In a rectangle the length of diagonal AC is given by (20x+12)&BDis (14x+24)cm find AC&BD
Answers
Answer:
52cm, based on my understanding of the question.
Step-by-step explanation:
See attached image. Please confirm my understanding of the question.
Related Questions
Let f(x)=4x and g(x)=4x+1−2. Which transformations are needed to transform the graph of f(x) to the graph of g(x)? Use the drop-down menus to complete the statements.
Answers
horizontal transformation 1 unit left.
vertical translation 2 units down.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
f(x) = [tex]4^{x}[/tex]
g(x) = [tex]4^{x+1} -2[/tex]
As, we can see that g(x) is shifted left side by 1 unit
So, horizontal transformation 1 unit left.
Now, as 2 is subtracted
So, vertical translation 2 units down.
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consider the series 1/4 1/16 1/64 1/256 which expression defines sn
Answers
This is a geometric progression
Common ratio=1/16÷1/4 =1/4first term =a=1/4So
The general formUla is
[tex]\\ \rm\Rrightarrow a(n)=ar^{n-1}[/tex]
[tex]\\ \rm\Rrightarrow a(n)=\dfrac{1}{4}\left(\dfrac{1}{4}\right)^{n-1}[/tex]
Answer:
[tex]\displaystyle \lim_{n \to \infty} \dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]
Step-by-step explanation:
Series: the sum of the elements of a sequence.
Therefore, as the numbers have been defined as a series and we need to find [tex]S_n[/tex]:
[tex]\dfrac{1}{4}+\dfrac{1}{16}+\dfrac{1}{64}+\dfrac{1}{256}+...[/tex]
First determine if the sequence is arithmetic or geometric.
If it is an arithmetic sequence, there will be a common difference between consecutive terms.
if it is a geometric sequence, there will be a common ratio between consecutive terms.
From inspection of the terms, we can see that there is a common ratio of 1/4, as each term is the previous term multiplied by 1/4, so it is a geometric series.
Sum of the first n terms of a geometric series:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Given:
[tex]a=\dfrac{1}{4}[/tex]
[tex]r=\dfrac{1}{4}[/tex]
Substitute the values of a and r into the formula:
[tex]\implies S_n=\dfrac{\frac{1}{4}\left(1-\left(\frac{1}{4}\right)^n\right)}{1-\frac{1}{4}}[/tex]
[tex]\implies S_n=\dfrac{\frac{1}{4}\left(1-\left(\frac{1}{4}\right)^n\right)}{\frac{3}{4}}[/tex]
[tex]\implies S_n=\dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]
Therefore:
[tex]\displaystyle \lim_{n \to \infty} \dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]
Considering the activity series given below for metals and nonmetals, which reaction will occur? al > mn > zn > cr > fe > cd > co > ni > sn > pb > h > sb > bi > cu > ag > pd >hg > pt f > cl > br > i 2nabr i2 right arrow. 2nai br2 2fe al2o3 right arrow. 2al fe2o3 2agno3 ni right arrow. ni(no3)2 2ag pb zn(c2h3o2)2 right arrow. zn pb(c2h3o2)2
Answers
The activity series is an arrangement of species in order of reactivity.
What is the activity series?The activity series is an arrangement of species in order of reactivity. The position of a specie in the series determines the possibility of certain reactions.
The following are the fates of these reactions;
2NaBr + I2--------->2NaI + Br2 - Not possible2Fe + Al2O3 ----------> 2Al + Fe2O3 - Not possible2AgNO3 + Ni ----------> Ni(NO3)2 + 2Ag - possiblePb + Zn(C2H3O2)2 ----------> Zn + Pb(C2H3O2)2 - Not possibleLearn more about activity series:https://brainly.com/question/18080147
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Match each expression with its value 2,-9,-1, or undefined
G(-0.0001)
G(0)
G(0.0001)
G(9)
Answers
By looking at the graph of the piecewise function, we can see that:
G(-0.001) = -9G(0) = -1G(0.0001) = -1G(9) is not defined.How to evaluate the piecewise function?
On the graph, we have a piecewise function, which we want to evaluate in some different values.
First we have x = -0.0001
This value belongs to the interval (-5, 0), and by looking at the graph, you can see that the function on that interval is equal to -9, then:
G(-0.0001) = -9
x = 0
x = 0 belongs to the interval [0, 9). On that interval the function values -1. (x = 0 belongs to that interval because we have a closed dot). Then we conclude
G(0) = -1
x = 0.0001
This value also belongs to the interval [0, 9)
Then G(0.0001) = -1
Finally, x = 9.
