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3 years ago

11

consider a cylinder with radius 2 cm and a height of 8 cm. Describe how to calculate the volume of the given cylinder, and what

volume means.

1 answer:

Aleonysh [2.5K]3 years ago

3 0

You multiply the area of the circle(pi x r2
volume is the amount of units inside

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While in college, why did Euler work through advanced math books on his own

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His teacher didnt have time so advised him to tutor privately

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The value of a dirt bike decreases by 20% each year. If you purchased this dirt bike today for $500, to the nearest dollar how m

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We know that Martin is buying some apples at $0.75 each and two dozen oranges

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2 years ago

6/5 ÷ ____ = 6<br><br> A. 1/5<br> B. 30 <br> C. 1/30<br> D. 5

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Answer:

A. $\displaystyle \frac{1}{5}$

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$\displaystyle \frac{6}{5} \div \frac{1}{5} = 6 \\ \\ OR \\ \\ \frac{6}{5} \div 6 = \frac{1}{5}$

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3 years ago

Which products result in a perfect square trinomial? Select three options.

Kazeer [188]

Answer:

Second option: $(xy+x)(xy+x)$

Third option: $(2x-3)(-3+2x)$

Fifth option: $(4y^2+25)(25+4y^2)$

Step-by-step explanation:

By definition, a perfect square trinomial can be obtained by squaring binomials.

Then:

$(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2\\\\(a-b)^2=(a-b)(a-b)=a^2-2ab+b^2$

Knowing this, to obtain a perfect square trinomial, the binomials that you multiply must be equals.

Therefore, the products result in a perfect square trinomial are:

$(xy+x)(xy+x)=(xy+x)^2=(xy)^2+2(xy)(x)+x^2=x^2y^2+2x^2y+x^2$

$(2x-3)(-3+2x)=(2x-3)^2=(2x)^2-2(2x)(3)+3^2=4x^2-12x+9$

$(4y^2+25)(25+4y^2)=(4y^2+25)^2=(4y^2)^2+2(4y^2)(25)+25^2=16y^4+200y^2+625$

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