 + 12.5 + 27 + 56 + 15 = 205
205
hope it helps...!!!
thx for points
A. c
B. d
C. b
D. a
Pls help!!
Answer:
d
Step-by-step explanation:
that's the answer to the question
help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee
Since the variable x is the numerator of the fraction, we first need to multiply each side by 6, since the denominator is 6. After doing this, the equation should now look like this: [tex]18 = x + 31[/tex]. Next, we subtract 31 from 18 following the rule. 18 - 31 = -13. x is equal to -13.
For shown work in order:
[tex](6) 3 = x +31[/tex]
[tex]18 = x + 31[/tex]
[tex]18 - 31 = x[/tex]
[tex]x = -13[/tex]
Which figures demonstrate a single translation?
Select each correct answer.
Translation of a figure is the situation when a figure is moves from one place to another place. The size of the figure does not changes in translation. The figure does not rotate in the translation. As the option 3 (below the first option) and 4 demonstrate the single translation hence, option 3 and 4 is the correct option.
Given-Given option shows the different translation and rotation of the original figure. It has to be known about the translation before checking the correct option.
What is translation?Translation of a figure is the situation when a figure is moves from one place to another place. The size of the figure does not changes in translation. The figure does not rotate in the translation.
In option 1 the object flips to the opposite side of the figure figure. Thus the option 1 does not demonstrate the single translation.In option 2 (right to the first option) the figure flips to the opposite side of the original figure and then translate to other location. Thus the option 2 does not demonstrate the single translation.In option 3 (below the first option) the figure moves to southeast direction to its position. Thus the option 4 demonstrate the single translation. Therefore option 4 is the correct option.In option 4 the figure moves to right from its location. Thus the option 3 demonstrate the single translation. Therefore option 3 is the correct option.As the option 3 (below the first option) and 4 demonstrate the single translation hence, option 3 and 4 is the correct option.
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A water park has pools, slides, and rides
that, in total, make use of 4.6 x 10^5
gallons of water. They plan to add a ride
that would make use of an additional
6.7 x 10^4 gallons of water. Use scientific
notation to express the total gallons of
water made use of in the park after the
new ride is installed.
Answer:
5.27×10^5 gallons
Step-by-step explanation:
Adding numbers in scientific notation requires that their powers of ten match. Here, we can rewrite the smaller number so its power of ten matches that of the larger number.
__
4.6×10^5 +6.7×10^4
= 4.6×10^5 + 0.67×10^5
= 5.27×10^5
The park will use 5.27×10^5 gallons of water after the new ride is installed.
__
This kind of calculation can be done easily by your scientific calculator or a spreadsheet. You may have to set the display mode to scientific notation.
A business supply store sells 10 pens for$8. What is the cost of 2 pens?
[tex]\begin{array}{ccll} pens&\$\\ \cline{1-2} 10 & 8\\ 2& x \end{array} \implies \cfrac{10}{2}=\cfrac{8}{x}\implies 5=\cfrac{8}{x}\implies 5x=8\implies x=\cfrac{8}{5}\implies x=1.6[/tex]
Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the length of B C is 24.
Given right triangle ABC, what is the value of tan(A)?
Answer:
tan(A) = 12/5Step-by-step explanation:
Given a right angle triangle ABC.
If ∠BCA = 90°
the hypotenuse AB = 26
AC = 10 and BC = 24.
Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;
Tan (A) = opp/adj
Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;
tan(A) = BC/AC
tan(A) = 24/10
tan(A) = 12/5
Answer:
[tex]\ tan \ A = \dfrac{24}{10}[/tex]
Step-by-step explanation:
[tex]\sf Tan \ A = \dfrac{opposite \ side \ of \ angle \ A}{adjacent \ side \ of \ angle A}\\\\Tan \ A = \dfrac{BC}{AC}\\\\Tan \ A = \dfrac{24}{10}[/tex]
what is the angle in degrees between two consecutive spokes if there are 24 spokes in a wheel?
