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3 years ago

14

A and b are subsets of u such that a = {multiples of 3}, b = {factors of 24}. u = {x|x is an integer, 2 < x < 10} list the

elements of (i) u ; (ii)
b.

1 answer:

Alina [70]3 years ago

7 0

U = {3, 4, 5, 6, 7, 8, 9}

b = {3, 4, 6, 8}

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At the end of April, Mandy told Bill that she has read 16 books this year and reads 2 books each month. Bill wants to catch up t

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Mandy Increases her books by 2 per month.
Bill increases his books by 4 per month.

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Find the value of tanθ, if cosθ = 4/5 ; 0° ≤ θ< 90°

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Answer:

3/4

Step-by-step explanation:

<u>Given </u>

cosθ = 4/5
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<u>In the first quadrant both sine and cosine are positive, so as tangent.</u>

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3/4

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3 years ago

Penny joined a yoga studio that charges a $25 membership fee and $45 each month. Assume y = total cost and x = number of months.

Firlakuza [10]

Answer:

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How to find the surface area and volume of a square

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Given:

The shape is square.

To find:

The surface area and volume of a square.

Explanation:

The length of each side of the square is "a" units.

The formula for the surface area of the square is,

$\begin{gathered} Surface\text{ area = 6}\times Area\text{ of the square} \\ S.A=6a^2\text{ square units} \end{gathered}$

The formula for the volume of the square is,

$\begin{gathered} Volume,\text{ V= Length }\times breadth\times Height \\ =a\times a\times a\text{ cubic units} \\ V=a^3\text{ }cubic\text{ }units \end{gathered}$

Using these formulas, we can find the surface area and the volume of the square that has side length "a" units.

For example:

Let the side length of 3cm for a square.

So, the dimensions are 3cm by 3cm by 3cm.

That is,

The Length is 3cm.

The breadth is 3cm.

The height is 3cm.

So,

$a=3cm$

The surface area of the square is,

$\begin{gathered} S.A=6a^2 \\ =6\left(3\right)^2 \\ =6\times9 \\ =54cm^2 \end{gathered}$

Therefore, the surface area of the square is 54 square cm.

The volume of the square is,

$\begin{gathered} V=a^3 \\ =3^3 \\ V=27cm^3 \end{gathered}$

Therefore, the volume of the square is 27 cubic cm.

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