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3 years ago

What is the smallest positive perfect cube that is a multiple of 180?

Mathematics

1 answer:

Lelechka [254]3 years ago

5 0

Answer:Factor it into its prime factors:

180 / 2 = 90

90 / 2 = 45

45 / 3 = 15

15 / 3 = 5

5 / 5 = 1

2 x 2 x 3 x 3 x 5

All of those factors pair should pair up in 3 members to make cube

2 x 2 x 2 x 3 x3 x 3 x 5 x 5 x 5 = (30)^3 = 27000

Smallest no. = 2 x 3 x 5 x 5 = 150

Step-by-step explanation:

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A student claims that 3x + 2y = 5xy. Use a visual representation to show whether this is true or false

Ket [755]

Answer:

It is true, except when x = 2/5, since it is an asymptote.

Step-by-step explanation:

3x=5xy-2y

3x=y(5x-2)

3x/5x-2=y

5x-2=0 -------> 5x=2 --------> x=2/5

7 0

3 years ago

Charlotte is running at a rate of 9\,\dfrac{\text{km}}{\text{h}}9

finlep [7]

<h3>Answer: Charlotte's speed in meter/second is 2.5m/s.</h3>

Step-by-step explanation:

Given speed of Charlotte in kilometer per hour = 9 km/h

We need to find the Charlotte's speed in meter per second.

We know 1 kilometer = 1000 meter

And 1 hour = 3600 seconds.

Plugging those values of km and hour in given speed in km/h, we get

$9\ \frac{km}{h} = 9\times \ \frac{1000m}{3600 seconds}$

$=\frac{10m}{4s}= 2.5\ m/s$ .

Therefore,

<h3>Charlotte's speed in meter/second is 2.5m/s.</h3>

4 0

3 years ago

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A triangle has a height that is 5 units shorter than its base. If b represents the base and h represents the

11111nata11111 [884]

Answer: A = (b²-5b)/2

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Base =b

Height = h = b-5 (the height is 5 units shorter than the base)

Since:

Area of a triangle (A)= (base x height) ÷ 2

Replacing with the values given:

A = [b (b-5)] ÷2

A = (b²-5b)/2

Feel free to ask for more if needed or if you did not understand something.

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3 years ago

What is the difference?<br> -6-(11)<br> 1-17<br> -5<br> O 5<br> 017

Roman55 [17]

Answer:

-17

Step-by-step explanation:

4 0

3 years ago

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What is the following quotient? StartFraction RootIndex 3 StartRoot 60 EndRoot Over RootIndex 3 StartRoot 20 EndRoot EndFraction

FrozenT [24]

Answer:

$\sqrt[3]{3}$

Step-by-step explanation:

We are required to simplify the quotient: $\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}}$

Since the <u>numerator and denominator both have the same root index</u>, we can therefore say:

$\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}} =\sqrt[3]{\dfrac{60} {20}}$

$=\sqrt[3]{3}$

The simplified form of the given quotient is $\sqrt[3]{3}$ .

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3 years ago

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