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3 years ago

10

Rachael has a rope 5 m 32 cm long that she cut into two pieces. One piece is 249 cm long. How many centimeters long is the other

piece of rope?

1 answer:

satela [25.4K]3 years ago

4 0

1 m = 100 cm, so 5 m = 500 cm plus the 32 cm, so she has a rope that is 532 cm long.

532 - 249 = 283 cm

So the other piece of rope is 283 cm long.

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Andre and Morgan are both headed to Florida for vacation. Andre will drive 70 miles per hour. Morgan will drive 55 miles per hou

babymother [125]

Answer:

The number of hours Moran wold have driven before Andre catches up with him is 14 hours

Step-by-step explanation:

The given information are;

The speed with which Andre will drive = 70 miles per hour

The speed with which Morgan will drive = 55 miles per hour

The time of departure of Morgan = 3 hours before Andre departs

Let the time at which Andre catches up with Morgan be, t

We have, from the definition of distance traveled;

Distance traveled =Speed × Time

The distance Morgan would have driven in t hours = 55 × t

Given that to catch up with Morgan, Andre has to travel the same distance, and that Andre starts 3 hours late, we have;

The distance Andre would drive when Morgan has driven for t hours = 70 × (t - 3)

Therefore, since the distance at the point they meet is the same distance for them both, we have;

55 × t = 70 × (t - 3)

55 × t = 70 × t - 210

210 = 70 × t - 55 × t = 15 × t

t = 210/15 = 14 hours

Therefore, Morgan would have driven for 14 hours before Andre catches uo with him.

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3 years ago

Please help me, A candle is in the shape of a frustum (a cone with the top cut off). Calculate the volume of the candle to the n

MariettaO [177]

Answer:

Height = 8 cm

You will need this formula (see attached):

Volume = [PI * 8 * (2² + 2*4 + 4²)] / 3

Volume = [3.14159265 * 8 * (4 + 8 + 16)] / 3

Volume = 234.57 cubic centimeters

Source: http://www.1728.org/volcone.htm

Step-by-step explanation:

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2 years ago

What is the simplified form of the following expression?

kogti [31]

Answer:

$\sqrt{3}$

Step-by-step explanation:

We will be using 2 properties of radicals in this simplification (outlined below).

$\sqrt{a*b}=\sqrt{a}* \sqrt{b}$
$\sqrt{a}*\sqrt{a}=a$

<em>Let's simplify this:</em>

$2\sqrt{27} +\sqrt{12} -3\sqrt{3}-2\sqrt{12}\\ =2\sqrt{9*3}+\sqrt{4*3} -3\sqrt{3}-2\sqrt{4*3} \\=2\sqrt{9} \sqrt{3} +\sqrt{4} \sqrt{3}-3\sqrt{3}-2\sqrt{4} \sqrt{3} \\=2(3)\sqrt{3}+(2)\sqrt{3} -3\sqrt{3}-2(2)\sqrt{3} \\ =6\sqrt{3} +2\sqrt{3}-3\sqrt{3}-4\sqrt{3} \\=\sqrt{3}$

First answer choice is right.

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3 years ago

A photo that measure 5 inches in length by 7 inches in width is enlarged to 7.5 inches in length. What is the width?

galina1969 [7]

Answer:

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Step-by-step explanation:

You can use ratios to solve this problem.

The original dimensions of the photo is

5 in. by 7 in.

This can be written as:

5:7

And the next is 7.5:?

Then you can use ratios to solve this.

5:7=

7.5:?

5*1.5=7.5 so you can multiply the other side by the same thing. 7*1.5=10.5

The width is 10.5 inches.

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3 years ago

Hello everyone, I hope you had a great day, I need help on this please, thanks.

Shalnov [3]

Answer:

A

Step-by-step explanation:

A. is the only correct solution to this question because you can also see that if we take 8 and divide this by 32 we get 1/4, so we know it is true.

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3 years ago

Read 2 more answers