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vova2212 [387]
3 years ago
15

The blue shape is a dilation of the black shape. What is the scale factor of the dilation?

Mathematics
2 answers:
Yakvenalex [24]3 years ago
7 0
4/1 4 is your answer
BabaBlast [244]3 years ago
4 0

Answer:

scale factor = 4

Step-by-step explanation:

The ratio of corresponding sides, blue shape to black shape.

The corresponding widths are 1 and 4 , then

scale factor = \frac{4}{1} = 4

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Solve this problem for n: 5/6 n=10 please show the work
umka21 [38]

5/6 n = 10

5n = 10*6

5n = 60

n = 60/5

n = 12

6 0
3 years ago
What number should be added to 95 to get a sum of 73
agasfer [191]
95 + x = 73
95 + -22 = 73
x= -22
The answer is -22.
5 0
3 years ago
The area of a circular sun spot is growing at a rate of 1,200 km2/s.
Tpy6a [65]
A)

\bf \textit{area of a circle}\\\\
A=\pi r^2
\\\\\\
\cfrac{dA}{dt}=\pi \cdot 2r\cfrac{dr}{dt}\implies \cfrac{dA}{dt}=2\pi r\cfrac{dr}{dt}\implies \cfrac{\frac{dA}{dt}}{2\pi r}=\cfrac{dr}{dt}\\\\
-----------------------------\\\\
\left. \cfrac{dr}{dt}  \right|_{r=3000}\implies \cfrac{1200}{2\pi \cdot 3000}=\cfrac{dr}{dt}\\\\

B)

\bf A=\pi r^2\qquad A=490000\implies 490000=\pi r^2\implies \sqrt{\cfrac{490000}{\pi }}=r
\\\\\\
\left. \cfrac{dr}{dt}  \right|_{r=\sqrt{\frac{490000}{\pi }}}\implies \cfrac{1200}{2\pi \cdot \sqrt{\frac{490000}{\pi }}}=\cfrac{dr}{dt}

8 0
3 years ago
How many ms in a second?
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4 0
1 year ago
Solve the equation using the quadratic formula : x^2-10x+25=18
Sever21 [200]
x^2-10x+25=18 \\ \\x^2-10x+25-18 = 0\\ \\ x^2-10x+ 7 =0 \\ \\a=1 , b = -10 , c= 7 \\ \\ \Delta = b^{2}-4ac = (-10)^{2}-4*1*7=100-28 = 72 \\ \\\sqrt{\Delta }=\sqrt{72}= \sqrt{2*36} =\sqrt{36}*\sqrt{2} =6\sqrt{2}

x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{10- 6\sqrt{2}}{2}=\frac{2(5-3\sqrt{2})}{2}= 5-3\sqrt{2}\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{10+ 6\sqrt{2}}{2}=\frac{2(5+3\sqrt{2})}{2}= 5+3\sqrt{2}


Answer : \ x= 5-3\sqrt{2} \ \ or \ \ x = 5+3\sqrt{2}


8 0
3 years ago
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