Answers
As you can see triangle DEF has been enlarged from triangle ABC
Two sides are given, so you can find the scale factor.
20/6=10/3=3.3333333
Multiply 24 by 10/3 to get x
Which gives you 80
c=80cm
Related Questions
2. (05.04)
18x - 6
Simplify_9x
(2 points)
1
15x + 5
21x²
Please help!!
Answers
Answer:
i cant cus i am only the age of thirteen
Solve by using elimination. Express your answer as an ordered pair.
Answers
Answer:
(-2, 5)
Step-by-step explanation:
we subtract 6x+3y=3 by 2x+3y=11 to get 4x=-8.
we divide both sides by 4 to get x. x=-2
We subsitute -2 for the second equation to get:
2(-2)+3y=11
=-4+3y=11
=3y=15
y=5
Greetings again.
The answer is (-2,5)
Explanation:
What we need to do is to eliminate either x-term or y-term. Eliminating the terms that you don't have to multiply to get the same terms for both equations is better.
For this one, there're no terms that make 0.
And what do we do if there are no terms that can be eliminated?
The answer is, multiply one of the equation by -1. To make another equation have opposite negative and positive side. -3y + 3y = 0.
I'll multiply -1 in the second equation.
[tex]2x+3y=11[/tex]
Multiply the whole equation by -1.
[tex]2x(-1)+3y(-1)=11(-1)\\-2x-3y=-11[/tex]
Remind that negative multiply positive equal negative.
Now then we replace the old equation with -2x - 3y = -11
[tex]\left \{ {{6x+3y=3} \atop {-2x-3y=-11}} \right.[/tex]
Then add/subtract vertically.
6x-2x = 4x
3y - 3y = 0
3 - 11 = -8
Therefore, we get 4x = -8
[tex]4x=-8\\x=-2[/tex]
Because this is the system of two linear equations. We need to find the y-term/value too.
Substitute x = -2 in any given equations. choose any equations you'd like to substitute in. For me, I'll substitute in the equation with less coefficient value and that is the second equation.
[tex]2x+3y=11[/tex]
Substitute x = -2 in the equation.
[tex]2(-2)+3y=11\\-4+3y=11\\3y=11+4\\3y=15\\y=5[/tex]
Thus, when x = -2, y = 5. Since you want the answer as an ordered pairs. The answer is (-2,5)
In order to set premiums at profitable levels, insurance companies must estimate how much they will have to pay in claims on cars of each make and model, based on the value of the car and how much damage it sustains in accidents. Let C be a random variable that represents the cost of a randomly selected car of one model to the insurance company. The probability distribution of C is given below. The probability that the insurance company will have to pay a claim of at least $1000 for a randomly selected car is:
Answers
Answer:
The answer is "0.35"
Step-by-step explanation:
Please find the complete question in the attached file.
In the given table the distributions of probabilities provided is a continuous spread for both the random variable c.
They need to have a cumulative chance of receiving claims of 4000 or higher to determine the probability of an insurance company ending let's give claims of at least 4000.
So, The right equation for the answer will then be [tex]0.13 + 0.22=0.35[/tex]
Again|||||||||||||||||||||||||||
Answers
Fgfgghrdhuecj it can
Answer:
thank you so much have a great day!!!<3
Step-by-step explanation:
A boy walks 5 ķm at vkm/hr. He then cycles 15 km at 2v km/hr. In terms of v, write down the time taken in hours
1. When walking
2. If the total time for journey is 2h 35min, find the boy's walking speed
Answers
Answer:
The time when walking is 5/v hours
The walking speed is 4 26/31 km/hr
Step-by-step explanation:
Mathematically;
time = distance/speed
So the time taken when walking will be;
5/v
The time taken when cycling will be:
15/2v
The term 2h 35 minutes is same as 2 35/60
= 2 7/12
If we add the whole times together, we get 2 7/12
Thus;
5/v + 15/2v = 2 7/12
5/v + 15/2v = 31/12
(10 + 15)/2v = 31/12
25/2v = 31/12
12 * 25 = 2v * 31
31v = 6 * 25
v = 150/31
= 4 26/31
find the value of trignometric function:
cos 2pie÷3
cos (-450°) fast please
Answers
Step-by-step explanation:
cos2π/3 = -cosπ/3 = -0.5.
cos(-450°) = cos450° = cos90° = 0.
