Answer:
Two figures are similar if they have the same shape:
For example, two rectangles are similar if the quotient between length and wide is the same.
Now, we know that one of the rectangles is 6cm by 4cm.
The quotient of the lengths is 6cm/4cm = 3/2
Here we have a problem; you wrote
" Another rectangle with adjacent
sides o on and x cm ....."
I guess that this means:
The other triangle has one side with a measure of x cm, and the other side will have the lenght A, a constant number that you can complete after.
Now, if this new triangle is similar to the first one, then we must have;
If x > A.
x/A = 6cm/4cm = 3/2
x = (3/2)*A.
if x < A
A/x = 6cm/4cm = 3/2
x = (2/3)*A
There you have the two possible values of x, for a known A.
Factor .
X2-x-56=0
PLEASE HELP!!!
Answer:
use factoring x (see attachment)
-8 x 7 = -56
-8 + 7 = -1
(x - 8)(x + 7) = 0
x = 8, -7
hope this helps :)
2.) Calculate x, to the nearest tenth of a meter
Answer:
63.4°
Step-by-step explanation:
The following data were obtained from the question:
Opposite = 6 cm
Adjacent = 3 cm
Angle x =?
The value of angle x can be obtained as follow:
Tan x = Opposite/Adjacent
Tan x = 6/3
Tan x = 2
Take the inverse of Tan.
x = Tan¯¹ 2
x = 63.4°
Therefore, the value of angle x is 63.4°
Answer:
63.4°
Step-by-step explanation:
Elvia is job shadowing for an internship. She is required to complete at least 48 hours of shadowing in her chosen career. Elvia can shadow for 2 hours on weekdays and 6 hours on weekends. Which graph represents the number of weekdays and weekends that Elvia can shadow to meet her requirements?
A.) Picture 1
B.) Picture 2
C.) Picture 3
D.) Picture 4
The Answer is A.)
A picture of my answer
The speed at which a bike travels can be determined by the formula s=d/t, where S represents speed, D represents distance, and T represents time. Select yes or no to indicate if the measurement unit given is an appropriate measurement unit for the speed at which a bike travels
Answer:
Yes, No, Yes
Step-by-step explanation:
Yes for m/s which is meters per second.
No for min/ft which is reversed and should be feet per minute.
Yes for km/h which is kilometers per hour.
The correct unit for speed is distance per time.
Answer:
MPH
Step-by-step explanation:
Which statement about this figure is true? Pls give an explanation
Answer:
The correct option is;
It has no reflectional symmetry
Step-by-step explanation:
Reflectional symmetry is one such that a line can be drawn across a shape or figure and the shape or figure on either side of the line is the equivalent of the reflection image obtained from a mirror
Lines of reflectional symmetry can be found in squares, circles, and triangles
The characteristics of the object that has line of reflection symmetry remains the same across the line of symmetry
Two dimensional objects have lines of symmetry while three dimensional objects have planes of symmetry.
A small airplane can fly 12 miles in 3 minutes. At this rate, how far can the airplane fly in 1 hour?
Answer:
The airplane can fly up to 240 miles in a hour
Step-by-step explanation:
Cross multiply
(12)(60)=3x
720=3x
Divide 3 on both sides
x=240
There are 60 minutes in 1 hour.
60 ÷ 3 = 20
12 × 20 = 240
In one hour, the airplane could fly at 240 miles.
Write the equation of a function whose parent function, f(x) = x + 8, is shifted 2 units to the right.
Answer:
[tex]\huge\boxed{f(x - 2) = x + 6}[/tex]
Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x + n) - shift the graph n units to the left
f(x - n) - shift the graph n units to the right
===========================================
f(x) = x + 8
shift the graph 2 units to the right
f(x - 2) = (x - 2) + 8 = x - 2 + 8 = x + 6
The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIj is a _______
followed by a _______
1.
A.Reflection across the y axis
B.90 degree counter clockwise rotation about point A
C.90 degree clockwise rotation about point A
D. 90 degree counter clockwise rotation about point B
2.
A.Clockwise rotation about point B and a translation 20 units down
B.reflection across the y axis and a translation 20 units down
C. Reflection across the x axis and a translation 15 units down
D. Reflection across the y axis and a translation 25 units down
Plz respond quick
Answer:
1).
A. Reflection across the y axis.
2).
