How much is 1/2+1/4+1/3 equal to?

Mathematics

2 answers:

vampirchik [111]3 years ago

3 0

Answer:

=13/12=1 and 1/12

Step-by-step explanation:

aleksklad [387]3 years ago

3 0

1/2= 6/12

1/4=3/12

1/3=4/12

6/12+3/12+4/12 = 13/12

break a legs!

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Clara has a purse in the shape of a trapezoid the top of the purse measures 22 cm while the bottom of the part measures 36 cm if

pashok25 [27]

The height of purse which is in trapezoid shape is 26 cm

Solution:

Clara has a purse in the shape of a trapezoid

The area of trapezoid is given by formula:

$Area = \frac{a+b}{2} \times h$

Where,

"h" is the height

"a" and "b" are the parallel sides length

From given,

Area = 754 cm

a = 22 cm

b = 36 cm

h = ?

Substituting the values in formula,

$754 = \frac{22+36}{2} \times h\\\\754 = \frac{58}{2} \times h\\\\Simplify\ the\ above\ expression\\\\754 = 29h\\\\Divide\ both\ sides\ of\ equation\ by\ 29\\\\h = 26$

Thus height of purse which is in trapezoid shape is 26 cm

8 0

3 years ago

The partial factorization of x2 – 3x – 10 is modeled with algebra tiles. An algebra tile configuration. 1 tile is in the Factor

Anestetic [448]

2 positive unit tiles are needed to complete the factorization.

Given

The partial factorization of x^2 – 3x – 10 is modeled with algebra tiles.

<h3>Partial factorization;</h3>

Partial fractions are the fractions used for the decomposition of a rational expression.

When an algebraic expression is split into a sum of two or more rational expressions, then each part is called a partial fraction.

In the second line, we can see that first term 1 is labeled + x squared, second is labeled + 2x (two positive tiles above), then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.

The negative values are represented as tiles labeled below (negative tiles) while positive values are tiles labeled above (positive tiles).

Therefore,

The factorization is;

$\rm x^2-3x-10=0\\\\x^2+2x-5x-10=0\\\\x(x+2)-5(x+2)=0\\\\(x+2)(x-5)=0$