2 years ago

Find the quotient and simplify

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

5 0

correct me if I'm wrong........

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Step-by-step explanation:

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3 years ago

Is -2.7 an irrational number

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Is the ans i got correct? the total surface area is 33.8cm²

ElenaW [278]

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

Solution:

Area of an equilateral triangle is:

$A_1=\dfrac{\sqrt{3}}{4}a^2$

Where, a is the side length.

Putting $a=2$ , we get

$A_1=\dfrac{\sqrt{3}}{4}(2)^2$

$A_1=\dfrac{\sqrt{3}}{4}(4)$

$A_1=\sqrt{3}$

$A_1\approx \sqrt{3}$

The base and top of the prism are congruent so their area must be equal.

The lateral surface area of the prism is:

$LA=Ph$

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

$A_2=(2+2+2)5$

$A_2=(6)5$

$A_2=30$

Now, the total surface area is the sum of areas of bases and lateral surface area.

$A=2A_1+A_2$

$A=2(1.73)+30$

$A=3.46+30$

$A=33.46$

Therefore, the total surface area is 33.46 cm².

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3 years ago

Question 6 of 9 (3.8).1 = 3. (8.1) O A. True O B. False

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A true because this is an example of the Associative Property by moving the parentheses but having the same outcome.

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3 years ago