A. Clockwise rotation about point B and a translation 20 units down.
The sequence of transformation that can be performed on quadrilateral
ABCD to show that is congruent to GHIJ is a B. 90 degree counter
clockwise rotation about point A followed by a B. Reflection across the y-
axis and a translation 20 units down
Reasons:
Rotation 90° counterclockwise about the point AThe coordinates of the point (x, y) following a rotation of 90°
counterclockwise is the point (-y, x)
Taking point A as the origin
The coordinates of point A = (15, 10)
Coordinates of the points B, relative to the point A = (0, 10)
Coordinates of the points C, relative to the point A = (5, 5)
Coordinates of the points D, relative to the point A = (5, -5)
The location of the image of point B, following a rotation about the point A, is therefore;
B'(-10 + 15, 0 + 10) = B'(5, 10), C'(-5 + 15, 5 + 10) = C'(10, 15), D'(5 + 15, 5 + 10) = D'(20, 15)
Reflection across the y-axisThe coordinates of the image of the point (x, y), following a reflection
across the y-axis is the point (-x, y). The coordinates of the parallelogram
A'B'C'D' following a reflection across the y-axis are the point B''(-5, 10),
C''(-10, 15), D''(-20, 15) A''(-15, 10). The coordinates of the quadrilateral GHIJ
are; G(-15, -10), H(-5, -10), I(-10 - 5), J(-20, -5)
Translation 20 units downThe x-coordinates of the quadrilaterals A''B''C''D'', and GHIJ are the same,
therefore, we translate A''B''C''D'', 20 units down to get;
B'''(-5, -10), C'''(-10, -5), D'''(-20, -5) A'''(-15, -10)
Coordinates of A'''(-15, -10) = G(-15, -10)
Coordinates of B'''(-5, -10) = H(-5, -10)
Coordinates of C'''(-10, -5) = I(-10 - 5)
Coordinates of D'''(-20, -5) = J(-20, -5)
Therefore;
The sequence of transformation that can be performed on quadrilateral
ABCD to show that is congruent to GHIJ is a;
B. 90 degree counter clockwise rotation about point AFollowed by a;
B. Reflection across the y-axis and a translation 20 units downLearn more here:
https://brainly.com/question/1593448
17.A company produces three sizes of a dog
25 house: small, medium, and large. The
small dog house sells for $80, the
medium size for $110, and the large for
$140. The small dog houses cost $50
each to make, medium $70 each, and
large $79 each. Let s represent the
number of small size dog houses, m
represent the number of medium size
dog houses and L represent the number
of large size dog houses. Write an
expression in simplest form for the net
profit.
Answer:
10s+40m+61l=net profit
Step-by-step explanation:
subtract the value you pay from the value you charge
Which answer choice is equivalent to the expression below? Negative 7 (2 + n) + one-third (negative 9 minus 6 n) Negative 17 minus 9 n Negative 14 minus 12 n 11 + 5 n 14 + 2n
Answer:
a. -17 -9n
Step-by-step explanation:
Question written clearly below:
Which answer choice is equivalent to the expression below?
-7(2+n)+1/3(-9-6n)
a.-17 -9n
b, -14-12n
c. 11+5n
d. 14+2n
Solution
-7(2+n)+1/3(-9-6n)
Open parenthesis
(-14-7n)+(-9/3-6/3n)
= -14-7n+(-3-2n)
= -14-7n-3-2n
Collect like terms
= -14-3-7n-2n
= -17-9n
The answer is option a. -17 -9n
Answer:
-17 -9n
Step-by-step explanation:
i got it right on edge
A man is 26 years older than his son. He is also 8 years older than three times his son’s age. Find the son’s age. A. 9 years B.10 years C. 12 years D. 14 years
Answer:
9 years
Step-by-step explanation:
hope it helps the
the explanation is kinda long
Please help mee What is the smallest positive integer whose proper divisors add up to more than the integer itself?
