Answer:
The answer is A because A has 9 zeroes behind 3.5
Two similar solids have a scale factor of 5:3.
What is the ratio of their volumes expressed in lowest terms?
The ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.
How to Determine The Ratio of the Volume of Similar Solids?If two solids that are similar to each other, have volumes A and B respectively, and have a scale factor of a:b, thus, the ratio of their volumes would be expressed as:
Volume of solid A/Volume of solid B = a³/b³
or
Volume of solid A : Volume of solid B = a³ : b³
Thus, the given similar solids have a scale factor of 5:3, therefore, the ratio of their volumes would be expressed as shown below:
5³ : 3³
125 : 27
Thus, the ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.
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NO LINKS! Please help me
Answer:
Translation of 6 units left.
Reflection in the x-axis.
Step-by-step explanation:
Figure T
(1, -4)(5, -1)(8, -4)(3, -8)Translate 6 units left: (x, y) → (x-6, y)
(1, -4) → (1-6, -4) = (-5, -4)(5, -1) → (5-6, -1) = (-1, -1)(8, -4) → (8-6, -4) = (2, -4)(3, -8) → (3-6, -8) = (-3, -8)Reflect in the x-axis: (x, y) → (x, -y)
(-5, -4) → (-5, 4)(-1, -1) → (-1, 1)(2, -4) → (2, 4)(-3, -8) → (-3, 8)Figure U
(-5, 4)(-1, 1)(2, 4)(-3, 8)Therefore, the series of transformations that map Figure T onto Figure U are:
Translation of 6 units left.Reflection in the x-axis.
a translation of T2, –7(x, y) is applied to ΔABC, what are the coordinates of B'?
If a translation of T (2, -7) is applied to the triangle ABC as shown in the figure attached hereby for reference, and B (1, 5) gets repositioned to B', then the current coordinates of B' are (3, -2).
As per the question statement, a translation of T (2, -7) is applied to the triangle ABC as shown in the figure attached hereby for reference, and B (1, 5) gets repositioned to B'.
We are required to calculate the coordinates of B'.
To solve this question, we need to know what Translation (a, b) to (x, y) and (-a, -b) to (x, y) means. Translation (a, b) to (x, y) means the abscissa "x" is to be shifted to the right by "a" units while the ordinate "y" is to be shifted to the right by "b" units, i.e., after translation, the new coordinates become [(a + x), (b + x)]. On the other hand, Translation (-a, -b) to (x, y) means the abscissa "x" is to be shifted to the left by "a" units while the ordinate "y" is to be shifted to the left by "b" units, i.e., after translation, the new coordinates become [(a - x), (b - x)].
Here, as per the above mentioned concept, a translation of T (2, -7) if applied to the point B (1, 5), the new point B' will be at \([(1+2), (5+(-7)]=[3, (-2)]\).
Translation: In Coordinate Geometry, a translation is a repositioning of a point or a figure from one location to another location without changing its size, shape or orientation.Coordinates: The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional coordinate plane by using the horizontal and vertical distances from the two reference axesTo learn more about Translation, click on the link below.
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Answer: D (3,-12)
Step-by-step explanation:
(URGENT)An engineer has a 40:1 scale drawing of a bridge. The dimensions of the scaled bridge deck are 24 inches by four and four fifths inches. What is the area of the actual bridge deck in square feet?
460 square feet
640 square feet
960 square feet
1,280 square feet
The area οf the actual bridge deck in square feet is 1,280 square feet.
What is Area?Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.
The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).
The dimensiοns οf the scaled bridge deck in feet are:
24 inches = 2 feet
4 and 4/5 inches = 0.4 feet
Sο, the area οf the scaled bridge deck in square feet is:
2 feet x 0.4 feet = 0.8 square feet
Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:
Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet
Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.
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Answer:
Step-by-step explanation:
The scale factor indicates the actual bridge is 40 times larger than the drawing.
Increase the scale dimensions by the factor of 40.
24 times 40 = 960"
4.8 times 40 = 192" (I changed 4 4/5 to 4.8)
Area = length times width
960 times 192 = 184320 sq inches actual bridge deck in square inches
Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet
What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point(2,5)?
Answer:
Step-by-step explanation:
To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:
Find the slope of the provided line.
The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.
Substituting the values, the equation of the perpendicular line becomes:
y - 5 = (-1/m)(x - 2)
Simplifying the equation further, we can rewrite it in point-slope form:
y - 5 = (-1/m)x + (2/m)
Which of the following represents 20 = 5 x 4
A. 5 is 4 times as many as 20
B. 20 is 2 times as many as 10
C. 4 is 5 times as many as 20
D. 20 is 5 times as many as 4
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the answer is d because
20 is "=" 5 times "×" as 4
so the formula derived is
20= 5x4
is represents =
times represents ×
hope you get it
solve using Substitution y = 6x - 11 -2x - 3y = -7
Answer:
(2, 1)
Step-by-step explanation:
To solve by substitution, we solve one equation for one of its variables and then substitute the solved value for that variable into the other equation. Because this system of equations already has one solved for the variable, this makes our job much easier. We only need to implement the solved value for y into the other equation and solve for x.
y = 6x - 11
-2x - 3(6x - 11) = -7 Distribute.
