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german
3 years ago
15

ΔABC is similar to ΔDEF. The ratio of the perimeter of ΔABC to the perimeter of ΔDEF is 1 : 10. If the longest side of ΔDEF meas

ures 40 units, what is the length of the longest side of ΔABC ? A. 2 units B. 4 units C. 16 units D. 30 units
Mathematics
2 answers:
polet [3.4K]3 years ago
6 0

Answer:

1.   Determine the perimeter of ΔDEF.  

Step-by-step explanation:

Gala2k [10]3 years ago
4 0
The problem ask to find the longest side of the triangle ABC if the longest side of triangle DEF measures 40 units and the best answer among the choices is letter B. 4 units. I hope you are satisfied with my answer and feel free to ask for more .
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The admission fee at an amusement park is $2.25 for children and $6.80 for adults. 288 people entered the park, and the admissio
Greeley [361]

Answer: Number of children  = 168

Number of adults = 120

Step-by-step explanation:

Let x = Number of children and y = Number of adults

As per given,

x+y=288          (i)

2.25x+6.80y =1194       (ii)

Multiply 2.25 on both sides in (i)

2.25x+2.25y= 648       (iii)

Eliminate (iii) from (ii)

4.55y=546

\Rightarrow y=\dfrac{546}{4.55}\\\\\Rightarrow\ y=120

Put y= 120 in (i)

x+120=288

⇒ x=288-120

⇒ x= 168

Hence, Number of children  = 168

Number of adults = 120

3 0
2 years ago
Lucia has 10 dimes and nickels worth a total of $0.60. Use the graph to find the number of dimes and nickels that Lucia has.
Reil [10]
The system has one solution, so it is consistent independent. The graphs intersect at the point (2, 8), which can be checked algebraically. Complete a table of values for each line.

The point (2, 8) is the solution to the system of equations. Since (2, 8) is the solution to the system of equations, Lucia has 2 dimes and 8 nickels. 

hope it helps :) feel free to ask anymore questions 

5 0
3 years ago
The expression 3^2*3^3*3^4 is equivalent to?<br> Show all your work please
loris [4]
Cool! So OK I'll take you through it.
You just need to take everything 1 step at a time, as you might already know.

First
3 to the second is 9

Second
The first part included like this 9*(3 to the third) which is 243

Third
The second part is included into the question like 243*(3 to the fourth) which is 243*81

Fourth
243*81 = 19,683

Your Answer
(3^2)*(3^3)*3^4) = 19,693

Hope That Helps and Correct Me If I'm Wrong!

3 0
3 years ago
Read 2 more answers
Given the data: 136, 150, 119, 150, 125, 143.<br> Find the range.
kodGreya [7K]
Range = max-min= 150-119 = 31
4 0
2 years ago
Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 mill
abruzzese [7]

Answer:

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year

Step-by-step explanation:

Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.

i.e. if V stands for volume of oil, then

V' =kV\\dv/V= kdt\\ln V = kt+C\\V = Ae^{kt}

To find A and k

V(0) = A = 3 million

Hence V = 3e^{kt}

V(6) = 1.5

i.e. 1.5 = 3e^{6k}\\ln 1.5 =ln 3 +6k\\k = -0.11552

V(t) = 3e^{-0.11552t}

a) Using the above value of k , we have

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year.

4 0
3 years ago
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