Answer:
12
Step-by-step explanation:
The proper divisors of 12 are
1 2 3 4 6
Add those together you get 16
plzzz helpp ASAP 1. Why is it important to know what the limitations of a particular model are? A. so you can create a prototype based on your model B. so you don't make the mistake of confusing an object and a system C. so you can revise your model to represent every property of the real thing D. so you don't confuse properties of the model with properties of the real thing
2. Mathematical and computer models are similar because both involve _____. A. using calculations to represent an object or system B. comparisons between an object or system and something familiar C. building a complex object or system isolated from the natural world D. creating real-life objects that show features of the modeled object or system
3. Some models can illustrate a system. What does the term system refer to? A. a collection of interacting things B. a set of rules or laws about things C. something with advantages and limitations D. something illustrating parts of a real-life thing
4. J.J. Thomson's Plum Pudding Model is an example of _____. A. a picture B. an analogy C. a prototype D. a mathematical model
5. An advantage of describing a cell as being like a factory is that it _____. A. makes cells easier to understand B. shows the limitations of cells clearly C. prevents having to study the complexities of cells D. is cheaper to do experiments in a factory than on a cell
6. Scientists like using models because they are often _____ than the real thing. A. more accurate B. more enjoyable to study C. cheaper and more complex D. cheaper and easier to work with
7. An advantage of J.J. Thomson's Plum Pudding Model was that it _____. A. was a much less expensive way to study atoms B. simplified the calculations necessary to describe an atom C. clearly explained where electrons were located in an atom D. is much less expensive to bake a plum pudding than to look at an atom
8. A small clay model of a volcano is an example of _____. A. an analogy B. a prototype C. a physical model D. a computer model
9. An advantage of using a model instead of the real thing is that models _____. A. include better detail B. can be easier to change C. are much more interesting to study D. don't include any features of the real thing
Answer:
D. so you don't confuse properties of the model with properties of the real thing.
2-Mathematical and computer models are similar because both involve using calculation to represent an object or system
3- Some models can illustrate a system. What does the term system refer to
A. a collection of interacting things
4-J.J. Thomson's Plum Pudding Model is an example of _____B. an analogy
5. An advantage of describing a cell as being like a factory is that it _____
A. makes cells easier to understand
6- C. cheaper and more complex
7-C. clearly explained where electrons were located in an atom
8-C. a physical model
9-B. can be easier to change
GOOD LUCK
Jules adds a border around his mirror. The mirror is shaped like a triangle. Each side is 35\,\text{cm}35cm35, start text, c, m, end text long. How long is the border?
Answer:
105 m
Step-by-step explanation:
Given that Jules has a mirror that has a shape of a triangle, the length of the border Jules would add = the perimeter of the triangular mirror.
The perimeter of the triangular mirror is simply the sum of all the 3 sides of the triangle.
Since, each side is of equal length (35 cm), therefore, perimeter of the mirror = 35 + 35 + 35 = 105 m
Perimeter of mirror = length of border to add = 105 m
The border is 105 m long.
Which was one of the goals for some advocates of the Progressive movement?
A: conservation
B: laissez-faire economy
C: welfare
D: establishment of a national bank
Answer:
d
Step-by-step explanation:
Select the correct answer.
Which table shows a proportional relationship between x and y?
x y
1
5
2
6
3
7
x y
2
3
4
6
6
9
x y
4
16
8
64
12
144
x y
1
3
2
9
3
27
Answer:
I think
x y
2
3
4
6
6
9
Step-by-step explanation:
but i don't see any table
Kabir wants to know the volume of a solid right pyramid with a square base.
52.85 rounded to the nearest tenth
Answer: 52.9
Step-by-step explanation:
The value 5 is rounded up.
Hope it helps <3
Answer:
52.9
Step-by-step explanation:
round up using the last number. since its 5, you round up
What is the vertex of the quadratic equation below? y=x^2-8x+1 Explanation?
To find the vertex, you need to find the axis of symmetry first.
In order to find the axis of symmetry we have to do -b/2a.
In our case, the b is -8 and the a is 1.
Plug it in.
-(-8)/2(1)
8/2 = 4
Our axis of symmetry is 4.
Now, we plug it into the equation to find the rest of the vertex.
y = 4^2 - 8(4) + 1
y = 16 - 32 + 1
y = -16 + 1
y = -15
Put it together.
Our vertex is (4,-15).
Which property justifies this statement?
If x=3, then x−3=0.
Answer:
Step-by-step explanation:
identitiy property
A 14 foot ladder is leaning against a building. The ladder makes a 45 degree angle with the building. How for up the building does the ladder reach?
Answer:
[tex]7\sqrt{2}[/tex]
Step-by-step explanation:
Use trigonometry.
sin 45 degrees = x/14
plug in values and you get x = [tex]7\sqrt{2}[/tex]
Answer:
72
Step-by-step explanation:
The side length of each square is 6 units. Find the areas of the inscribed shapes.
