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inessss [21]
2 years ago
15

Sin40°-sin20°/cos220°-cos200=√3​

Mathematics
1 answer:
Mumz [18]2 years ago
7 0

Answer:

1.7320508

Step-by-step explanation:

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In May Mr. Lee's earings were 60 percent of the Lee family's total income. In June Mr. Lee earned 20 percent more than in May. I
murzikaleks [220]

Answer: 64.29%

Step-by-step explanation:

Let the total earnings of the Lee family in May be x

Amount earned by Mr Lee in May = 60% of x = 0.6x

Amount earned by other family members in May = x - 0.6x (total earnings - Mr Lee's earnings) = 0.4x

Amount earned by Mr Lee in June = 20% more than what Mr Lee earned in May.

That is, amount earned by Mr Lee in June = 1.2 × 0.6x = 0.72x

Amount earned by other members of the family in June remains unchanged, that is = 0.4x

Total amount earned by the Lee family in June = 0.72x + 0.4x = 1.12x

Percentage of total earnings in June earned by Mr. Lee = (0.72x/1.12x) × 100% = 64.29%.

QED!

6 0
3 years ago
Find the area of the triangle
Helga [31]

Answer:

The answer is

\huge \boxed{54 \:  \:  {units}^{2} }

Step-by-step explanation:

Area of a triangle is given by

A =  \frac{1}{2}  \times base \times height \\

From the question

base = 18

height = 6

So we have

A =  \frac{1}{2}  \times 18 \times 6 \\  = 9 \times 6 \\  = 54 \:  \:  \:  \:  \:

We have the final answer as

<h3>54 units²</h3>

Hope this helps you

3 0
3 years ago
Read 2 more answers
Find the GCF of 6,36
Ksju [112]

Answer:

Okay, so the answer would be 6. please let this be the brainliest.

Step-by-step explanation:

Find the prime factorization of 36

36=2x2x3x3

gcf-2x3

7 0
3 years ago
Graph the line that passes through the points (7, 0) and (-2, 9) and determine the equation of the line.
MariettaO [177]

Answer:

y = -1x + 7

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 0 / -2 - 7

9 / -9

= -1

y = -1x + b

0 = -1(7) + b

0 = -7 + b

7 = b

5 0
2 years ago
One positive number is one-fifth of another number. the difference of the two numbers is 84. find the numbers.
seraphim [82]
Answer:  The numbers are:  " 21 " and " 105 " .
___________________________________________________
Explanation:
___________________________________________________
Let "x" be the "one positive number:

Let "y" be the "[an]othyer number".

x = 1/5 (y)
___________________________________________________
Given that the difference of the two number is "84" ;  and that "x" is (1/5) of  "y" ;  we determine that "x" is smaller than "y".

So, y − x = 84 .

Add "x" to each side of this equation; to solve for "y" in terms of "x" ;

y − x + x = 84 + x  ;

 y = 84 + x ;
___________________________________________________
So, we have: 

 x = (1/5) y ;

and:  y = 84 + x  ;

Substitute "(1/5)y" for "x" ;  in  "y = 84 + x " ;  to solve for "y" ;

 y = 84 + [ (1/5)y ]

Subtract  " [ (1/5)y ] " from EACH SIDE of the equation ;

y − [ (1/5)y ] = 84 + [ (1/5)y ] −  [ (1/5)y ]  ;

to get:

  [ (4/5)y ] = 84 ;


       ↔    (4y) / 5 = 84  ;
      
        →  4y = 5 * 84  ;

      Divide EACH SIDE of the equation by "4" ; 
to isolate "y" on one side of the equation; and to solve for "y" ;

           4y / 4 = (5 * 84) / 4 ;

                 y =  5 * (84/4) = 5 * 21 = 105 .

   y = 105 .
___________________________________________________
Now, plug "105" for "y" into:
___________________________________________________
Either:
___________________________________________________
 x = (1/5) y ;

OR:

  y = 84 + x  ;
___________________________________________________
to solve for "x" ;
___________________________________________________
Let us do so in BOTH equations; to see if we get the same value for "x" ; which is a method to "double check" our answer ;
___________________________________________________
Start with:

x = (1/5)y 

    →  (1/5)*(105) = 105 / 5 = 21 ;  x = 21 ; 

___________________________________________________
So, x = 21;  y = 105 .
___________________________________________________
Now, let us see if this values hold true in the other equation:
___________________________________________________
y = 84 + x ;

105 = ? 84 + 21 ?
 
105 = ? 105 ? Yes!
___________________________________________________
The numbers are:  " 21 " and  "105 " .
___________________________________________________

6 0
3 years ago
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