The population of cina is approximately 1.381×10^9 and the population of the united states is approximately 3.23×10^8 about how many people live in both countries combined?Express your answer in scientific notation
Answers
Answer:
The number of people living in both countries is 1.704 x 10⁹
Step-by-step explanation:
Given;
Population of people in China, = 1.381 x 10⁹
Population of people in united states, = 3.23 x 10⁸
The total number of people living in both countries is given as;
Total population = 1.381 x 10⁹ + 3.23 x 10⁸
Total population = 1.381 x 10⁹ + 0.323 x 10⁹
Total population = (1.381 + 0.323) x 10⁹
Total population = 1.704 x 10⁹
Therefore, the number of people living in both countries is 1.704 x 10⁹
Permutations vs combinations(one step):
The bowling team at Lincoln High School must choose a president, vice
president, and secretary. If the team has 15 members, which expression could
be used to determine the number of ways the officers could be chosen?
Answers
Answer:
the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]
and 2730 different ways are possible.
Step-by-step explanation:
In the given question we have to choose a president, vice
president, and secretary.
Permutations are used when order is important so, as in the given question order is required. We would use permutations
The formula used is: [tex]^nP_r=\frac{n!}{(n-r)!}[/tex] where:
n=total number of objects
r=number of objects selected
In our case: n=15, r=3
Putting values and finding the answer:
[tex]^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways[/tex]
So, the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]
and 2730 different ways are possible.
The graph of f (x) = x + 5 is a vertical translation 5 units
up of the graph of f(x) = x. How can you obtain the graph of
f(x) = x + 5 from the graph of f (x) = x using a horizontal
translation?
Answers
Answer:
A horizontal translation of 5 units to the left.
Step-by-step explanation:
Given the parent linear function:
[tex]\displaystyle f(x)=x[/tex]
To shift vertically n units, we can simply add n to our function. Hence:
[tex]f(x)=x+n[/tex]
So, a vertical shift of 5 units up implies that n=5. So:
[tex]f(x)=x+5[/tex]
As given.
However, to shift a linear function horizontally, we substitute our x for (x-n), where n is the horizontal shift. So:
[tex]f(x-n)=(x-n)[/tex]
Where n is the horizontal shift.
For example, if we shift our parent linear function 1 unit to the right, this means that n=1. Therefore, our new function will be:
[tex]f(x-1)=(x-1)[/tex]
Or:
[tex]f(x)=x-1[/tex]
We notice that this is also a vertical shift of 1 unit downwards.
Therefore, we want a number n such that -n=5.
So, n=-5.
Therefore, it we shift our function 5 units to the left, then n=-5.
Then, our function will be:
[tex]f(x-(-5))=(x+5)\text{ or } f(x)=x+5[/tex]
Hence, we can achieve f(x)=x+5 from f(x)=x using a horizontal translation by translating our function 5 units to the left.
Give an example of a rational number that is NOT a whole number.
Answers
Answer:
−3, 8, 32, 7, -5
Step-by-step explanation:
what is the awnser pls help
Answers
Answer:
I think its B 216
Step-by-step explanation:
Because you multiply 12×9×2 and get 216 (I dont know if im right)
Mikey completed 91 oil changes in his shop in 7 days how many can he do in 11 days ?
