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3 years ago

11

Help me PLZZZZZZZ!!!!!!

1 answer:

eduard3 years ago

7 0

Answer:

25% decrease

Step-by-step explanation:

Take the original amount of books and subtract the new number of books

20 -15 = 5

Divide by the original amount of books

5/20 = .25

Multiply by 100%

25%

It is a decrease since the amount went down

25% decrease

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Answer this volume based Question. I will make uh brainliest + 50 points

Harlamova29_29 [7]

Answer:

$\huge{\purple {r= 2\times\sqrt[3]3}}$

$\huge 2\times \sqrt [3]3 = 2.88$

Step-by-step explanation:

For solid iron sphere:
radius (r) = 2 cm (Given)

Formula for $V_{sphere}$ is given as:

$V_{sphere} =\frac{4}{3}\pi r^3$

$\implies V_{sphere} =\frac{4}{3}\pi (2)^3$

$\implies V_{sphere} =\frac{32}{3}\pi \:cm^3$

For cone:
r : h = 3 : 4 (Given)
Let r = 3x & h = 4x

Formula for $V_{cone}$ is given as:

$V_{cone} =\frac{1}{3}\pi r^2h$

$\implies V_{cone} =\frac{1}{3}\pi (3x)^2(4x)$

$\implies V_{cone} =\frac{1}{3}\pi (36x^3)$

$\implies V_{cone} =12\pi x^3\: cm^3$

It is given that: iron sphere is melted and recasted in a solid right circular cone of same volume
$\implies V_{cone} = V_{sphere}$

$\implies 12\cancel{\pi} x^3= \frac{32}{3}\cancel{\pi}$

$\implies 12x^3= \frac{32}{3}$

$\implies x^3= \frac{32}{36}$

$\implies x^3= \frac{8}{9}$

$\implies x= \sqrt[3]{\frac{8}{3^2}}$

$\implies x={\frac{2}{ \sqrt[3]{3^2}}}$

$\because r = 3x$

$\implies r=3\times {\frac{2}{ \sqrt[3]{3^2}}}$

$\implies r=3\times 2(3)^{-\frac{2}{3}}$

$\implies r= 2\times (3)^{1-\frac{2}{3}}$

$\implies r= 2\times (3)^{\frac{1}{3}}$

$\implies \huge{\purple {r= 2\times\sqrt[3]3}}$
Assuming log on both sides, we find:

$log r = log (2\times \sqrt [3]3)$

$log r = log (2\times 3^{\frac{1}{3}})$

$log r = log 2+ log 3^{\frac{1}{3}}$

$log r = log 2+ \frac{1}{3}log 3$

$log r = 0.4600704139$

Taking antilog on both sides, we find:

$antilog(log r )= antilog(0.4600704139)$

$\implies r = 2.8844991406$

$\implies \huge \red{r = 2.88\: cm}$

$\implies 2\times \sqrt [3]3 = 2.88$

8 0

2 years ago

Brianna can buy 14 pencils for $1.50 at the school store. At that rate, about how much would 100 pencils cost?

LuckyWell [14K]

Answer:

we conclude that the cost of 100 pencils = $11

Step-by-step explanation:

Brianna can buy 14 pencils for $1.50 at the school store.

so

unit rate = $1.50 / 14 pencils

= 0.11 USD per pencil

Thus,

The cost of 1 pencil = $0.11

The cost of 100 pencils = $0.11 × 100

= $11

Therefore, we conclude that the cost of 100 pencils = $11

5 0

3 years ago

Order the numbers from least to greatest

dusya [7]

Order what numbers from least to greatest

7 0

3 years ago

Find the volume of the prism shown.

nlexa [21]

Answer:

Volume of a pyramid is

V=lwh÷3

=(4·5·6)÷3

=40

6 0

3 years ago

Read 2 more answers

Luc randomly selected 40 students and asked them whether they had ever gone snowboarding. He repeated this survey using the same

anygoal [31]

<span>C. No, because although the results differ among the four surveys, the sample method used for all was the same. Luc RANDOMLY selects 40 students in every survey. Random selection in surveys do not create bias and the results are highly credible. This is because there are no preconceived notions or factors that affect the responses of people being surveyed.</span>

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3 years ago