Answer:
a) 18
b) 20
c) 12
d) 12
Step-by-step explanation:
a) The triangle is half of the square, so you can find the area of the square(36) and divide by 2: so 18
b) There are 4 same sized blank triangles with area of 4 ( (2*4)/2 ) so 4 * 4 is 16. 16 is the blank area so the area of the shaded is 36 - 16: 20
c) There are 2 blank triangles which areas are 6, and 18, so you subtract those numbers from 36: 36 - (6+18) = 12
d) Another 2 same blank triangles with areas of 12 ( (6 *4)/2 )so you subtract them from 36 too: 36 - (12*2) = 36 - 24 = 12
There are 86{,}40086,40086, comma, 400 frames of animation in 111 hour of anime. How many frames are there per second? There are 3600 seconds in one hour
Answer
24 frames per second
Step-by-step explanation:
Total frames=86,400
Total time=1 hour
Find frame per second
1 hour= 60 minutes*60 seconds
1 hour=3600 seconds
Frame per second=Total frames/Total number of seconds
=86,400/3600
=24 frames per second
The monthly membership fee for a social club is $10.00. A member is charged an additional fee whenever he or she participates in a social event organized by the club. The additional fee for participation is $35.00 per event. For one month, Amanda was charged $115.00. In how many social events did Amanda participate during the month?
The number of social events will be 3.
What is an expression?Numeral variables and operations marked by the signs for addition, subtraction, multiplication, and division are combined in the mathematical equation.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented using mathematical symbols. They can also signify other characteristics of logical grammar, such as the operation order.
Given that a social club's monthly membership cost is $10. Every time a member takes part in a social event that the club hosts, a separate cost is applied. A $35.00 participation fee is charged for each event. Amanda was charged $115.00 for a month.
The number of events will be calculated as follows:-
TC = 10 + 35N
115 = 10 + ( 35 x N)
N = ( 115 - 10 ) / 35
N = 105 / 35 = 3
Therefore, the number of social events will be 3.
To know more about an expression follow
https://brainly.com/question/9390127
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Here are two sets of cards.
X has the same value on both cards.
Each set of cards has a range of 4.
Work out the value of X
Answer:
3
Step-by-step explanation:
In Set A, the minimum is 4 and the maximum is 7 without X which would make the range 7 - 4 = 3 but we want the range to be 4, therefore X has to be 4 + 4 = 8. Unfortunately, this would then make the range of Set B 8 - 1 = 7 so X has to be the smallest number in Set A which would be 7 - 4 = 3.
Because 10 is a multiple of 90
Answer: 10 is a multiple of 90
Step-by-step explanation:
90/10 = 9. Because 9 is a whole number, 10 is a factor of 90, and 90 is a multiple of 10.
Hope it helps <3
Answer:
Step-by-step explanation
:
Why is 10 a multiple of 90?
simply
10 · 9 = 90
Hope is the coach of the Wilson High School girls' soccer team. There are 3 minutes left in the game they are currently playing, and they are losing by 1 goal. In the past, when losing by 1 goal, Hope has pulled a defender out of the game and replaced her with a forward a total of 9 times. When in the same position, she has left the defender in the game 10 times. In the situations when Hope has pulled her defender, the team has lost 4 times, tied 2 times, and won 3 times. In situations when she has left her defender in the game, the team has lost 1 time, tied 3 times, and won 6 times. Based on the information above, if the goal is to either tie or win the game, should Hope pull the defender or leave her in the game?
Answer:
Hope should not pull her defender.
Step-by-step explanation:
When Hope has pulled her defender:
The team had lost 4 times, tied 2 times, and won 3 times.
Hence, the total number of times she meets her goal is:
6 times (Since the goal is to either tie or win the game )
Hence, the probability that she meets her goal is = 6/9=2/3=0.66
When she left her defender in the game:
The team has lost 1 time, tied 3 times, and won 6 times.
Hence, the total number of times she meets her goal is: 9
Hence, the probability that she meets her goal is: 9/10=0.9
As the probability of meeting her goal is more when she left her defender in the game is more.
Hence, Hope should not pull her defender.
HELP MEEEEEEE please
Answer:
scale factor = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Consider the ratio of corresponding sides, image to original, that is
scale factor = [tex]\frac{T'V'}{TV}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
(ii) Atrader gets a profit of 20% by selling an item for £ 150. Find the buying in price.
(iii) A bank charges 12% per annum on loans. If a person borrowed a loan of
£ 20000 find the total amount that he has to repay after one year.
(a) Six workers can build a wall in 10 days. At the same rate how many
workers are needed to complet in 4 days.
(c) How many extra workers to be employed ?
Answer:
ii) £120
iii) £2,400
a) 10 workers
c) 4 workers more to be employed.
Step-by-step explanation:
ii) To find the buying price we deduct 20% (percent) from the selling price of £150.
= 20/100 x 150
= £30 (Next we substract this value from the selling price of £150) = €150 - £30 = £120
iii) A 12% interest per annum Implies a 12 percent of the borrowed amount of 20,000, which is calculated as
12% or 12/100 x 20,000 = £2,400
a) Put simply, we create an equation for the problem.
4 men * 10 days = 40 man days.
X men * 4 days = 40 man days.
Let's substitute the equation:
(X/ 4) * (4/ 10) = 40 / 40
(X/4) * 0.4= 1 (collect like terms)
0.4 * x = 4
0.4x/0.4= 4/0.4
x = 10 workers.
(c) 4 extra workers to would need to be employed since we have six already available (10-6=4).
I need the answer now
Answer:
i) TRUE
ii) TRUE
iii) TRUE
Step-by-step explanation:
[tex](ab+bc)(ab-bc)+(bc+ca)(bc-ca)+(ca+ab)(ca-ab)=\\\\=\underline{(ab)^2}-(bc)^2\ \,+\ \,(bc)^2-(ca)^2\ \,+\ \,(ca)^2-\,\underline{(ab)^2}=\\\\=0+0+0=0[/tex]
[tex](a+b+c)(a^2+b^2+c^2-ab-bc-ca)=\\\\=a^3\,\underline{\,+ab^2}\ \underline{\underline{+\,ac^2}}\,-a^2b\ -\,abc\ \underline{\underline{\underline{-\,a^2c}}}+a^2b+b^3+bc^2\,\underline{-\,ab^2}\ \underline{\underline{\underline{ \underline{-\,b^2c}}}}\,-\,abc+\\{}\qquad\qquad\qquad\qquad\qquad\qquad \qquad\qquad \underline{\underline{ \underline{+\,a^2c}}}\ \underline{\underline{\underline{\underline{+\,b^2c}}}}+c^3\,-\,abc-bc^2\ \underline{\underline{-c^2a}}=[/tex]
[tex]=a^3\ \underline{-\,a^2b}\ \underline{\underline{-\,abc}}\ \underline{+\,a^2b}+b^3\ \underline{\underline{\underline{+\,bc^2}}}\ \underline{\underline{-\,abc}}+c^3\ \underline{\underline{-\,abc}}\ \underline{\underline{\underline{-\,bc^2}}}=\\\\=a^3+b^3+c^3-3abc[/tex]
[tex](p-q)(p^2+pq+q^2)=\\\\=p^3\ \underline{+\,p^2q}\ \underline{\underline{+\,pq^2}}\ \underline{-\,p^2q}\ \underline{\underline{-\,pq^2}}-q^3=\\\\=p^3-q^3[/tex]
Answer: see proofs below
Step-by-step explanation:
7i) (ab + bc)(ab - bc) = a²b² - ab²c + ab²c - b²c² → a²b² - b²c²
+ (bc + ca)(bc - ca) = b²c² - abc² +abc² - a²c² → b²c² - a²c²
+ (ca + ab)(ca - ab) = a²c² - a²bc + a²bc - a²b² → a²c² - a²b²
= a²b² + 0 + 0 - a²b²
= 0
7ii) a(a² + b² + c² - ab - bc - ca) = a³ + ab² + ac² - a²b - abc - a²c
+ b(a² + b² + c² - ab - bc - ca) = b³ - ab² + bc² + a²b - abc - b²c
+ c(a² + b² + c² - ab - bc - ca) = c³ - ac² - bc² - abc + a²c + b²c
= a³ + b³ + c³ + 0 + 0 + 0 + 0 - 3abc + 0 + 0
= a³ + b³ + c³ - 3abc
7iii) p(p² + pq + q²) = p³ + p²q + pq²
-q(p² + pq + q²) = - p²q - pq² - q³
= p³ + 0 + 0 - q³
= p³ - q³