What is the answer to 5/8 . 2/7 and what does the dot stand for the dot is actually a little higher

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

7 0

The dot stands for multiplication

Illusion [34]3 years ago

6 0

First, the dot stands for the "product". You have to multiply.

5/8* 2/7
= [5/ (2*4)]* (2/7)
= 5/4* 1/7 (because 2 and 2 cancel out)
= (5*1)/ (4*7)
= 5/28

The final answer is 5/28~

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Learning Task 4. Solve the problem by applying the sum and product of roots

Delvig [45]

Answer:

<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>

Step-by-step explanation:

For a quadratic equation:

$x^2+bx+c=0$

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.

We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:

P=2(L+W)=36

A=L.W=80

Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.

Thus we use the semi perimeter instead as P/2=L+W=18

The quadratic equation is, then:

$x^2-18x+80=0$