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kotegsom [21]
3 years ago
6

Solve the system by substitution. - 2x + 7y = 15 6y = х​

Mathematics
1 answer:
ruslelena [56]3 years ago
7 0
Tuch CG GC bnmkgcc hhdnjxuxjfu yckfk. Icing
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The diagram shows a sector of a circle radius 10cm
Yuki888 [10]

Answer:

\text{Perimeter of sector = 43.6 (Rounded to the nearest tenth.)}

Step-by-step explanation:

\text{Perimeter of the sector = Radius + arc length + radius}

\text{Radius = 10 cm}

\text{Perimeter of the sector = 10 + arc length + 10  }

 \text{Perimeter of the sector = 20 + arc length  }

\text{arc length   = (sector angle/ 360 ) * perimeter of the circle}

\text{Perimeter of a circle }=2\pi r

\text{sector angle} = 135

\text{arc length}   =  (135/ 360 ) * 2\pi (10)

= (3/8) 20\pi

= 15\pi /2

\text{Using  }\pi =3.14

= 15 * 3.14 /2

= 23.55

\text{Perimeter of the sector = 20  + 23.55}

= 43.55

= 43.6  cm

\text{perimeter of the sector  = 43.6  cm }

8 0
2 years ago
If 5^-x = 25, what is the value of 5^0.5x?
scoundrel [369]

Answer:

1/5

Step-by-step explanation:

5^{-x} = 25 so  x = -2 because 5^{2} = 25

if x = -2 then plug in: 5^1/2(-2)  =  5^-1  = 1/5

3 0
3 years ago
Find the length of a side of an equilateral triangle given its altitude is six inches long.
vampirchik [111]
An equilateral triangle has three 60 degree angles.
The altitude divides it into two 30 60 90 triangles.
The altitude is the "middle side" of such a triangle.
When that is the case, the middle side divided by the square root of 3 = the short side and multiplied by (2/sq root (3)) equals the hypotenuse.
The hypotenuse is the side of the equilateral triangle. 
So, 6 * 2 / (sq root of 3) = <span> <span> <span> 6.9282032303 </span> </span> </span>

Source:
http://www.1728.org/trig2.htm


8 0
3 years ago
Adult tickets for the movie theater cost $9. Child tickets cost $5.25. Write an expression for the total cost of a group of adul
sammy [17]

Answer:

Step-by-step explanation:

9a + 5.25c

5 0
3 years ago
Find the rate of change
Bezzdna [24]

Answer: 40 mi/h

Step-by-step explanation:

it goes up 80 and over 2, so the rate of change is 80/2 = 40 mi/h

8 0
2 years ago
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