Answer:
15
Step-by-step explanation:
- 360 degrees in a complete circle you divide it by 24
360/24=15
Can someone help me with number 2 please?
Answer:
I notice that the size of the watermelons has grown at a steady positive rate over the seven days.
The contingency table below shows the results of a random sample of 400 state
that was conducted to see whether their opinions on a bill are
representatives
related to their party affiliation.
Opinion
Party
Approve
Disapprove
Totals
No
Opinion
Republican
84
40
28
152
Democrat
100
48
36
184
Independent
20
32
12
64
Totals:
204
120
76
400
What is the expected frequency for the cell E3,1? Round your answer to the
nearest tenth.
32.6
45.3
28.9
38.3
Answer:
what is this question man .......
Mayerlin models the volume of a popcorn box as a right rectangular prism and the box can hold 49 cubic inches of popcorn when it is full. Its length is 2\frac{3}{4}2
4
3
in and its height is 5\frac{1}{2}5
2
1
in. Find the width of the popcorn box in inches. Round your answer to the nearest tenth if necessary.
The width of the popcorn box that Mayerlin models given its dimensions and the volume is 3.2 inches.
What is the width?A rectangular prism is a three-dimensional shape that is made up of six faces and 12 sides.
Volume = length x width x height
Width = volume / (length x height)
49 / (2 3/4 x 5 1/2) = 3.2 inches
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Answer:3.2
Step-by-step explanation:
What is the volume of the Pop-Cone?
What is the price per cubic inch for the Pop-Cone?
Base=5in
Height=8in
PLSS HELP ASAP
Base radius is 5in
Height=8in
Volume
1/3πr²h1/3π(5)²(8)1/3π(8)(25)200π/3209.3in³Answer:
Volume = 13.3 in³ (nearest tenth)
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
[tex]\textsf{Base area of a cone = area of a circle}=\sf \pi r^2[/tex]
[tex]\implies \textsf{Volume of a cone}=\sf \dfrac{1}{3} h \times \textsf{base area}[/tex]
Given:
Base area = 5 in²Height = 8 inSubstituting the given values into the formula:
[tex]\begin{aligned}\implies \textsf{Volume of a cone} & =\sf \dfrac{1}{3} (8)(5)\\\\ & = \sf \dfrac{40}{3}\\\\ & = \sf 13.3\:in^3\:(nearest\:tenth)\end{aligned}[/tex]
A snail crawls 83 cm due west and then
78 cm due north.
Work out the bearing of the snail from its
starting point.
Give your answer to the nearest degree.
Answer:
313°
Step-by-step explanation:
The reference angle (α) can be found using the tangent relation:
Tan = Opposite/Adjacent
__
In this problem, that means ...
tan(α) = 78/83
α = arctan(78/83) ≈ 43° . . . . . . angle from -x axis
The bearing angle will be this value added to 270°, since bearing angles are measured clockwise from north.
bearing = 270° +43° = 313°
Please help! I need the right answer : (
A cone with the height h radius r has volume v=1/3 m2h. if the cone has a height of 6 in. And volume of v=8♊︎(pie)x+24m♊︎(pie), what is the radius r in terms of x? A. r=3x+2. B. r=4x^2+12x+9. C. r=2x+3 D. r= (2x+3) (2x-3)
Answer:9514 1404 393
Answer:
h = 3V/(πr²)
Step-by-step explanation:
The formula can be solved for h by multiplying both sides by the inverse of the coefficient of h.
_____
Additional comment
Whenever a variable has a coefficient you don't want, you can make that be 1 by multiplying the equation by the inverse of the coefficient. This is the same as dividing by the coefficient. This makes use of the fact that for any non-zero 'a', the ratio a/a has a value of 1. Anything multiplied by 1 is unchanged.
V = ah ⇒ V/a = (ah)/a = h(a/a) = h·1 = h
Note that we multiply the whole equation (both sides of the equal sign) by 1/a. The basic rule of equality is that you can do whatever you like to an equation, as long as you do it to both sides.
Step-by-step explanation:
