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3 years ago

Simplify √ 105 ..................................

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

8 0

Answer:

Simplify √ 105

A. 2√ 7

B. 2√ 3

D. √ 42

Step-by-step explanation:

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The measure of the supplement of abc equals 180 minus m Abc this is the definition of supplement or complement angle

Veseljchak [2.6K]

Complement: The sum of two angles equals 90°

Supplement: The sum of two angles equals 180°

Answer: Supplement

8 0

3 years ago

(PLESE HELP) Factor the following expression. Simplify your answer.

mars1129 [50]

The factor of the expression $5p(p + 2)^{\frac{2}{3} } + 4(p + 2)^{\frac{1}{3} }$ is $(p + 2)^{\frac{2}{3} } (5p^{3} + 10p^{2} + 20p + 4)$

To answer the question, we need to know what factorization is

<h3>What is factorization?</h3>

Factorization is the process of breaking down an expressing into a simpler form containing its factors.

Since

$5p(p + 2)^{\frac{2}{3} } + 4(p + 2)^{\frac{1}{3} }$

Since $(p + 2)^{\frac{1}{3} }$ is common, we factor it out. So, we have

$(p + 2)^{\frac{2}{3} } (5p(p + 2)^{2} + 4)$

Expanding the bracket, we have

$(p + 2)^{\frac{2}{3} } (5p(p^{2} + 2p + 4) + 4) = (p + 2)^{\frac{2}{3} } (5p^{3} + 10p^{2} + 20p + 4)$

So, the factor of the expression $5p(p + 2)^{\frac{2}{3} } + 4(p + 2)^{\frac{1}{3} }$ is $(p + 2)^{\frac{2}{3} } (5p^{3} + 10p^{2} + 20p + 4)$

Learn more about factorization here:

brainly.com/question/11579257

#SPJ1

8 0

1 year ago

Find the lateral area of the cone in terms of π.

Andreyy89

Answer:

$15\pi\ cm^{2}$

Step-by-step explanation:

we know that

The lateral area of the cone is equal to

$LA=\pi rl$

where

r is the radius of the base

l is the slant height

we have

$r=3\ cm$

Applying the Pythagoras Theorem find the slant height

$l^{2}=3^{2} +4^{2}\\ \\l^{2}=25\\ \\l=5\ cm$

substitute in the formula

$LA=\pi (3)(5)=15\pi\ cm^{2}$

8 0

3 years ago

Please help, thank you

Aleksandr [31]

Answer:

-5

Step-by-step explanation:

$\frac{-5^5}{(-5)^2 (-5)^2}$
$\frac{-3125}{(-5)^2 (-5)^2}$
$\frac{-3125}{25(-5)^2}$
$\frac{-3125}{(25)(25)}$
$\frac{-3125}{625}$
$-5$

5 0

3 years ago

Read 2 more answers

What is the volume of the rectangular prism shown below?

jeka94

Answer:

B. 4760 in³

Step-by-step explanation:

V= l×w×h

=34×10×14

=4760 in³

8 0

2 years ago