-2x - 18x + 33 = -7 Combine like terms.
-20x + 33 = -7 Subtract 33 from both sides of the equation.
-20x = -40 Divide by -20 on both sides of the equation.
x = 2
Then, with this value, we will place it into the equation that was already solved for y in order to get a definite value for y.
y = 6(2) - 11
y = 12 - 11
y = 1
Using this information, the coordinate pair for this equation (the point of intersection between the two lines) is (2, 1).
Find VW in parallelogram VWXY.WЗcХ2C+12YVW =
Given that VWXY is a parallelogram.
So its opposite sides must be parallel and equal.
The side VW and XY should also be equal,
\(\begin{gathered} VW=XY \\ 3c=2c+12 \\ 3c-2c=12 \\ c=12 \end{gathered}\)Solve for the side VW as,
\(\begin{gathered} VW=3c \\ VW=3\times12 \\ VW=36 \end{gathered}\)Thus, the side VW is 36 units.
Find x. Round your answer to the nearest tenth of a degree.
36
X
19
+
Answer: 36.9
Step-by-step explanation:
Carrie ran some of the miles and walked some of the miles in a 10-mile race. Each mile she ran took 9 minutes, and each mile she walked took
16 minutes. She finished the race in 120 minutes.
Which system of equations can be used to determine the number of miles Carrie ran, r, and walked, W?
r+9 = 10
ОА.
W + 16 = 120
B.
r = 10w
9r + 16w = 120
OC.
r+w = 10
9r + 16w = 120
D.
r+w = 10
16r + 9w = 120
9514 1404 393
Answer:
C. r+w = 10; 9r + 16w = 120
Step-by-step explanation:
The problem statement describes two relationships. Each of these gives rise to an equation.
total miles: r + w = 10
total time: 9r +16w = 120
Please help me with this, I am not sure what to do.
Since \(x\) is approaching 1 from the left/below, we take the part of \(f(x)\) that is defined over \(x<1\), for which we have
\(f(x) = \dfrac{x-1}{\sqrt{x-1}}\)
Since \(x\neq1\), we can simplify this to
\(f(x) = \dfrac{x-1}{(x-1)^{1/2}} = (x-1)^{1/2} = \sqrt{x-1}\)
and this is continuous at \(x=1\), so we can evaluate the limit by directly substituting \(x\).
To summarize:
\(\displaystyle \lim_{x\to1^-} f(x) = \lim_{x\to1} \frac{x-1}{\sqrt{x-1}} = \lim_{x\to1} \sqrt{x-1} = \sqrt{1-1} = \boxed{0}\)
Solve for r 1+3r>10 please I need this solved aspap
The solution to the inequality 1 + 3r > 10 is r > 3.
This means that any value of r greater than 3 will satisfy the inequality.
To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.
Let's begin by subtracting 1 from both sides of the inequality:
1 + 3r - 1 > 10 - 1
This simplifies to:
3r > 9
Next, we can divide both sides of the inequality by 3 to solve for r:
(3r)/3 > 9/3
This simplifies to:
r > 3
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Let me show you an exam
Michael works and gets paid $8.50 per hour. Show
equation is proportional and write an equation that describes this relationship
Answer:
\(y = 8,50x\)
Step-by-step explanation:
Given
Let
\(y\to\)earnings
\(x \to\) hours
Solving (a): The proportion
x and y can be expressed as:
\(y\ \alpha\ x\) --- direct variation
Write as an equation
\(y = kx\)
Where
\(k = 8.50\) --- the hourly rate
So, we have:
\(y = 8,50x\)
I need help on this question
Answer:
Step-by-step explanation:
First off, you need to add up AB and BC. You would get the equation:
2(3x-4)=62, since there are two segments. Solve it/simplfy.
6x-8=62 => 6x=70 => x= 11.66666(forever)
Since you alreday solved one, you easily know the answer is c.
Can you find the surface area of a rectangular prism 2,3,4
Answer:
48
Step-by-step explanation:
4*2*3 for the 4 flaps
2*4*3 for the 2 tops
(4*2*3) + (2*4*3) = 48
Answer:
52 square inches
Step-by-step explanation:
to find the surface area of a rectangular prism the formula is
S.A.=2(l*w+l*h+w*h)
2(4*3+4*2+3*2)
=52 square inches
here l is length w is width and h is height
There were 21 children in the library.
After 7 children left the library, how many
children were still in the library?
Larry read 12 books this summer. If
Kim read 125% more books than
Larry, how many books did Kim read?
Answer:answer is 27
Step-by-step explanation:
12x1.25=12x125%=15
15+12=27
The required number of books that Kim had read is given as 15 books.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Larry read 12 books this summer. If Kim read 125% more books than Larry.
