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Paraphin [41]
2 years ago
9

I need help with this pleaseeee

Mathematics
1 answer:
JulijaS [17]2 years ago
3 0

~~~~~~(2s+2)+ 90+ (4s-8) = 180\\\\\implies 6s+84=180\\\\\implies 6s = 180 -84\\\\\implies 6s = 96\\\\\implies s = \dfrac{96}6\\\\\implies s =16

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Simplify the cube root in simplest radical form.<br> 9x374<br> Please help
algol [13]

Answer:

D. xy\sqrt[3]{9y}

Step-by-step explanation:

\sqrt[3]{9x^3y^4}

\sqrt[3]{9}\sqrt[3]{x^3}\sqrt[3]{y^4}

The \sqrt[3]{x^3} cancels out to become x:

\sqrt[3]{9}x\sqrt[3]{y^4}

Split the y^4=y*y^3

\sqrt[3]{9}x\sqrt[3]{y^3}\sqrt[3]{y^1}

\sqrt[3]{y^3} =y

xy\sqrt[3]{9} \sqrt[3]{y}

Put the cube root of y and cube root of 9 together:

xy\sqrt[3]{9y}

6 0
3 years ago
The area of a rectangle is 980 in squared. the ratio of the length to the width is 5 : 4. find the length and the width.
ella [17]
Answer:   The length of the rectangle is 35 in.

                 The width of the rectangle is 28 in.
_________________________________________________________
Explanation:
_________________________________________________________
The formula for the area, "A", of a rectangle:

Area (A) = length (L) * width (w) ; 
 
  that is:   "  A  =  L  *  w  "  ;

A = 980 in²  (given);

ratio of the length to the width is:  " 5 : 4 " (given); 

→   Find the length (L) and the width (w).
_________________________________________________________

→  980 in²  =  (5x) * (4x) ; 

in which:  " 980 in² " is the area of the triangle; 

                 " 5x" = the length (L) of the rectangle, for which we shall solve; 

                 " 4x" = the width (w) of the rectangle, for which we shall solve.
_______________________________________________________
If we find solve for "x" ; we can solve for  "5x" and "4x" (the "length" and the "width", respectively);  by plugging in the solved value for "x" ; 
_______________________________________________________

   →  980 in²  =  (5x) * (4x) ; 

   ↔   (5x) * (4x) = 980 in²  ; 

   →   (5x) * (4x) = (5) * (4) * (x) * (x)  = 20 * x² = 20x² ;

   →  20x²  =  980 ;

Divide each side by "10" ; by canceling out a "0" on each side of the equation:

   →  2x² = 98 ; 

Now, divide each side of the equation by "2" ;

   → 2x² / 2  =  98 / 2 ; 

to get:  

→  x² = 49 ; 

Now, take the "positive square root" of each side of the equation;  (since a "length or width" cannot be a "negative value") ; 
    to isolate "x" on one side of the equation; & to solve for "x" ; 

→  ⁺√(x²) = √49 ; 

to get:

→  x = 7 ;
______________________________________________________
Now, we can solve for the "length" and the "width" ; 

→  The length is:  "5x" ;   

     5x = 5(7) =  " 35 in " ; 
______________________________________________________
→  The width is:  "4x" ; 

     4x =  4(7) =  "28 in."
______________________________________________________
Let us check our answer:

    →  A = L * w ; 

    →  980 in² = ?  35 in. * 28 in. ?? ; 

   Using a calculator:  "35 * 28 = 980" .  Yes!   ;
____________________________________________________
 { Also note:  " in * in = in² " ?  Yes! } .
____________________________________________________
3 0
3 years ago
What is the volume of a rectangular pool that is 20.00 meters long, 12.00 meters deep, and 13.00 feet wide (1 meter
almond37 [142]

Answer:

240 m³

Step-by-step explanation:

volume = length × width × depth

240 m³ = 20 m × 1 m × 12 m

3 0
2 years ago
Raphael wants to join a game-of-the-month club. The first club costs $60 to
ikadub [295]

Answer:

1st club 8 games 2nd cub 1

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3 years ago
Read 2 more answers
Put the following equation of a line into slope-intercept form, simplifying all
Maurinko [17]

Answer:

y=-4/5 x + 7

Step-by-step explanation:

Subtract 8 x by 8 x. Do not put 8 x under 10 y or 70.

Then divide 10 by all of the terms.

Then you have: y= 7  - 8/10 x

But then you have to flip 7 and - 8/10 x

And get y= -8/10 x + 7

Simplified is y= 4/5 x + 7

REMEMBER: y=m x + b

M= Slope

B= y-intercept

6 0
3 years ago
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