Answers
The minimal set of coordinates required to represent any point inside a mathematical space is known as the dimension of the space in physics and mathematics.
What is 3D and 2D ?The terms 2D and 3D describe the precise sizes of a computer workstation. Using the horizontal and vertical (X and Y) axes, 2D is "flat," meaning that there are only two dimensions to the picture, which becomes a line when rotated to the side. The depth (Z) dimension is added in 3D.A two-dimensional form known as a "2D shape" is characterised by its horizontal and vertical axes (x-axis and y-axis)The three spatial dimensions of width, height, and depth are referred to as three dimensions, or 3D. The physical world is three dimensional, as is everything that can be seen there.The rectangle, square, circle, triangle, and any other polygon are a few examples of 2D forms. Cuboid, cube, sphere, cone, prism, cylinder, pyramid, etc. are a few examples of 3D forms.Fill in blanks :
A point has no dimension. it is an abstract idea of a location in space.
A vertex is where two edges meet at a point
A line has edge dimension - length . An edge is a line segment where two faces meet.
A flat plane figures has a 2 dimension - length and width
The 3 points of a 3D object is a plane.
Three dimensional objects have vertices, edges and faces unless they are the geometric solids like cylinders, cones and sphere.
when we talk about line we are looking at the measure of a one dimensional figure.
when we talk about area we are looking at the space inside of a two dimensional figure.
when we talk about volume we are looking at the total space enclosed by a three dimensional figure.
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Related Questions
a line passes through point (-6, 1) and has a slope of 4/3 write an equation in Ax+By=C
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Answer & Explanation.
To write the equation of a line with a given slope that passes through a specific point, we can use the point-slope formula, which is given by:
y - y1 = m(x - x1)
where (x1, y1) is the coordinates of the given point, and m is the slope of the line. In this case, the coordinates of the given point are (-6, 1) and the slope of the line is 4/3. Plugging these values into the point-slope formula, we get:
y - 1 = (4/3)(x + 6)
We can now rearrange the terms in this equation to get it in the form Ax + By = C, which is:
y = (4/3)x + (4/3)(-6) + 1
This equation can be rewritten as:
4x + 3y = -8
So, the equation of the line in the form Ax + By = C is 4x + 3y = -8.
3/5 x 3/5 x 3/5 i need help what is it
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\(\cfrac{3}{5}\times\cfrac{3}{5}\times\cfrac{3}{5}\implies \cfrac{3\times 3\times 3}{5\times 5\times 5}\implies \cfrac{27}{125}\)
Answer:27/125
Step-by-step explanation:
Multiply the tops 3x3x3=27
Multiply the bottoms 5x5x5=125
Dad gave his son 60 euros to buy wallpaper. In the store, it turned out that the price for one roll wallpaper increased by 3 euros, and because of this, the son was able to buy 1 roll of wallpaper less than he needed. How many rolls of wallpaper could he buy and how much did one roll cost? Did he do the right thing to buy the wallpaper?
Answers
Answer:
$92.296
Step-by-step explanation:
no, he did not make the right decision that's $19.096 over the budget.
Select the correct answer.
Which graph represents the solutions to this equation?
x2 + 8x = -20
(as a graph pls!)
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Answer:
Step-by-step explanation:
2. Factorisation of the algebraic expression 169x2 - 52xy + 4y2
Answers
Answer:
(13-2y)(13-2y)
Step-by-step explanation:
Algebraic identity of x^2-2ab+b^2
Consider the probability statements regarding events A and
B below.
P(A or B) = 0.3
P(A and B) = 0.2
P(AB) =0.8
What is P(B)?