According to the question,
Number of books that Kim read = 125% of 12
Number of books that Kim read = 12 × 1.25 = 15 books
Thus, the required number of books that Kim had read is given as 15 books.
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what is the least common denominator of 1/2, 2/3 and 3/8 A. 48 B. 24 C. 16 D. 12
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Does anyone know these?
Answer:
1 = - 4 - 14 √3
2 = 9 - 11 √3
Step-by-step explanation:
Question 1
(-4√3 + 2)(√3 + 4)
Apply FOIL method
= (-4√3) √3 + (-4√3) . 4 + 2 √3 + 2 . 4
Apply minus-plus rules: + (-a) = -a
= -4 √3 √3 - 4 . 4 √3 + 2 √3 + 2 . 4
Simplify
= - 4 - 14 √3
Question 2
(-3 + √3)(1 + 4 √3)
Apply FOIL method
= (-3) . 1 + (-3) . 4 √3 + √3 . 1 + √3 . 4 √3
Apply minus-plus rules: + (-a) = -a
= -3 . 1 - 3 . 4 √3 + 1 . √3 + 4 √3 √3
Simplify
= 9 - 11 √3
An auto dealer buys a truck at a cost of $15,800 and sells it to consumers at a price of $33,970. Find the amount of the markup, and the percent markup based on the selling price. Round to the nearest tenth percent.
Answer:
i dont know how to help you:(
△ABC = △DBC, AB= 10, AC=7 DC= ?
Answer:DC=7
Step-by-step explanation:
As it is written △ABC = △DBC. So the corresonding legs (the legs which are equal ) are as follows:
AC=DC AB=DB BC= BC
So DC=7 the same like AC
Sally can paint a room in 4 hours while it takes Steve 7 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
3 hours
Step-by-step explanation:
7hours - 4hours
hope it helped
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Determine the median of the following numbers: 8, 11, 11, 12, 13, 15, 16, 16, 18, 21
Answer:
The median of the following numbers is 14
Step-by-step explanation:
A spinner is spun `40` times for a game.
This graph shows the fraction of games that are wins.
Based on the graph, what is the probability of a spin winning this game?
(i) In decimals: 0.65
(ii) In percentage: 65%
The graph shows that after the spinner is spun after 40 times. The Fraction of wins is 0.65 out of 1. Look at the very end of the graph to look at the conclusion for probability. Similar cases when, after the spinner is spun after 20 times, the probability is 0.65.
Answer:
0.65 or 65%
Step-by-step explanation:
There are 10 Superscript 9 bytes in a gigabyte. There are 10 Superscript 6 bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?
3 times greater
10 times greater
1,000 times greater
3,000 times greater
A 1-gigabyte flash drive has 1000 times more storage space than a 1-megabyte flash disk. The right response is thus "1,000 times greater."
To solve this problem
We need to find the ratio between the two capacities.
Given that there are \(10^9\) bytes in a gigabyte and\(10^6\) bytes in a megabyte, we can calculate the ratio as follows:
Ratio = (1 GB) / (1 MB)
= \((10^9 bytes) / (10^6 bytes)\)
= \(10^(9 - 6)\)
=\(10^3\)
= 1000
Therefore, A 1-gigabyte flash drive has 1000 times more storage space than a 1-megabyte flash disk. The right response is thus "1,000 times greater."
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Which of the following must be true about p?
A. p(x) has an even degree.
B. p(x) has an odd degree.
C .p(x) has a positive leading coefficient.
D. p(x) has a negative leading coefficient.
E. p(x) has a positive constant term.
F. p(x) has a negative constant term.
G. In p(x), the zero 1 has an even multiplicity.
H. In p(x), the zero 1 has an odd multiplicity.
9514 1404 393
Answer:
B, C, F, H
Step-by-step explanation:
When the function has end behavior that goes to opposite infinities, the degree must be odd, as here.
When the function goes to infinity with the same sign as the variable, then the leading coefficient must be positive, as here.
When the function crosses the y-axis at a negative value, the constant must be negative, as here.
When the function crosses the x-axis at a zero, the zero must have odd multiplicity, as for the zero x=1 here.
Choices B, C, F, H apply.
How do I simplify the ratio of
42 : 28 : 21
Answer:
6:4:3
Step-by-step explanation:
each can be divided by 7
Answer:
6 4 3
Step-by-step explanation:
Ben says that n = 6 is the solution of the equation 7n = 49. Is Ben correct? EXPLAIN.
Answer:
He is incorrect
Step-by-step explanation:
7n = 49
Isolate variable "n" by dividing both sides by 7:
n = 7
Since doing this step makes n to equal 7, [Ben is incorrect to say that n = 6]
Name the property shown by the statement. 27 + 59 = 59 + 27 help please
Answer:
Commutative property of addition
Step-by-step explanation:
89 to the nearest 10
Answer:
it is : 90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
anything under 5 goes down
anything above 5 goes up
89 is above 85, so it's gonna be 90