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4 years ago

7

Simplify each equation, then solve. 1) log 2 128=x

2 answers:

wel4 years ago

8 0

$l[tex]log_{2}128=x\\\\ Formula\ for\ log:\\
log_{a}c=b\ \ \ =>\ a^b=c\\\\
2^x=128\\\\ 2^x=2^7\\\\ x=7\\\\Solution\ is\ x=7.$ [/tex]

NikAS [45]4 years ago

4 0

$\log _{ 2 }{ 128 } =x\\ \\ \log _{ 2 }{ \left( { 2 }^{ 7 } \right) } =x\\ \\ 7\cdot \log _{ 2 }{ 2 } =x$

$\\ \\ 7\cdot 1=x\\ \\ \therefore \quad x=7$

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sveticcg [70]

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3 years ago

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Sauron [17]

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3 years ago

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marysya [2.9K]

Answer:

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2 years ago

In the Changing Dimensions of 3D Figures

den301095 [7]

Answer:factor of 9

Step-by-step explanation:

Given

prism were changed by a scale factor of 3

Suppose prism is rectangular in shape

So surface are is $S.A.=2(lw+wb+lb)$

Where l=length

w=width

b=breadth

So new length,breadth and width is

$l'=3l$

$w'=3w$

$b'=3b$

$S.A.=2(3\times 3lw+3\times 3wb+3\times 3lb)$

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7 0

4 years ago

Find the volume of the pyramid below. Hint: The base is a right triangle, so you will need to find

Aleks04 [339]

<u>Given</u>:

Given that the height of the pyramid is 12 units.

The base of the triangle is 8 units.

The height of the triangle is 6 units.

We need to determine the volume of the pyramid.

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

$A=\frac{1}{2} bh$

where b is the base of the triangle and h is the height of the triangle.

Substituting the values, we get;

$A=\frac{1}{2}(8)(6)$

$A=\frac{1}{2}(48)$

$A=24$

Thus, the area of the triangle is 24 square units.

<u>Volume of the pyramid:</u>

The volume of the pyramid can be determined using the formula,

$V=\frac{1}{3}AH$

where A is the area of the triangle and H is the height of the pyramid.

Substituting the values, we get;

$V=\frac{1}{3}(24)(12)$

$V=\frac{1}{3}(288)$

$V=96$

Thus, the volume of the pyramid is 96 cubic units.

4 0

3 years ago