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3 years ago

Which statement best compares a line and a point

1 answer:

Volgvan3 years ago

6 0

A line has 0 endpoints and extends forever in 2 directions and a point has 1 endpoint and extends forever in 0 directions.

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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

Please help ASAP!!! I will mark the Brainliest!!

Svetlanka [38]

To answer this question, you need to know that a scale factor is the relationship between one dimension of the shape.

Because the information given to us is a two-dimensional measurement, you will need to consider that when getting the answer.

The ratios of the areas of the triangles is 3/5 x 3/5 or 9/25.

To determine the area of the larger triangle, you will solve the following equation using the information you know. x is the area of the larger triangle.

9/25x = 576; solve for x by dividing both sides by 9/25
x = 1600 square inches

The area of the larger triangle is 1600 square inches.

6 0

3 years ago

Explain why the expression 2y-y can be written as y

harina [27]

Answer:

2y is just 2 times y, so subtracted it would be 1y and 1y is just y.

6 0

3 years ago

Read 2 more answers

#31 please help and show work thank you in advance

antiseptic1488 [7]

The base price of the car is about $22,196 because:

x= major options package

10x + x = 24,416

*the 10x is the price of the car

This then simplifies to

11x = 24,416

use division.

The destination charge is not needed unless you want to check your answer. If you have to then you would do the same thing. The equation would be:

y= destination charge

5y + y = 24,416

Hope this helps.

6 0

3 years ago

Help please I don't know what to do plz just send the answers because I'm tired and I cba to do calculations

Lyrx [107]

Answer is A
Just make sure you do know how to do them :)

4 0

3 years ago