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3 years ago

James had a peach that was 98 mm in diameter. One day he watered it with a magical solution, and it grew to 188,869 mm

Mathematics

1 answer:

svp [43]3 years ago

4 0

To determine how many times larger the peach got, you will divide the new diameter by the original diameter length.

188869/98 = 1927.2

The new diameter is approximately 1927 times longer.

To convert this to scientific notation, move the decimal point from the end (on the right) to between the 1 and the 9 to get 1.927.

Then count the number of decimal places you moved to get there, because this represents how many groups of 10 you adjusted your place value by and then becomes your exponent in scientific notation.

1.927 x 10^3 times is the answer in scientific notation.

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The answer is 8

360/45=8

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Step-by-step explanation:

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3 years ago

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Describe a sequence of transformations that exhibits the similarity between the pair of figures shown.

kow [346]

Answer:

Reflection across the x-axis followed by dilation by a scale factor of $\frac{1}{4}$ with the center of dilation at the origin

Step-by-step explanation:

Rectangle EFGD has vertices at points E(-6,8), F(0,8), G(0,1) and D(-6,1).

1 transformation - reflection across the x-axis with the rule

$(x,y)\rightarrow (x,-y)$

So, the image rectangle E''F''G''D'' has vertices with coordinates

$E(-6,8)\rightarrow E''(-6,-8);$
$F(0,8)\rightarrow F''(0,-8);$
$G(0,1)\rightarrow G''(0,-1);$
$D(-6,1)\rightarrow D''(-6,-1).$

2 transformation - dilation by a scale factor of $\frac{1}{4}$ with the center of dilation at the origin. This transformation has the rule

$(x,y)\rightarrow (\frac{1}{4}x,\frac{1}{4}y)$

Thus,

$E''(-6,-8)\rightarrow E'(-\frac{3}{2},-2);$
$F''(0,-8)\rightarrow F'(0,-2);$
$G''(0,-1)\rightarrow G'(0,-\frac{1}{4});$
$D''(-6,-1)\rightarrow D'(-\frac{3}{2},-\frac{1}{4}).$

These are exactly vertices of rectangle E'F'G'D'.

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3 years ago

For two weeks, the highest temperature each day was recorded in four different cities. Lines

Serga [27]

Answer:

Step-by-step explanation: City January

Temperature (°C)

New Orleans 7

Philadelphia -4

Phoenix 8

Rochester -8

San Antonio 5

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