If you look at the domain of the function, you can see that there is an open dot at x = 9.
This means that x = 9 does not belong to that domain, so:
G(9) is not defined.
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HELPPPP ASAAPPPP PLEASEEEE
Answers
(A) n=w by the corresponding angles theorem.
(B) This is the correct answer. n=s by the vertical angles theorem and s and x are supplementary by the same-side interior angles theorem. Thus, n and x are supplementary and not always equal.
(C) n=z by the alternate exterior angles theorem.
(D) s=w, so (s+w)/2 = (s+s)/2 = s. Since n=s by the vertical angles theorem, n=s.
(E) n and w are equal by the corresponding angles theorem, and w and y are supplementary as they form a linear pair. Thus, n+y=180, and it follows n=180-y.
can someone please help me
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: f(0) = -3 [/tex]
[tex]\qquad \tt \rightarrow \: f(2) = 1[/tex]
[tex]\qquad \tt \rightarrow \: f(4) = 1 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
F(x) represents the value of y on curve for given value of x
[tex] \textsf{\large First -} [/tex]
[tex]\qquad \tt \rightarrow \: f(0) =( 0) {}^{2} - 3[/tex]
[ since 0 < 2 ]
[tex]\qquad \tt \rightarrow \: f(0) = 0 {}^{} - 3[/tex]
[tex]\qquad \tt \rightarrow \: f(0) = - 3[/tex]
[tex] \textsf{\large Second} [/tex]
[tex]\qquad \tt \rightarrow \: f(2) = (2) {}^{2} - 3[/tex]
[ since 2 = 2 ]
[tex]\qquad \tt \rightarrow \: f(2) = 4{}^{} - 3[/tex]
[tex]\qquad \tt \rightarrow \: f(2) = 1[/tex]
[tex] \textsf{\large Third -} [/tex]
[tex]\qquad \tt \rightarrow \: f(4) = - 4 + 5[/tex]
[ since 4 > 2 ]
[tex]\qquad \tt \rightarrow \: f(4) = 1[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
If a = 6, then the value of c is...
Answers
Answer:
[tex]\boxed{\bf B. \: c = 4 \sqrt{3} }[/tex]
Step-by-step explanation:
Since a = 6, then, b = 3.47 ( opposite of 30°).
By applying the pythagoras theorem..
[tex] \boxed{\bf {h}^{2} = {p}^{2} + {b}^{2}} [/tex][tex]\bf {(c)}^{2} = {(a)}^{2} + {(b)}^{2} [/tex][tex] \bf {c}^{2} = {(6)}^{2} + {(3.47)}^{2} [/tex][tex] \bf {c}^{2} = 36 + 12[/tex][tex]\bf {c}^{2} = \sqrt{48} [/tex][tex]\bf c = 4 \sqrt{3} [/tex]______________________Answer:
4√3 or B
Step-by-step explanation:
If T(x) = x + 0.14x, then find the value of T(290).
Answers
Answer:
330.6
Step-by-step explanation:
You have to enter 290 for x.
T(290) = 290 + 0.14(290)
T(290) = 290 + 40.6
T(290) = 330.6
Erp systems are initially set up to support ________ as opposed to supporting the reporting component
Answers
The ERP system is originally configured to handle the transactional component rather than supporting the reporting component.
What is the ERP System?The ERP System is a form of software used by businesses to handle day-to-day business operations in a company such as finance, marketing, project management, regulatory risk management, as well as, supply chain management.
The primary goal of an ERP system is to improve organizational efficiency by controlling and improving how corporate resources are used. Therefore, the ERP system is originally configured to handle the transactional component rather than supporting the reporting component.
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Given circle with radius of 5cm.
Find out
(a) diameter
(b) perimeter
(c) area
Answers
Answer:
(1) 10
(2) 10π
(3) 25π
Step-by-step explanation:
We are given the radius of the circle which is halfway through a circle. The radius of this circle is 5.
We are required to find the diameter, perimeter, and area using the given data we have been provided with.
Let's start:
#1: Diameter
To find diameter [tex]d[/tex] use formula:
[tex]d=2*r[/tex]
After substituting [tex]r=5[/tex] we have:
[tex]d=2*5\\d=10[/tex]
After calculating, we have found that the diameter of the circle is 10.