A) 0.1
B) 0.375
C) 0.25
D) 0.667
Answers
The calculated value of the probability of B is (c) 0.25
How to calculate the probability of BFrom the question, we have the following parameters that can be used in our computation:
P(A or B) = 0.3
P(A and B) = 0.2
P(A/B) =0.8
First, we have
P(A/B) = P(A and B)/P(B)
Substitute the known values in the above equation, so, we have the following representation
0.2/P(B) = 0.8
So, we have
P(B) = 0.2/0.8
Evaluate
P(B) = 0.25
Hence, the probability of B is 0.25
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Lee has made a nonrefundable deposit of the first month’s rent (equal to $900) on a
apartment lease to 6 months. The same day later Lee finds a different apartment that
he likes just as well, but its monthly rent is cheaper and negotiable. Assume a nominal
rate interest rate of 8% convertible monthly. The rent will be paid monthly and at the
beginning of each month. [8]
(i) Write down the cash flow and compute the present value (to 2 decimal numbers)
of 6 months if Lee rents the first apartment ($900).
(ii) Find the range of the rent (to 2 decimal numbers) of the cheaper apartment such
that Lee would switch to rent the new apartment.
Answers
It would be wiser for the couple to stay in the old apartment and save $1400.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Explanation:
If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,
If they leave, they'll have to forgo $1000.
If they move to their new apartment, they'll pay $900 x 6 = $5400
total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.
It would be wiser for the couple to stay in the old apartment and save $1400.
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What is the range of the function f(x) = -2(6^x) + 3?
0 (-infinity-2]
0 (-infinity,3)
0 [-2,infinity)
0 [3,infinity)
Answers
?
In the table below, y is a linear function of x.
X
-2
1
4
7
10
y
0
9
18
27
36
What is the y intercept of the function
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Answer:
I don't understand the question sorry
Which of the following graphs represents a relation that is not a function
Answers
What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
Answers
Answer:
\(115 \dfrac{1}{2}\:cm^3\)
Step-by-step explanation:
The volume of a rectangular prism is the product of each of the sides of the prism
Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)
the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)
To perform this multiplication, convert mixed fractions to improper fractions first
Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)
\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)
\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)
Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)
\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)
Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)
Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder
\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)
\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)
he roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
x = –1 and x =
Answers
What do you think the message is from the "1936 Nazi Poster" poster?
Answers
Answer:
Become the leader of our nation.
Step-by-step explanation:
Like all Nazi propaganda, the 1936 poster suggests that young Germans are highly capable of becoming leaders of the nation. A young man who must be blond, with teeth and a perfect body. It was unconditional for Nazi propagandists to convince young people to support the goals and policies of the political party.
On the other hand, the leaders of the Nazi youths sought to integrate the children into the national Nazi community and prepare them to serve as soldiers in the armed forces or, later, in the SS.
Find the union and interesection of each of the following A={3,6,9,12}, B ={6,8,9}
Answers
Answer:
Hello,
The answer would be,
A union B = {3,6,9,12}
and A intersection B= {6,9}
Answer:
\(\huge\boxed{ A\ union \ B = \{3,6,8,9,12\}}\)
\(\huge\boxed{A\ intersection \ B = \{6,9\}}\)
Step-by-step explanation:
A = {3,6,9,12}
B = {6,8,9}
A∪B = {3,6,9,12} ∪ { 6,8,9} [Union means all of the elements should be included in the set of A∪B]
=> A∪B = {3,6,8,9,12}
Now,
A∩B = {3,6,9,12} ∩ {6,8,9} [Intersection means common elements of the set]
=> A∩B = {6,9}
(9, 23) is a point on the graph y = f(x)
Which point must be on the graph of y = f(x) + 4 ?
A (9, 19) B (13, 23) C (5, 23)
D (9, 27)
Answers
Answer:Option (d)
Step-by-step explanation: D (9, 27)
How are triangleABC and triangle ADE related? How do you know pls explain.
Answers
Triangle ABC and ADE are similar triangles
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.
It has been shown that angles in ABC and ADE are equal.
To show that the ratio of corresponding sides are equal
6/12 = 8/16 = 10/20
The ratios all give a value of 1/2
Therefore we can say that the triangles ABC and ADE are similar.
