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Drupady [299]
3 years ago
5

Is a rhombus a quadrilateral always?

Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0

Long Answer:

Yes, a rhombus is a quadrilateral with 4 equal sides. Every square has 4 equal length sides, so every square is a rhombus.

Short Answer:

Yes

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Find the missing probability in the table below.
KATRIN_1 [288]
X          1           2        3         4
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A nutritionist planning a diet for a football player wants him to consume 3,500 Calories and 725 grams of food daily. Calories f
Hoochie [10]

Answer:

123.75 g  

Step-by-step explanation:

You have three unknowns: protein (p), carbohydrate (c), and fat (f)

You need three equations for the three unknowns.  They are

(1)    p +   c +   f =    725

(2) 4p + 4c + 9f = 3500

(3) 4p         + 9f = 0.45(3500) = 1575

Subtract (3) from (2)

   4c = 1925

(4)  c =   481.25

Substitute (4) into (1)

    p + 481.25 + f = 725

(5) p +                f = 243.75

Multiply (5) by 4

(6) 4p + 4f = 975

Subtract (6) from (3)

  5f = 600

(7) f =   120

Substitute (7) into (3)

4p + 1080 = 1575

4p             =   495

 p             =    123.75

The diet will include 123.75 g of protein.

Check:

\begin{array}{rcl}\\123.75 + 481.25 + 120 &=&725\\ 725 & = & 725\\&&\\4(123.75) + 4(481.25) + 9(120) &=& 3500\\495 + 1925  + 1080& =& 3500\\3500 &=& 3500\\&&\\4(123.75) + 9(120)  &=& 1575\\495 + 1080&=& 1575\\1575&=& 1575\\\end{array}

It checks.

5 0
4 years ago
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