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Paraphin [41]
3 years ago
9

(sinx-1)(sinx+cos^2x) multiply and simplify

Mathematics
1 answer:
sveta [45]3 years ago
7 0
\bf [sin(x)-1][sin(x)+cos^2(x)]\\\\
-------------------------------\\\\
sin^2(x)+sin(x)cos^2(x)-sin(x)-cos^2(x)
\\\\\\\
[sin^2(x)-cos^2(x)]+[sin(x)cos^2(x)-sin(x)]
\\\\\\
-[cos^2(x)-sin^2(x)]-[sin(x)-sin(x)cos^2(x)]
\\\\\\
-[\stackrel{cos(2x)}{cos^2(x)-sin^2(x)}]-sin(x)\stackrel{sin^2(x)}{[1-cos^2(x)]}
\\\\\\
-cos(2x)-sin(x)sin^2(x)\implies -cos(2x)-sin^3(x)
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If n + 10 = 45.5, then what is the value of the expression n - 25?
Citrus2011 [14]

Answer: 90

Step-by-step explanation:

45.5-.5=45

45^2=90

8 0
3 years ago
The height of a triangle is half the length of its base. The area of the triangle is 12.25cm. Find the height
pentagon [3]
Answer:  The height of the triangle is:  " 3.5 cm " .
_______________________________________________________
<u>
Note</u>:
 The formula/equation for the area, "A" , of a triangle is:

           A = (1/2) * b * h  ;  or write as:  A = (b * h) / 2 ; 
_________________________________________________
 in which:   "A = area of the triangle" ; 
                  "b = base length" ; 
                  "h = "[perpendicular] height" ; 
_________________________________________________
     Given:  h = (b/2) ;
                  A = 12.25 cm²
{Note:  Let us assume that the given area was "12.25 cm² " .}. 
_________________________________________________
 We are to find the height, "h" ; 

The formula for the Area, "A", is:   A = (b * h) / 2 ; 

Let us rearrange the formula ;
 to isolate the "h" (height) on one side of the equation; 

→ Multiply EACH side of the equation by "2" ; to eliminate the "fraction" ; 

2*A = [ (b * h) / 2 ] * 2 ; 

   to get:   " 2A = b * h " ; 

↔    " b * h = 2A " ; 

Divide EACH SIDE of the equation by "b" ; to isolate "h" on one side of the equation: 

        →  (b * h) / b  = (2A) / b ; 

to get: 
  
        →   h  =  2A / b ; 

Since  "h = b/2" ; subtitute "b/2" for "h" ; 
 
Plug in:  "12.25 cm² " for "A" ;

       →  b/2  =  2A/b ;   →  Note:  " 2A/b = [2* (12.25 cm²) ] / b " ;

Note:  " 2* (12.25 cm²) = 24.5 cm² ; 

Rewrite as: 

       →  b/2  =  (24.5 cm²) / b ;
_____________________________________
Cross-multiply:   b*b = (24.5 cm²) *2 ; 

to get:   b² = 49 cm² ; 

Take the "positive square root" of each side of the equation" ; 
            to isolate "b" on one side of the equation ; & to solve for "b" ; 

             →  +√(b²)  =  +√(49 cm²) ; 

             →  b = 7 cm ; 

Now, we want to solve for "h" (the height) :
_________________________________________________________
             →  h = b / 2 = 7 cm / 2 = 3.5 cm ; 
_________________________________________________________
Answer:  The height of the triangle is:  " 3.5 cm <span>" .
</span>_________________________________________________________
6 0
3 years ago
Write 29% as a decimal
Afina-wow [57]

Answer:

https://researchmaniacs.com/Math/Fractions/What-Is-29/100-As-A-Decimal.html

What is 29/100 as a decimal? - Research Maniacs

https://www.geteasysolution.com/29/100_as_a_decimal

29/100 as a decimal - Get Easy Solution

https://www.asdecimal.com/fraction/29/100

29/100 As Decimal

8 0
3 years ago
Read 2 more answers
Simplify this problem
Helga [31]

Answer:

c^2 +17c -5

Step-by-step explanation:

I like to line them up vertically

2c^2 +7c - 1

- (c^2 -10c+4)

----------------------

Distribute the minus sign

2c^2 +7c - 1

- c^2 +10c-4

----------------------

c^2 +17c -5

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Answer:

N=10

Step-by-step explanation:

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