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sergij07 [2.7K]
3 years ago
9

PLEASE HELP! Triangle A’B’C’ is a dilation of triangle ABC.

Mathematics
2 answers:
sergejj [24]3 years ago
6 0
The scale factor is (x2)!

9×2 = 18
4 1/2 × 2 = 9
hram777 [196]3 years ago
3 0

Answer:   0.5

Step-by-step explanation:

We know that the scale factor for dilation is the ratio of the side-length of the image to the side-length of the pre-image.

From the given figure, In Pre-image ΔABC , we have  AC=18              

In Pre-image ΔA'B'C', we have A'C'=9          

Now, the scale factor will be :_

k=\dfrac{A'C'}{AC}=\dfrac{9}{18}=\dfrac{1}{2}=0.5

Now, the scale factor for this dilation = 0.5

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Please help homework due tomorrow!!
Alona [7]

Answer:

12-157.5  13-6ft

Step-by-step explanation:

the first one just look up 65% of 450 and minus the number you get by 450

the second one do the butterfly method

\frac{5}{12}    \frac{x}{14.4} \\

the heights on top and shadows on bottom

12x=72

x=6

4 0
2 years ago
a quantity of ethanol is cooled from 47.9° C to 12.3°C and releases 3.12 KJ of heat. what is the mass of the ethanol sample?​
victus00 [196]

Answer:

35.9 grams

Step-by-step explanation:

We use the formula:

q=m*C_p*\Delta T

Where

q is heat released

m is mass

C_p is the constant 2.44

ΔT is change in temperature

We put the info in the formula and solve for m (mass):

q=m*C_p*\Delta T\\-3.12 =  m*2.44(12.3-47.9)\\-3.12*10^3=m*(-86.864)\\m=35.9

The mass of ethanol is 35.9 grams

8 0
3 years ago
at the beginning of a chemistry experiment the volume of liquid in a container was 4 milliliters. during the experiment the volu
Mrac [35]

Answer:

2.0

Step-by-step explanation:

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3 0
3 years ago
Bob wants to create two pens, as shown in the figure. One pen is for a garden and it needs a heavy duty fence to keep out the cr
sattari [20]
\bf \textit{the area of either pen is 2744, thus}\\\\
A=xy\implies 2744=xy\implies \cfrac{2744}{x}=y

\bf \begin{array}{llll}
\textit{perimeter of the garden pen}\\\\
P=2(x+y)\\\\
P=2\left( x+ \cfrac{2744}{x}\right)\\\\
P=2x+\cfrac{5488}{x}\\
----------\\

\textit{cost of it}\\\\
C=15\left( 2x+\cfrac{5488}{x} \right)\\\\
C=30x+\cfrac{82320}{x}
\end{array}\qquad 
\begin{array}{llll}
\textit{perimeter of the dog pen}\\\\
P=2x+y\\\\
P=2x+\cfrac{2744}{x}\\
----------\\
\textit{cost of it}\\\\
C=5\left( 2x+\cfrac{2744}{x} \right)\\\\
C=10x+\cfrac{27440}{x}
\end{array}

notice... the dog's pen perimeter, does not include the side that's bordering the garden's, since that side will use the heavy duty fence, instead of the light one

so, the sum of both of those costs, will be the C(x)

\bf C(x)=\left( 30x+\cfrac{82320}{x} \right)+\left( 10x+\cfrac{27440}{x} \right)
\\\\\\
C(x)=40x+\cfrac{109760}{x}

so, just take the derivative of it, and set it to 0 to find the extremas, and do a first-derivative test for any minimum

8 0
3 years ago
4/10 as a proper fraction
erica [24]

Answer: if you’re talking about simplifying then it would be 2\5.

Step-by-step explanation: all you do is divide two on 4 and 10 and your simplified fraction would be 2/5

6 0
3 years ago
Read 2 more answers
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