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2 years ago

Which is a sum of cubes? a3 + 18 a6 + 9 a9 + 16 a12 + 8

Mathematics

1 answer:

liraira [26]2 years ago

8 0

Answer:

a^12+8

Step-by-step explanation:

let's check all the expressions

1. a^3+18

here 18 is not a perfect cube.

2. a^6+9

here 9 is not a perfect cube.

3. a^9+16

here 16 is not a perfect cube.

4. a^16+8

here 8 is a perfect cube, thus we can write above expression by using laws of exponents as

(a^4)^3+2^3

Thus, is a sum of cubes.

a^12+8

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Sonja [21]

Answer:

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Step-by-step explanation:

We know that the formula for the area of a circle is:

$A=\pi r^{2}$

Finding the radius (half the diameter):

$14/2=7$

Then substitute and solve:

$A=\pi (7)^{2}$

$A=153.93804$

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3 years ago

Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and

olga55 [171]

Answer: scale factor = 1.5

Step-by-step explanation:

$\text{Scale factor}=\dfrac{\text{Side length of image}}{\text{Side length of original figure}}$

Given: Triangle ABC is a scaled copy of triangle DEF.

Side AB = 12 cm and is the longest side of ABC.

Side DE = 8 cm and is the longest side of DEF.

$\text{For similar triangles, Corresponding sides are proportional.}$

AB is corresponds DE (longest side of both triangles)

So, $\text{Scale factor}=\dfrac{\text{AB}}{\text{DE}}=\dfrac{12}{8}=1.5$

Hence, the scale factor = 1.5.

3 0

3 years ago

There is a narrow rectangular plot, reserved for a school, in Mahuli VIIage

katovenus [111]

Answer:

550x100

Step-by-step explanation:

First divide 75000 by 100 to get 750. Then divide 750 by 15 to get 50. Lastly multiply 50 by 11 to get 550 and multiply 50 by 4 to get 100.

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3 years ago

Micah recorded the amount of time his mom and dad spend reading bedtime stories. He plotted the data in the box plot below.

Agata [3.3K]

Answer:

The lengths of time that his mom reads are typically shorter and have less variability than the lengths of time that his dad reads.

Step-by-step explanation:

The moms mean is less than the dads. The range is less too. Making the mom reading less and having less variability

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3 years ago

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Reika [66]

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3 0

3 years ago