#2: Perimeter
The perimeter can also be known as the circumference of a circle as they both measure the outline.
To find circumference [tex]C[/tex] use formula:
[tex]C=2*r*\pi[/tex]
After substituting [tex]r=5[/tex] we have:
[tex]C=2*5*\pi[/tex]
[tex]C=10\pi[/tex]
Convert [tex]10\pi[/tex] to a decimal and round it to the nearest tenth and we have:
⇒ 31.4159265359
⇒ 31.4
After calculating, we have found that the perimeter (or circumference of the circle is 10π or 31.4 (Rounded to the nearest tenth in decimal form).
#3: Area
To find area [tex]A[/tex] use the formula:
[tex]A=r^2*\pi[/tex]
After substituting [tex]r=5[/tex] we have:
[tex]A=5^2*\pi \\A=25*\pi \\A=25\pi[/tex]
Convert [tex]25\pi[/tex] to a decimal and round it to the nearest tenth and we have:
⇒ 78.5398163397
⇒ 78.6
After calculating we have found that the area of the circle is either 25π or 78.6 (rounded to the nearest tenth).
After finding all the required information, we have now completed the answer.
find lim x->2 for f(x)=
{2x+1, x greater than or equal to 2
{x^2, x>2
a. 5
b. 4
c. 5 or 4
d. dne
Answers
LHL in not equal to RHL , Therefore the limit does not exists , Option D is the answer.(none)
What is the limit of a function ?The limit of a function at a certain point is the value that the function approaches as the argument of the function approaches the same point.
It is given that
lim x->2 for f(x)
[tex]\lim_{x \rightarrow 2^-}f(x) = \lim_{x\rightarrow 2^+}f(x)[/tex]
f(x) = 2x+1 x ≤2
f(x)= x² , x >2
When both the function tends to 2
Left Hand Limit
f(x) = 2 *2 +1
f(x) = 5
Right Hand Limit
f(x) = x² ,
f(x) = 4
LHL in not equal to RHL , Therefore the limit does not exists.
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Solve this question, and I'll be extremely thankful (:
Thanks to whoever can do this for me!
-
Problem:
Using Scratch (or whatever programming language you are comfortable with), create code that would allow a user to input the legs of a right triangle and the output would be the length of the hypotenuse.
Create a program that finds the leg of a triangle given the hypotenuse and another leg and add an error message if the leg is longer than the hypotenuse.
Send a screenshot when you're done.
Answers
Answer:
it is in java and it is also can be done in BlueJ
Step-by-step explanation:
please mark me brainlist
which of the following are NOT classified as a trapezoid? Select all that apply
a) rhombuses
b) parallelograms
c) rectangles
d) squares
e) quadrilaterals
Answers
Answer:
[tex]\boxed {a, b, c, d}[/tex]
Step-by-step explanation:
Rhombuses, parallelograms, rectangles, and squares cannot be classified as trapezoids as they have 2 pairs of parallel sides each. But quadrilaterals can be classified as trapezoids if they have a pair of parallel sides and a pair of non-parallel sides.
a) rhombuses
b) parallelograms
c) rectangles
d) squares
Explore sums of complex
numbers by moving points A
and B and noticing how the
sum of those points written
in the expression below
corresponds to the sum
shown geometrically.
Drag the points, A and B, to
produce a result of -3 + 4i.
Answers
The two-point A and B will be -1+2i and -2+2i respectively.
What is the complex number?A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.
The complex number is given as;
x+iy
Where x is the real part and iy is the imaginary part.
The two points added to obtained -3 + 4i are;
A = -1+2i
B= -2+2i
The sum of the two points is;
⇒A+B;
⇒-1+2i + -2+2 i
⇒-3 + 4 i
Hence the two-point A and B will be -1+2i and -2+2i respectively.
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Which figures are polygons?
x
Figure A
Select each correct answer.
Figure B
O Figure A
O Figure B
O
Figure C
O
Figure D
Figure C
Figure D
Answers
Answer:
The answer is figure A, B, C, D.
Step-by-step explanation:
Because, polygon means a shape with more then 1 side, and in your pic all of the figures have more than one side, so that's the answer.
