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3 years ago

Which choice is the appropriate simplified form n restriction for the variable 12x^2 - 8x / 4x^2

1 answer:

tatiyna3 years ago

5 0

$\frac{12x^{2} - 8x}{4x^{2}} = \frac{4x(3x-2)}{4x^{2}} = \frac{3x-2}{x} ,where 

x \neq 0
\\ \\B. \frac{3x-2}{x} , x \neq 0$

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A triangular pyramid has a base with an area of 43 cm squared and lateral faces with bases of 10 cm and heights of 8.6 cm. What

Jet001 [13]

Answer:

The total surface area of triangular pyramid is 172 cm squared

Step-by-step explanation:

Triangular pyramid:

Number of faces 4.
Number of vertices of a triangular pyramid is 6.
The volume is $\frac13 AH$ . A= area of the pyramid's base and H= height of the pyramid.

The surface area of triangular pyramid B+L. B= area of base, L= area of lateral surface.

Given that, the area of the base is 43 cm squared. Lateral faces with bases of 10 cm and heights 8.6 cm.

The 3 sides of the triangular pyramid is triangle in shape.

The area of triangle is $\frac12 \times base \times height$ .

The lateral surface area of the triangular pyramid is

$=3(\frac12 \times base \times height)$

$=3(\frac12\times 10\times8.6)$ cm squared

=129 cm squared

The total surface area of triangular pyramid is

=Area of the base + lateral surface area

=(43+129) cm squared

=172 cm squared

8 0

4 years ago

Simplify ten to the eighth divided by ten to the negative third.

In-s [12.5K]

Answer:

$10^{11}$

Step-by-step explanation:

A statement is given i.e. "ten to the eighth divided by ten to the negative third."

It means that 10 to power 8 divided by 10 to the power -3.

Mathematically,

$\dfrac{10^8}{10^{-3}}$

We know that, $\dfrac{x^a}{x^b}=x^{a-b}$

Here, x = 10, a = 8 and b = -3

So,

$\dfrac{10^8}{10^{-3}}=10^{8-(-3)}\\\\=10^{8+3}\\\\=10^{11}$

So, the answer is $10^{11}$

7 0

4 years ago

Estimate the answer by first rounding each value,then performing the operation

Gekata [30.6K]

First rounding off the both values..
Answer = 53300 * 600
= 31980000

%age error = [(53300*600 - 53320*599) / (53320*599) ]*100
=0.1%

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3 years ago

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Ierofanga [76]

Answer:d

Step-by-step explanation:

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Your answer is C. Hope this helps

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3 years ago