Answers
Answer:
Step-by-step explanation:
rate=91 completed/7 days=13completed/day
11days(13completed/day)= 143 completed
He can do 143 oil changes
what is the y-value for the maximum/minimum of the function defined by the equation? f(x)=-x^2+32x-49
Answers
Answer:
Minimum Maximum Value is (16,207)
Max is 207
Min is 16
9(p-4)=-189(p−4)=−18
Answers
Answer:
6
Step-by-step explanation:
Answer:
The Correct Answer is 2
Step-by-step explanation:
Trust me for I have the skills of a scientist
Find the centroid of the triangle with these vertices: P (-1,7), Q (9,5), and R (4,3).
The coordinates of the centroid are?
Answers
Answer:
The coordinates of the centroid are:
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
The diagram is also attached below.
Step-by-step explanation:
Given the vertices
P (-1, 7)Q (9, 5)R (4, 3)We know that the intersection of medians brings the centroid of the triangle.
The centroid of a triangle is given by
[tex]O\:=\:\left(\frac{P_x+Q_x+R_x}{3},\:\frac{P_y+Q_y+R_y}{3}\:\right)[/tex]
In this example,
[tex]P_x=-1,\:P_y=7[/tex]
[tex]Qx=9,\:Q_y=5[/tex]
[tex]Rx=4,\:R_y=3[/tex]
substituting in the formula
[tex]O\:=\:\left(\frac{-1+9+4}{3},\:\frac{7+5+3}{3}\:\right)\:\:[/tex]
[tex]O\:=\:\left(\frac{12}{3},\:\frac{15}{3}\:\right)\:\:[/tex]
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
Therefore, the coordinates of the centroid are:
[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]
The diagram is also attached below.
We've been given with the co-ordinates of vertices of the triangle and asked to calculate the co-ordinates of the centroid.
★ Centroid of a triangle :-
[tex]\red{\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} } \: , \: \dfrac{y_1 \: + \: y_2 \: + \: y_3}{3} }} \: \pink\bigstar [/tex]We have :
x₁ = -1x₂ = 9x3 = 4y₁ = 7y₂ = 5y3 = 3Substituting the values :
★ For x co-ordinate:-
[tex]: \: \implies \: \sf{x\: = \: \dfrac{x_{1} \: + \: x_2 \: + \: x_3}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ - 1 \: + \: 9 \: + \: 4}{3}} \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 8 \: + \: 4}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \cancel\dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: 4 }[/tex]
★ For y co-ordinate:-
[tex]: \: \implies \: \sf{y\: = \: \dfrac{y_{1} \: + \: y_2 \: + \: y_3}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 7 + 5 + 3}{3}} \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 10 \: + \: 5}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \cancel\dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: 5 }[/tex]
★ Henceforth,
Co-ordinates are (4 , 5)Additional Information :
★ Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]★ Distance Formula :-
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]★ Visit more :-
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Liberty Middle School’s enrollment increased to 660 students. This is an increase of 10% over last year’s enrollment. What was last year’s enrollment?
Answers
Answer:
600
Step-by-step explanation:
Last years enrollment was 100% of the number.
This year, the enrollment went up by 10%, so now, it's 110% of last years number.
Let last year's enrollment be x.
110% of x is 660
1.1x = 660
x = 660/1.1
x = 600
Answer: 600
Answer:
600
Step-by-step explanation:
please help i’ll give brainliest!!
Answers
Answer:
no correlation
Step-by-step explanation:
the dots are all scattered randomly
helpppp
i need help quickly
Answers
Answer: 140?
I am not really sure but I think 140......
A car dealership sold 84 cars in April. The dealership wants to increase the number of cars sold by 25% in May. How many cars will the dealership need to sell to reach their goal?
Answers
Answer: 105 Cars
Step-by-step explanation: To get an increase of 25% you need to multiply 84 by .25 then add the product of that to 84 to get 105
The number of cars dealership need to sell to reach their goal is, 105 cars
What is the percentage?Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".
Given that,
A car dealership sold 84 cars in April,
The dealership wants to increase the number of cars sold by 25% in May
The number of cars dealership need to sell to reach their goal = ?
