Answer:
90π cm²
Step-by-step explanation:
Given: Radius of circular base= 5 cm
height= 12 cm
Now finding the surface of cone.
Formula; Surface area of cone=
Where; r= radius
l= slant height
B is the area of base, which is circle.
Area of circle (B)= πr²
Area of circle (B)=
∴ Area of circle (B)=
Finding slant height (l)
Formula;
⇒l =
∴ l=
Next, using the formula for finding surface area of cone.
Surface area of cone=
⇒ Surface area of cone=
∴ Surface area of cone= 90π cm²
Answer:
y = -12/11
Step-by-step explanation:
-8y - 13 = 14y + 11
-8y - 14y = 11 + 13
-22y = 24
y = 24/-22
y = -12/11
Check:
-8*-12/11 - 13 = 14*-12/11 + 11
96/11 - 13 = -168/11 + 11
96/11 - 143/11 = -168/11 + 121/11 = -47/11
Answer:
72
Step-by-step explanation:
I did the math
please mark brainliest
Answer:
( )
Step-by-step explanation:
( ) shorthand label indicates an embedded design in mixed method research. It indicates that one form of data collection is embedded within another.Mostly ( ) is used used when data collection is embedded into larger data. So we can say that ( ) shorthand label indicates an embedded design in mixed research method
<h3>1) <u>What is the solution for the system of equations</u></h3>
-2x+y=2...(i)
y=4x-1...(ii)
substitute y in (i)
-2x+(4x-1)=2
-2x+4x-1=2
-2x+4x=2+1
2x=3
2x/2=3/2
x=3/2
replacing x in (ii)
y=4(3/2)-1
y=6-1
y=5
solution=(3/2,5)
<h3 /><h3>2) <u>Solve the system of equations.</u></h3>
x-y+z=6 ...(i)
4y+1=z ...(ii)
3y=2z...(iii)
from(ii),
z=4y+1
substitute z in (iii)
3y=2(4y+1)
3y=8y+2
3y-8y=2
-5y=2
-5y/5=2/5
y=-2/5
substitute y in (ii)
z=4(-2/5)+1
z=-3/5
substitute z and y in (i)
x-y+z=6
x=6+y-z
x=6+(-2/5)-(-3/5)
x=31/5
solution=(31/5,-2/5,-3/5)
<h3>
3) <u>What is the solution for the system of equations</u></h3>
-4x+y=-2 ...(i)
y+5=-6x...(ii)
from (i),
y=-2+4x
substitute y in (ii)
(-2+4x)+5=-6x
-2+4x+5=-6x
-2+5=-6x-4x
3=-10x
3/-10=-10x/-10
x=-3/10
substitute x in;;y=-2+4x
y=-2+4(-3/10)
y=-2-6/5
y=-16/5
solution=(-3/10,-16/5)