Simplify 2/5(a+b)+3/5(a+c)

Mathematics

2 answers:

Evgen [1.6K]3 years ago

4 0

Distribute

(2/5) (a) + (2/5) (b) + (3/5)(a) +(3/5)(c)

= 2/5a+2/5b+3/5a+3/5c

Combine like terms

2/5 a + 2/5 b + 3/5 a + 3/5 c

= ( 2/5 a + 3/5 a ) + ( 2/5 b) +(3/5 c)

= a + 2/5 b +3/5 c

I hope that's help !

Sergeu [11.5K]3 years ago

3 0

Distribute 2/5 and 3/5 into the ():
2/5(a+b)+3/5(a+c)

2/5 a+ 2/5 b+3/5 a+ 3/5 c

combine the like terms:
2/5 a+3/5 a= 5/5 a --> 1a --> a

new simplified equation:
a+2/5 b+3/5 c

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nicole is flying two kites. she has 104 feet of string out to one kite and 110 feet out to the other kite. the angle formed by t

tankabanditka [31]

Answer:

Step-by-step explanation:

Answer:

48.49 feet

Step-by-step explanation:

The diagrammatic sketch of the details given in the question was attached in the picture below.

From the picture below, the distance between the two kites is represented by (c) and can be calculated by using the cosine angle rule which is illustrated as:

$c^2 = a^2 + b^2 -2ab cos \ C$

where;

a = 110

b = 104

Cos C = 26°

Then;

$c^2 = 110^2 + 104^2 -2(110)(104) cos \ 26 \\ \\ c^2 = 12100 + 10816- 22880 ( 0.8988) \\ \\ c^2 = 22916- 20564.544 \\ \\ c^2 = 2351.456 \\ \\ c= \sqrt{2351.456} \\ \\ \mathbf{ c = 48.49 \ feet}$