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Harrizon [31]
3 years ago
10

Inside the square ABCD, side 15 cm, the point M is considered, so that the triangle ABM is equilateral. Show that:

Mathematics
2 answers:
katovenus [111]3 years ago
8 0

Answer:

Step-by-step explanation:

a) area of square: 15 x 15 = 225 cm²

b) The steps are illustrated in the picture.

ΔADM ≅ ΔBCM (sas)

DM = CM

ΔMDC is isoceles

Vlad1618 [11]3 years ago
3 0

Answer:

a) 15*15=225 that is the area

b)see picture that I drew (sorry I have terrible drawing skills on a computer) but in a an isosceles triangle the two legs are congruent and the base is not when you cut a square diagonally as you have done this one the base will not be the same as the other two legs.

Step-by-step explanation:

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A bicycle store costs $2800 per month to operate. The store pays an average of $80 per bike. The average selling price of each b
murzikaleks [220]

Let x = quantity of bicycles

($160x) - ($80x) = $2800. To solve for x, we have to combine the terms on the left side.

$80x = $2800. Divide each side by $80.

x = 35.

35 bicycles must he sold each month to break even.

4 0
4 years ago
A cylinder has a volume of 384 cubic inches and a height of 8 inches, what is the radius
Triss [41]
The answer is:  3.91 inches .
___________________________________________

Note:  Volume of cylinder: V = (base area) * (height);

in which: V = volume = 384 in.³ ;
              h = height = 8 in. ; 
              Base area = area of the base (that is; "circle") = π r² ;
                                         in which; "r" = radius; 
___________________________________________
Solve for "r" :
___________________________________________
 V = π r² * (8 in.) ; 

384 in.³ = (8 in.) * (π r²) ;
___________________________________________
Divide EACH SIDE of the equation by "8" ; 
___________________________________________
 (384 in.³) / 8 = [ (8 in.) * (π r²) in.] / 8 ; 
___________________________________________
 to get: 
___________________________________________
   48 in.³ = (π r²) in.² * in.   ;
___________________________________________
 ↔  (π r²) in.² * in. =  48 in.³  ;  
___________________________________________
Rewrite this equation; using "3.14" as an approximation for: π ;
__________________________________________________
 (3.14 * r²) in.² * in. =  48 in.³ 
_______________________________________
Divide EACH SIDE of the equation by:

"[(3.14)*(in.²)*(in.)]" ;  to isolate "r² " on one side of the equation; 
                                 (since we want to solve for "r") ;
_____________________________________________________
→ [(3.14 * r²) in.² * in.] / [(3.14)*(in.²)*(in.)]  = 48 in.³ / [(3.14)*(in.²)*(in.)] ; 
__________________________________________________
→ to get:   r² = 48/3.14 ;
________________________
      → r² = 15.2866242038216561 ;
_______________________________________
To solve for "r" (the radius; take the "positive square root" of EACH side of the equation:
__________________________________________________
     → +√(r²) = +√(15.2866242038216561)
__________________________________________________
     →  r = 3.9098112747064475286  ; round to 3.91 inches .
___________________________________________________
4 0
3 years ago
Read 2 more answers
Find the volume of a coffee can with r=7.5 cm, h= 16.8 cm, to the nearest cubic centimeter.
andriy [413]

Answer:

V = 2968.8 cm³ or 2969 cm³

Step-by-step explanation:

Given the radius, r = 7.5 cm, of a cylindrical coffee can whose height, h = 16.8 cm:

We can find the volume of a cylinder by using the following formula:

V = πr²h

Substitute the given values into the formula:

r = 7.5 cm

h = 16.8 cm

V = πr²h

V = π(7.5)²(16.8)

V = π × 56.25 × 16.8

V = 2968.8 cm³ or 2969 cm³

Therefore, the volume of a coffee can is 2969 cm³.

8 0
3 years ago
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Softa [21]
Neither because they dont have the same x points so they cant be vertical and they dont have the same y points so it cant be horizontal
6 0
3 years ago
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Solve for x<br> 3x - 2/ 3x + 1
givi [52]

Answer:

7/3x+1

Step-by-step explanation:

3x - 2/ 3x + 1

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8 0
4 years ago
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