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The sum of 4x^2-3x+6-7x^2+3x+6
Answers
Answer:
-3x^2 + 12
Step-by-step explanation:
You combine like terms. So 4x^2 -7x^2, 3x-3x, 6+6.
Answer:
-3x^2+12
Step-by-step explanation:
4x^2-3x+6-7x^2+3x+6
collect like terms:
4x^2-7x^2-3x+3x+6+6
-3x^2+12
since -3x+3x have opposite sign the result is 0 so remove them from the expression
The answer will be : -3x^2+12
Which statement describes the congruent triangles?
∆WXZ=∆YZX
∆WXZ=∆YXZ
∆WXZ=∆XYZ
∆WXZ=∆ZYX
Answers
Answer:
A) WXZ=YZX
Step-by-step explanation:
WXZ=YZK
help Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answers
Answer:
cos A = \(\frac{35}{37}\)
Step-by-step explanation:
cos A = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{35}{37}\)
what's an isosceles triangle; triangle with 2 equal sides; area of isosceles triangle
Answers
The length of 2 sides and an angle between them is given A = ½ × b × c × sin(α) If two angles and the length between them is given A = For an isosceles right triangle A = ½ × a.
How big is an isosceles triangle?
If the height (i.e. the altitude) and base of an isosceles triangle are known, the area can be easily calculated. The area of the isosceles triangle is calculated by multiplying the height by the base and dividing by two. As a result, an isosceles triangle has two equal sides and two equal angles. The name is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.
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Which lists all the factors of 78?
Answers
Answer:
1, 2, 3, 6, 13, 26, 39, and 78
Step-by-step explanation:
:)
Last week, Jada ran 2 7/10 miles. This week, she plans to run 5 times as far as last week.
How many miles does Jada plan to run this week?
Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
13.5 miles or 27/5 miles
Step-by-step explanation:
2 7/10 is equal to 2.7 If she plans to run 5 times as much as last week, multiply 2.7 by 5.
2.7*5=13.5
This item is $9000 dollar and it is 90% off how much is the item? Step by step?
Answers
Answer:
The item costs $900 after the 90% off.
Step-by-step explanation:
After the 90% off discount, the item costs (100% - 90%) the cost of the original price.
Hence, \(\$9000 \cdot (100\% - 90\%)\)
\(= \$9000 \cdot 10\%\)
\(= \$900\)
Hope this helped!
Answer:
$900
Step-by-step explanation:
→ Multiply the 2 numbers together
9000 × 90 = 810000
→ Divide answer by 100
810000 ÷ 100 = 8100
→ Minus new answer from $9000
$9000 - $8100 = $900
Write an expression to represent the
total area as the sum of the areas of
each room.
11(7 + 4) =
? · 7+11.
?
Answers
11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of
each room.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
11 (7 + 4)
Using the property of multiplication over addition.
11 x 7 + 11 x 4
Thus,
11 x 7 + 11 x 4.
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Express b+1/3b-2 with “b” as the subject
Answers
Answer:
b = \(\frac{1+2a}{3a-1}\)
Step-by-step explanation:
Given
a = \(\frac{b+1}{3b-2}\) ( multiply both sides by 3b - 2 )
a(3b - 2) = b + 1 ← distribute left side
3ab - 2a = b + 1 ( subtract b from both sides )
3ab - b - 2a = 1 ( add 2a to both sides )
3ab - b = 1 + 2a ← factor out b from each term on the left side
b(3a - 1) = 1 + 2a ( divide both sides by 3a - 1 )
b = \(\frac{1+2a}{3a-1}\)
Answer:
\(→a = \frac{(b + 1)}{(3b - 2)} \\ a(3b - 2) = (b + 1) \\ 3ab - 2a = b + 1 \\ 3ab - b = 2a + 1 \\ b(3a - 1) =( 2a + 1) \\ \boxed{b = \frac{(2a + 1)}{(3a - 1)} }✓\)
b = (2a+1)/(3a-1) is the right answer.ms. simonaue and Mrs. law are racing in the big race. Their distance in meters and their time is measured in seconds. Ms. Simonaue ride is described in the equation.
