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Natali5045456 [20]
3 years ago
6

Come help a sister out on 2 geometry questions please

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0
1- question

Data:
width = 6 cm
length = 5 cm
height = 8 cm


<span>First we will find the area of ​​the base that is square, we have:
</span>
Ab = 6 * 5 
Ab = 30 cm²

<span>Now we will calculate the volume of a square pyramid, we have:
</span>Formula: V =  \frac{1}{3}  A_{b}  *h

Solving:
V = \frac{1}{3} A_{b} *h
V =  \frac{1}{3}*30*8
V =  \frac{240}{3}
\boxed{\boxed{V = 80\:cm^3}}\end{array}}\qquad\quad\checkmark

Answer:
D) 80 cm³

2- question:

Data:
width = 7 in
length = 7 in
height = 9 in


First we will find the area of ​​the base that is square, we have:

Ab = 7 * 7 
Ab = 49 in²

Now we will calculate the volume of a square pyramid, we have:
Formula: V = \frac{1}{3} A_{b} *h

Solving:
V = \frac{1}{3} A_{b} *h
V = \frac{1}{3}*49*9
V = \frac{441}{3}
\boxed{\boxed{V = 147\:in^3}}\end{array}}\qquad\quad\checkmark

Answer: 
C) 147 in³

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Step-by-step explanation:

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Answer:

Formula used :

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27 \times  {9}^{3x} =  {3}^{k} \\  {3}^{3}  \times   { {(3}^{2}) }^{3x}  =  {3}^{k}  \\  {3}^{k}  =  {3}^{3}  \times  {3}^{(2 \times 3x)}  \\  {3}^{k}  =  {3}^{3}  \times  {3}^{6x}  \\  {3}^{k}  =  {3}^{(6x + 3)}  \\  \boxed{k = 6x + 3}

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