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3 years ago

The volume of a cube is 460cm3. Work out the length of its side rounded to 1 DP.

Mathematics

1 answer:

yaroslaw [1]3 years ago

7 0

The side length is the cube root of 460.

cube root(460) = 460^(1/3)
That's approximately 7.7

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topjm [15]

Hey there!

The opposite of the square root of 25 is -5, and this is an integer and a rational number and a real number.

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3 years ago

Read 2 more answers

At leslie's school the ratio of boys and girls is 11 to 12 at marks school the ratio of boys girls is 41 to 48 if both schools h

Softa [21]

Answer: B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.

Step-by-step explanation:

Here are the options:

A There are more boys at Mark's school than at Leslie's school because the ratio 11 to 12 is greater than the ratio 41 to 48.

B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.

C. There are more boys at Leslie's school than at Mark's school because the ratio 41 to 48 is greater than the ratio 11 to 12.

At leslie's school the ratio of boys and girls is 11 to 12. This implies that the fraction of boys in the school to total students will be:

= 11/(11 + 12) = 11/23 = 0.4783

At Marks school the ratio of boys to girls is 41 to 48. Thus implies that the fraction of boys in the school to total students will be:

= 41 / (41 + 48) = 41/85= 0.4824

Based on the calculation, we can deduce that there are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.

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3 years ago

4. Which fraction can be used to form a proportion with the following fraction? 3

LenaWriter [7]

3/1

Step-by-step explanation:

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3 years ago

If $5200 is invested at a rate of 8.6% compounded quarterly, how long will it take, to the nearest hundredth of a year, until th

dexar [7]

Answer:

$t= 9.43\ years$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=?\ years\\ P=\$5,200\\ r=8.6\%=8.6\100=0.086\\n=4\\A=\$11,600$

substitute in the formula above

$11,600=5,200(1+\frac{0.086}{4})^{4t}$

$11,600=5,200(1.0215)^{4t}$

$(11,600/5,200)=(1.0215)^{4t}$

Applying log both sides

$log(11,600/5,200)=log(1.0215)^{4t}$

applying property of logarithms

$log(11,600/5,200)=(4t)log(1.0215)$

$t=log(11,600/5,200)/[(4)log(1.0215)]$

$t= 9.43\ years$

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3 years ago

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Levart [38]

Answer:

There ya go

Step-by-step explanation:

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3 years ago