\(y = \frac{3}{2} x + 4\)
what is the description to match the equation. what is her rate? did she get a head start?
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Answer:
She started 4 meters ahead and moves forward 1.5 meters every second.
The rate is 1 and 1/2 meters per second and she did get a head start of 4 meters
Suzie is 20 and wants to retire at the age of 50. If she invests a $100,000 inheritance at 8.4% compounded
monthly, how much will she have when she turns 50?
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Answer:
I need a picture
Step-by-step explanation:
sorry 100,000 +20 =100,020
Find the value of SU
Answers
Answer:
A
Step-by-step explanation:
yw
Given that mAngleKLH = 120° and mAngleKLM = 180°, which statement about the figure must be true?
AngleHLM is bisected by Ray L J .
AngleGLJ is bisected by Ray L H .
mAngleKLG = mAngleHLJ
mAngleHLI = mAngleILM
Answers
The measure of the angle of the straight line is equal to 180 degrees. the measure of the ∠HLI and ∠ILM is equal to the which is 30 degrees. Thus option 4 is the correct option.
What are lines and angles?An endlessly long row of evenly spaced dots that spans in both directions makes up a line. Its length is the only dimension it has. A geometry called an angle is created when two line segments, lines, or rays intersect.
Given information-
The measure of the angle KLH is 120 degrees.
The image is attached below for the given problem.
The angle of the straight line
The measure of the angle of the straight line is equal to 180 degrees.
The line KLM is a straight line thus the angle of the line KLM is equal to 180 degrees.
The value of the angle ILH is 30 degrees given in the figure.
The value of the angle KLH is given in the question which is equal to 120 degrees. Thus,
∠KLM = ∠ILM + ∠KLH + ∠ILH
Take the angle KLH and the angle ILH on the other side,
∠ILM = ∠KLM - ∠KLH - ∠ILH
∠ILM = 180 - 120 - 30
∠ILM = 30
Thus the measure of the is 30 degrees.
As the measure of the is equal to the which is 30 degrees. Thus option 4 is the correct option.
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Answer:
d. mAngleHLI = mAngleILM
Step-by-step explanation:
trust
Eugene and Jessica each improved their yards by planting hostas and geraniums. They bought
their supplies from the same store. Eugene spent $150 on 18 hostas and 6 geraniums. Jessica
spent $113 on 7 hostas and 16 geraniums. Find the cost of one hosta and the cost of one
geranium.
Answers
The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.
Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.
From the information given, we can set up the following equations:
Eugene's spending:
18h + 6g = $150
Jessica's spending:
7h + 16g = $113
We can now solve this system of equations to find the values of 'h' and 'g'.
Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:
36h + 12g = $300
21h + 48g = $339
Now, we can subtract the second equation from the first to eliminate 'h':
(36h + 12g) - (21h + 48g) = $300 - $339
36h - 21h + 12g - 48g = -$39
15h - 36g = -$39
Simplifying further, we have:
15h - 36g = -$39
Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.
Let's solve for 'h':
15h = 36g - $39
h = (36g - $39) / 15
Substituting this value of 'h' into Eugene's equation:
18[(36g - $39) / 15] + 6g = $150
(648g - $702) / 15 + 6g = $150
648g - $702 + 90g = $150 * 15
738g - $702 = $2250
738g = $2250 + $702
738g = $2952
g = $2952 / 738
g ≈ $4
Now, substituting the value of 'g' back into Eugene's equation:
18h + 6($4) = $150
18h + $24 = $150
18h = $150 - $24
18h = $126
h = $126 / 18
h ≈ $7
Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
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