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vlada-n [284]
3 years ago
14

Rewrite the following mixed number as an improper fraction: -8 2/3

Mathematics
2 answers:
Fynjy0 [20]3 years ago
5 0

Answer:

-22/3

Step-by-step explanation:

to convert a mixed number to an improper fraction:

whole number × denominator + numerator

keep the denominator

-8 × 3 + 2

-24 + 2

-22

keep denominator

-22/3

vazorg [7]3 years ago
4 0
ANSWER : -22/3
Try & Solve !
Use A Calculator! :)
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Find the missing angle
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Answer:

Angle 1 is 62°

Angle 2 is 45°

Angle 3 is 24°

Step-by-step explanation:

4 0
3 years ago
Find the area of the region bounded by the y-axis, the line y=6, and the line y = 1/2.
Ghella [55]

Solution:

As region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis.

We consider a line , one dimensional  if it's thickness is negligible.

So, Line is  two dimensional if it's thickness is not negligible becomes a quadrilateral.

So, Area (region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis)= Area of line segment between [,y=6 and  y=1/2.]= 6-1/2=11/2 units if we consider thickness of line as negligible.

4 0
3 years ago
Which is closest to the total surface area of a cylinder with a radius of 5 inches and a height that is equal to its diameter?
Pie
For this case, the surface area of the cylinder is given by:
 A = 2 * pi * r * h + 2 * pi * r ^ 2
 Where.
 r: cylinder radius
 h: cylinder height
 Substituting values we have:
 A = 2 * 3.14 * 5 * (2 * 5) + 2 * 3.14 * 5 ^ 2
 A = 471
 Answer:
 
The total surface area of the cylinder is:
 
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5 0
3 years ago
Read 2 more answers
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
Please help picture below
Gekata [30.6K]
A. The sculptor will have to sculpt away 1M on each side.

Explanation: 3 • 1_1/2 • 1_1/2
To get to 2 • 1/2 • 1/2, subtract 1 meter from each side of the rectangular prism and you’ll get that! :)
7 0
3 years ago
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