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4 years ago

Which number rational?

Mathematics

1 answer:

melamori03 [73]4 years ago

3 0

Answer:

A rational number is a number that can be express as the ratio of two integers.

Step-by-step explanation:

A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever).

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Find the determinant of the following matrix. [1 -2] [3 4]

Andrew [12]

Answer:

Step-by-step explanation:

[1 -2]

[3 4]

We can obtain the determinant of the above matrix by doing the following:

Determinant =(1 × 4) – (3 × –2)

Determinant = 4 – – 6

Determinant = 4 + 6

Determinant = 10

Thus, the determinant of the above matrix is 10

8 0

3 years ago

») What is the volume of a ball with adiameter of 6 centimeters? Use 3.14for (pie)How is the volume of a sphere related tothe vo

Dahasolnce [82]

Volume of a sphere and a cone

We have that the equation of the volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

We have that the radius of a sphere is half the diameter of it:

Then, the radius of this sphere is

r = 6cm/2 = 3cm

<h2>Finding the volume of a sphere</h2>

We replace r by 3 in the equation:

$\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot3^3 \end{gathered}$

Since 3³ = 3 · 3 · 3 = 27

$\begin{gathered} V=\frac{4}{3}\pi3^3 \\ \downarrow \\ V=\frac{4}{3}\pi\cdot27 \end{gathered}$

If we use π = 3.14:

$\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=\frac{4}{3}\cdot3.14\cdot27 \\ \downarrow \\ V=4.18\bar{6}\cdot27 \end{gathered}$

Rounding the first factor to the nearest hundredth (two digits after the decimal), we have:

4.18666... ≅ 4.19

Then, we have that:

$\begin{gathered} V=\frac{4}{3}\pi\cdot27 \\ \downarrow \\ V=4.19\cdot27 \\ =113.13 \end{gathered}$

Then, we have that:

<h2>Finding the volume of a cone</h2>

We have that the volume of a cone is given by:

$V=\frac{1}{3}\pi r^2h$

where r is the radius of its base and h is the height:

Then, in this case

r = 3

h = 6

and

π = 3.14

Replacing in the equation for the volume:

$\begin{gathered} V=\frac{1}{3}\pi r^2h \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \end{gathered}$

Then, we have:

3² = 9

$\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot3^2\cdot6 \\ \downarrow \\ V=\frac{1}{3}\cdot3.14\cdot9\cdot6 \\ V=\frac{1}{3}\cdot3.14\cdot54 \\ V=56.52 \\ \end{gathered}$

Answer: the volume of the cone that has the same circular base and height is 56.52 cm³

5 0

1 year ago

Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.<br> 16x0 + 2x2 .y-1

olganol [36]

Answer:

Step-by-step explanation

4 0

4 years ago

Jason sells tires and makes 15% commission. If he sold a total of $850 last week, how much commission will he earn?

Anastaziya [24]

Answer:

$127.5

Step-by-step explanation:

15% of $850 is 850 times .15 (% is decimal multiplied by 100)

850 * .15 = $127.50

6 0

3 years ago

Which is larger, 2 wholes or 9/4?

Inga [223]

answer:

9/4

step-by-step explanation:

2 as a fraction is 8/4

seeing as how 9/4>8/4

or you could convert 9/4 to a decimal which is 2.25 and 2.25>2

the larger number is 9/4

good luck :)

hopefully, this helps

have a good day !!

7 0

3 years ago

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