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2 years ago

Which expression represents the lateral surface area of the cone?

Mathematics

1 answer:

Brrunno [24]2 years ago

3 0

Answer:

Option "3" is the correct answer to the following question:

Step-by-step explanation:

Given:

Radius of cone (r) = 6 centimeter

height of cone (h) = 8 centimeter

slant height of cone (l) = 10 centimeter

Find:

Lateral surface area of the cone = ?

Computation:

⇒ Lateral surface area of the cone = $\pi$ rl

⇒ Lateral surface area of the cone = $\pi$ (6 centimeters) (10 centimeters)

⇒ Therefore, option "3" is the correct answer.

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Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

STatiana [176]

Answer:

D. $3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4$

Step-by-step explanation:

$9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =$

$= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4$

$= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4$

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1 year ago

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Which of the following steps were applied to ABCD to obtain A’B’C’D’?

devlian [24]

Answer:

c- shifted 3 units right and 4 units up

Step-by-step explanation:

In this problem, we have a quadrilateral named as ABCD. Recall that a quadrilateral is a two-dimensional shape having four sides. So, we need to identify what transformation has been performed to get A'B'C'D', which is the same quadrilateral shifted certain units right and up. So take one point, say, B, so how do we need to do to obtain point B'? well, we need to move that point 3 units right and 4 units up, but how can we know this? just count the number of squares you need to move from B to B' horizontally and vertically, which is in fact 3 units right and 4 units up.

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1 year ago

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Suma a 10 numere naturale nenule pare este 108.aratati ca doua dintre numere sunt egale

Elenna [48]

Your answer that you are looking for is 108.

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2 years ago

Mr. Edwards is replacing an existing fence on his farm that is 6 feet high. Reliable Fence Company charges $8,000 for building m

Phoenix [80]

Answer:

ABC Fence Company charges $35 more per foot of fencing.

Step-by-step explanation:

ABC charges $35 more per foot of fencing.; The slope of each function represents the rate per foot of fencing.

Reliable Fence Company: y = $225x + $8,000 → $225 per foot of fencing. ABC Fence Company:

$29,200 − $24,000

= $260 per foot of fencing

$260 − $225 = $35; therefore, ABC charges $35 more per foot of fencing.

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1 year ago

What is the simplified form of StartRoot StartFraction 72 x Superscript 16 Baseline Over 50 x Superscript 36 Baseline EndFractio

aalyn [17]

Answer:

StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction

Step-by-step explanation:

Apparently you want to simplify ...

$\sqrt{\dfrac{72x^{16}}{50x^{36}}}$

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

1/a^b = a^-b

(a^b)^c = a^(bc)

So the expression simplifies as ...

$\sqrt{\dfrac{72x^{16}}{50x^{36}}}=\sqrt{\dfrac{36}{25x^{36-16}}}=\sqrt{\dfrac{36}{25x^{20}}}\\\\\sqrt{\left(\dfrac{6}{5x^{10}}\right)^2}=\boxed{\dfrac{6}{5x^{10}}}$

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1 year ago