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3 years ago

What's the scale factor of the Dilation

Mathematics

2 answers:

Ainat [17]3 years ago

8 0

The scale factor is 4

soldi70 [24.7K]3 years ago

3 0

Answer:

so the scale factor of the image is $\frac{1}{4}$

Step-by-step explanation:

We have to find the scale factor of figure A'B'C'D' which is the dilated image of quadrilateral ABCD.

Now we choose a line segment AB and compare it with line segment A'B'.

Since length of AB = 4 units

and length of A'B' = 1 units

So ratio of AB and A'B' = $\frac{A'B'}{AB}=\frac{1}{4}$

so the scale factor of the image is $\frac{1}{4}$

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In a fruit cocktail, for every 15 ml of orange juice you need 25 ml of apple juice and 10 ml of coconut milk. What proportion of

frosja888 [35]

Answer:

3/10 is orange juice.

Step-by-step explanation:

Step 1: Find the total mL in the concoction

15 + 25 + 10 = 50 mL in a fruit cocktail

Step 2: Find the proportion of orange juice in 1 serving (50 mL) of cocktail

15/50 = 3/10

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3 years ago

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3 years ago

Read 2 more answers

Does (-2)^n/( 3^n+1) converge or diverge?

hodyreva [135]

$\left|\dfrac{(-2)^n}{3^n+1}\right|=\dfrac{2^n}{3^n+1}$

As $n\to\infty$ , the sequence $a_n=\left(\dfrac23\right)^n$ converges to zero.

If you're talking about the infinite series

$\displaystyle\sum_{n\ge0}\dfrac{(-2)^n}{3^n+1}$

well we've shown by comparison that this series must also converge because we know any geometric series $\sum\limits_n r^n$ will converge as long as $|r|$ .

3 0

3 years ago

I need help can somebody answer them with showing me the work thank you :D

Yuki888 [10]

Question 1. It is graph 3 since the y-intercept in the equation is -2 and the y-intercept on the graph 3 is -2. It is also a quadratic function.

Question 2. It is graph two because the equation listed represents a quadratic function that is positive (graph opens up).

Question 3. It is graph 4 since the y-intercept is 2 and the only graph with that intercept is graph 4. Also, the equation represents a linear function.

Hope this helped :))

3 0

3 years ago

Please help me i’m stuck

Studentka2010 [4]

Following the principle of supplements angles, the angle next to the 101 is 79°. 79+38+c(call the third angle c) = 180
c = 180-117 =63° x is supplemental to c so 180 = x +c
180=x + 63
x =117

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1 year ago