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Grace [21]
3 years ago
8

The axis of the sphere below is 14 units in length. What is the surface area of the sphere?​

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
4 0

Answer:

it’s A.

Step-by-step explanation:

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Help me with my latest question
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Which rule describes the translation below ? In the picture
rewona [7]

The translation rule which describes the given translation is \fbox{\begin\\\math{(x,y)}\rightarrow(x+5,y-3)\\\end{minispace}}.

Further explanation:

Translation is defined as the shifting of the curve in which each point on the curve is shifted in such a way that the shape and size of the curve remains unchanged but the position of each point is changed by a fixed distance.

In the given figure there are two right angle triangle as S'T'U' and STU.

The coordinates of the right angle triangle S'T'U' are (-4,2),(-4,-2) and (-1,-2) and the coordinates of the right angle triangle STU are (1,5),(1,1) and (4,1).  

Consider that the triangle STU is obtained after the translation of each point on the triangle S'T'U'.  

The coordinate of the point S' in triangle S'T'U' is (-4,2).  

Step 1:  

Use the translation (x,y)\rightarrow(x-5,y-3) for the point S'.  

\fbox{\begin\\\(-4,2)\rightarrow(-4-5,2-3)=(-9,-1)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x-5,y-3) the coordinate of the point S is (-9,-1), but in the given figure the coordinate of the point S is (1,5).  

So, the translation (x,y)\rightarrow(x-5,y-3) is incorrect.  

Step 2:  

Use the translation (x,y)\rightarrow(x-3,y-5) for the point S'.  

\fbox{\begin\\\(-4,2)\rightarrow(-4-3,2-5)=(-7,-3)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x-3,y-5) the coordinate of the point S is (-7,-3), but in the given figure the coordinate of the point S is (1,5).  

So, the translation (x,y)\rightarrow(x-3,y-5) is incorrect.  

Step 3:  

Use the translation (x,y)\rightarrow(x+5,y+3) for the point S'.  

\fbox{\begin\\\(-4,2)\rightarrow(-4+5,2+3)=(1,5)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x+5,y+3) the coordinate of the point S is (1,5) which is correct as the coordinate for the point S given in the figure is (1,5).  

Step 4:  

Use the translation (x,y)\rightarrow(x+5,y+3) for the point T'.  

\fbox{\begin\\\(-4,-2)\rightarrow(-4+5,-2+3)=(1,1)\\\end{minispace}}  

As per the translation (x,y)\rightarrow(x+5,y+3) the coordinate of the point T is (1,1) which is correct as the coordinate for the point T given in the figure is (1,1).  

Step 5:  

Use the translation (x,y)\rightarrow(x+5,y+3) for the point U’.  

\fbox{\begin\\\ (-1,-2)\rightarrow(-1+5,-2+3)=(4,1)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x+5,y+3) the coordinate of the point T is (4,1) which is correct as the coordinate for the point U given in the figure is (4,1).  

As per the above calculation it is concluded that the translation (x,y)\rightarrow(x+5,y+3) is correct for the shifting of each point on the triangle S'T'U' to each point on the triangle STU.

The translation of each point on the triangle S'T'U' is shown in the image attached below.

Therefore, the correct translation rule for the shifting of the triangle S'T'U' to the triangle STU is \fbox{\begin\\\math{(x,y)}\rightarrow(x+5,y-3)\\\end{minispace}}  

Learn more:  

  1. A problem to determine the range of a function brainly.com/question/3852778
  2. A problem to determine the vertex of a curve brainly.com/question/1286775
  3. A problem to convert degree into radians brainly.com/question/3161884  

Answer details:

Grade: Middle school

Subject: Mathematics  

Chapter: Coordinate geometry

Keywords: Translation, shifting, graph, geometry, coordinate geometry, coordinates, shifting of graph, triangle, right angle triangle, movement of curve, shifting of curve, translation of curve.

7 0
3 years ago
Read 2 more answers
Round each number to the nearest tenth.
avanturin [10]
122.1 or 122
becuase the original answer is 122.13 and the 3 gets out becuase it rounds down and so does the 1
4 0
3 years ago
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Is 8:7 equal to 15:16
Karo-lina-s [1.5K]
Absolutely not because
if you see as fraction
8/7 and 15/16 is not equal at all
if it had to be equal if should've been 16/14
6 0
3 years ago
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