Step 1: We know that Angle A B C Is-congruent-to Angle F G H because all right angles are congruent. Step 2: We know that Angle B A C Is-congruent-to Angle G F H because corresponding angles of parallel lines are congruent. Step 3: We know that Line segment B C is-congruent-to line segment G H because it is given. Step 4: Triangle A B C Is-congruent-to Triangle F G H because of the
Answers
Triangles FGH and ABC are congruent because of the: AAS congruence theorem.
What is the AAS Congruence Theorem?
The AAS congruence theorem states that when two angles and one non-included side in one triangle are congruent to corresponding two angles and one non-included side in another triangle, then both triangles are congruent.
In the proof given, it is established that both triangles have two corresponding congruent angles, and also, BC ≅ GH which are non-included sides.
Therefore, both triangles are congruent because of the AAS congruence theorem.
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If f(x) = 2x^2+3 and g(x)= 5x, evaluate the following: a. f(g(x)) b. g(g(3)) c. g(f(-2))
Answers
Answer:
A = 50x^2+3
B = 75
C = 55
Step-by-step explanation:
[tex]f(x)=2x^2+3\\g(x)=5x[/tex]
A. f(g(x))
[tex]2(5x)^2+3\\2(25x^2)+3\\=50x^2+3[/tex]
B. g(g(3))
[tex]5(5(3))\\5(15)\\=75[/tex]
C. g(f(-2))
[tex]g(2(-2)^2+3)\\g(8+3)\\g(11)\\5(11)\\=55[/tex]
The bar graph shows the number of customers at a nail salon each day for one week. What percent of the customers came on Friday or Saturday? Round your answer to the nearest hundredth of a percent. * I NEED ANSWER*
Answers
Answer:
Friday = 11.43%Saturday = 17.14%Friday & Saturday = 28.57%Step-by-step explanation:
Total number of customers
⇒ 15 + 5 + 10 + 14 + 8 + 12 + 6 = 70
Percentage of customers who came on Friday
[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Friday\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{8}{70} \times 100\\\\& = \sf 11.43\%\:\:(nearest\:hundredth)\end{aligned}[/tex]
Percentage of customers who came on Saturday
[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Saturday\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{12}{70} \times 100\\\\& = \sf 17.14\%\:\:(nearest\:hundredth)\end{aligned}[/tex]
Percentage of customers who came on Friday and Saturday
[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Fri\:and\:Sat\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{8+12}{70} \times 100\\\\& = \sf 28.57\%\:\:(nearest\:hundredth)\end{aligned}[/tex]
28.57 is the answer, and its rounded to the nearest hundredth
The graphs below are both absolute value functions. The equation of the red
graph is f(x) = xl. Which of these is the equation of the blue graph, g(x)?
a. g(x)=|x-2|
b.g(x)=|x+2|
c. g(x)=1/2|x|
d. g(x)=2|x|
Answers
Answer:
c
Step-by-step explanation:
please help asap Part of the proceeds from a garage sale was $540 worth of $5 and $20 bills If there were 3 more bills $5 bills than $20 bills, find the number of each denomination.
Answers
Answer:
15 ($20 dollar bills) and 19 ($10 dollar bills) ! Pretty sure this is correct, if wrong let me know and i'll make a question for you to give your points back, i dont know if i can do that but i can try!! Have a good day.
B varies inversely with c. when b is 2, c is 8. find the value of c when b is 5.
Answers
Answer:
3.2
The value of C when B is 5 is 3.2
Step-by-step explanation:
3x-1=2(x+34) in inches=feet. inches
Answers
Answer:
-69
Step-by-step explanation:
inches:-69
-5 9/12 (-5 3/4 clearer) feet
Explanation in detail:
Write the equation down and distribute it.
3x - 1 = 2(x + 34)
3x - 1 = 2x + 68
Remove the variable on one side first (it makes solving the equation less complicated.)
3x - 1 = 2x + 68
-3x -3x
-1 = -x + 68
On all sides, subtract 68.
-1 = -x + 68
-68 -68
-69 = x
I'm guessing the answer in feet and inches is...
inches:-69
-5 9/12 (-5 3/4 simplified) feet
Under her cell phone plan, Aubree pays a flat cost of $58.50 per month and $3 per gigabyte. She wants to keep her bill at $72.30 per month. How many gigabytes of data can she use while staying within her budget?
Answers
Answer:
Aubree can use 4.6 gigabytes of data while staying within her budget.
If the answer choices only use whole numbers, use 4 gigabytes, because it is the number of full gigabytes she can use.