This represents a 25% increase, which is the same as adding one quarter to the original number of cars sold.
The car dealership wants to increase the number of cars sold by 25% in May, which means that they want to sell,
⇒ 84 x 1.25 = 105 cars
So, the dealership will need to sell 105 cars in May in order to reach their goal of increasing the number of cars sold by 25%.
To know more about Percentage check:
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Bella makes bracelets. She uses 20 beads for each bracelet. How
many beads will she use to make 7 bracelets?
Answers
Answer:
140 beads.
Step-by-step explanation:
Hope this helps. :)
b) How far does the car travel in 4 hours?
Answers
Answer:
70 miles per hour
Step-by-step explanation:
Answer:
A car can travel up to 240 km in 4 hours.
Step-by-step explanation:
A car travels 60 MPH meaning 60(miles) times 4(hours) is 240.
explain algebraic equations please
Answers
Answer:
: an equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.
Step-by-step explanation:
includeing zero
add as brainleist plz
Answer:
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
Step-by-step explanation:
I NEED HELP ASAP IT IS FOR CHRISTMAS!!!!!!THESE ARE ALL MY POINTS!!
If three kids that want to buy something that cost $35.99 how much would each of them have to pay? Any ideas for what i should get my mom and dad?!!!! please help
Answers
Answer:
They should pay $12 each
Answer:
about 12 dollars probably more with tax maybe around 12.03
PLEASE HURRY WITH THIS
Answers
Answer:
Step-by-step explanation:
100.5 in ^2
Explain why 186,426 Is diviable by both 3 and 9
Answers
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A number is divisible by 9 if the sum of its digits is divisible by 9.
Look :
[tex] \frac{1 + 8 + 6 + 4 + 2 + 6}{9} = \frac{27}{9} = 3 \\ [/tex]
Thus 186,426 is divisible by 9 .
_________________________________
Also a number is divisible by 3 if the sum of its digits is divisible by 3.
Look :
[tex] \frac{1 + 8 + 6 + 4 + 2 + 6}{3} = \frac{27}{3} = 9 \\ [/tex]
Thus 186,426 is divisible by 3 .
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Given a+2 when a=5 I need help
Answers
Answer:
The answer to this is 7.
a+2
5+2
7
You have a standard deck of cards. What is the probability of drawing a heart or a face card?
Answers
Answer:
3/4
Step-by-step explanation:
answer the question correctly for good luck
If ‘c’ is directly proportional to‘d’ and c = 24 when d = 4
Find an equation connecting ‘c’ and ‘d’
Find ‘c’ when d = 8
Find ‘d’ when c = 54
Answers
Answer:
The equation connecting c and d is: c = kdThe value of c when d=8 is: 48The value of d when c=54 is: 9Step-by-step explanation:
Proportion can be defined as the effect of changing one quantity on the other.
Given that
‘c’ is directly proportional to‘d’
It can mathematically be written as:
c∝d
A constant is introduced in the equation when the proportionality symbol will be removed. The constant is called constant of proportionality
[tex]c =kd[/tex]
Given that
c = 24 when d = 4
Putting the values
[tex]24 = k(4)\\k = \frac{24}{4}\\k = 6[/tex]
Putting the value of k
[tex]c = 6d[/tex]
Putting d = 8
[tex]c = 6(8) = 48[/tex]
Putting c = 54
[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]
Hence,
The equation connecting c and d is: c = kdThe value of c when d=8 is: 48The value of d when c=54 is: 91) There are seven pencils in the drawer. Mike placed nine more pencils in the drawer.
How many pencils are now there in all ?
Answers
Answer:16
Step-by-step explanation:
7+9= 16
Answer:
16
Step-by-step explanation:
Read the top and answer the question!!
Answers
Answer:
Um... ithink it would be 3 but please tell me and correct me if im wrong
Step-by-step explanation: