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Anarel [89]
2 years ago
9

Help! Please explain I have a test tomorrow !

Mathematics
1 answer:
Fofino [41]2 years ago
7 0
<h3>given:</h3>

base= 10 ft

height= 12 ft

<h3>to find:</h3>

the surface area of the given pyramid.

<h3>solution:</h3>

s.a =  {a}^{2}  + 2a \sqrt{ \frac{ {a}^{2} }{4}  +  {h}^{2} }

s.a =  {10}^{2}  + 2 \times 10 \times  \sqrt{ \frac{ {10}^{2}  }{4} { \times 12}^{2}  }

s.a = 360 \:  {ft}^{2}

<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>surface</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>pyramid</u><u> </u><u>is</u><u> </u><u>3</u><u>6</u><u>0</u><u> </u><u>square</u><u> </u><u>feets</u><u>.</u>

<u>answer</u><u>=</u><u> </u><u>option</u><u> </u><u>D</u>

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{ \sf{ \sqrt{x + 5}  - 3 = 1}} \\ { \sf{ \sqrt{x + 5} = 4 }} \\ { \sf{x + 5 = 16}} \\ { \sf{x = 11}}

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harry is 14 years old ,and larry is 7. how many times older is harry than larry? what is known and the unknown ​
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Which expression is equivalent to<br> ^3 sqrt 1/1000 c^9 d^12
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A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther
mariarad [96]
<h2>Answer:</h2>

<em><u>Recursive equation for the pattern followed is given by,</u></em>

a_{n}=a_{n-1}+(n-1)^{2}

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\

Therefore, on checking, we observe that,

a_{n}=a_{n-1}+(n-1)^{2}

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

<u>At, </u>

<u>n = 1</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0

which is true.

<u>At, </u>

<u>n = 2</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1

Which is also true.

<u>At, </u>

<u>n = 3</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5

Which is true.

<u>At, </u>

<u>n = 4</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14

This is also true at the given value of 'n'.

<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>

a_{n}=a_{n-1}+(n-1)^{2}

3 0
3 years ago
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