Step-by-step explanation:
x= gigabyte
58.50 + 3x = 72.30
3x = 72.30-58.50
3x= 13.8
x= 4.6
A pet store has 10 puppies, including 3 poodles, 4 terriers, and 3 retrievers. if rebecka and aaron, in that order, each select one puppy at random without replacement (they may both select the same one), find the probability that they both select a poodle
Answers
Step-by-step explanation:
the problem description is seemingly contradicting itself.
"without replacement" means that you don't put the picked item back into the bag or "pool" of items.
and that means that after Rebecka picked a puppy, Aaron CANNOT pick the same one at all.
but then it says that they both may select the same one. which means it is WITH replacement.
so, what is it now ?
I have to give you both answers, and you will have to clarify with your original question or directly with your teacher what is the true condition.
in any case, a probability is always
desired cases / total possible cases.
WITH replacement (they can both pick the same puppy) :
there are 10 puppies, from which 3 are poodles.
so, total possible cases = 10, desired cases = 3
the probability to pick a poodle at the 1st pick = 3/10.
the picked puppy goes back.
the probability to pick a poodle at the 2nd pick = 3/10.
the probability that both picks are poodles is
3/10 × 3/10 = 9/100 = 0.09
WITHOUT replacement :
the first picked puppy is not returned to the group of 10 puppies, so, it can't be picked again, and the number of available puppies gets less as each puppy is removed. this changes the probabilities.
at the beginning we have 10 puppies, from which 3 are poodles.
the probability to pick a poodle at the 1st pick = 3/10.
the picked puppy does NOT go back.
now we have 9 puppies for Aaron to pick from. and for our desired cases for the second pick we have to combine it with the outcome, that the first pick was a poodle.
that means we have only 2 poodles left in the group of 9 puppies.
the probability to pick a poodle at the 2nd pick = 2/9.
the probability that both picks are poodles is therefore
3/10 × 2/9 = 6/90 = 1/15 = 0.066666666...
Sven makes bread rolls, he uses rye flour and wheat flour to the ratio 2:3. sven makes bread rolls using 250 g of rye flour, what mass of wheat flour does he use
Answers
2/2=1 part
250/2 = 125
so one part = 125g
125*3= 375
he uses 375g of wheat flour
please help me solve this HCF
Answers
Answer:
(x+y)
Step-by-step explanation:
[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
Thus, the HCF is (x+y).
Answer:
(x + y)
Step-by-step explanation:
Factorizing both terms :
x² - y² = (x + y)(x - y)(x + y)² = (x + y)(x + y)The HCF of the terms is (x + y).
The orbital period of a satellite is 2 × 106 s and its total radius is 2.5 × 1012 m. the tangential speed of the satellite is m/s. (round to the nearest whole number, do not add any punctuation.)
Answers
Answer:
7,853.982
Step-by-step explanation:
Edg 2022
PLEASE ANSWER ASAP!!!!!!
What is the component form of the vector represented by 2a when a⃗ =<−2,3>?
Enter the answer in the boxes.
2a= <__,__>
Answers
The complete question is
"What is the component form of the vector represented by 2a when a =⟨−2,3⟩?"
The Component form of the vector represented by 2a is (-4,6)
What is the component form of a vector?The component form of a vector is represented by (x, y) that has gone x units left to the origin and y units up from the origin.
Given, a=(-2,3)
By using scalar multiplication,
2a = (2(-2), 2(3))
2a = (-4,6).
Therefore the component form of 2a=(-4,6)
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Point G is on line segment FH. Given FH=4x+8,FH=4x+8, FG=x,FG=x, and GH=5x,GH=5x, determine the numerical length of \overline{GH}. GH .
Answers
The numerical length of GH is 20.
Given, FH=4x+8, FG=x and GH=5x.
We need to determine the numerical length of GH.
What is a line segment?In geometry, a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.
Given Point G is on the line segment FH, then FG + GH = FH.
Now, substitute the given values into the formula as shown:
x + 5x = 4x + 8
6x = 4x + 8
6x - 4x = 8
2x = 8
x=4
To get the length of GH substitute x=4 for 5x
That is, GH = 5(4)= 20
Hence, the numerical length of GH is 20.
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A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of the central angles has a measure of 40°. How many sides does the polygon have?
8
9
10
12
Answers
Answer:
9
Step-by-step explanation:
