Answer:
12.4 cm³
Step-by-step explanation:
From the picture attached,
Radius of the circular top of the cone = 
= 
Height of the cone = h
Lateral height of the cone = h
By applying Pythagoras theorem in the right triangle of the cone,
l² = r² + h²
6² = 1² + h²
h = 
h = 
Ice cream needed to fill one cone = Volume of the cone
Since, formula for the volume of the cone V = 
V = 
= 6.195
≈ 6.20 cm³
Ice cream needed to fill the two cones = 2 × 6.20
= 12.4 cm³
Therefore, ice cream needed to fill the two cone = 12.4 cm³
The opposite of left is right, so the number opposite k is k units to the right.
Answer:
y-1=-3/4(x+8)
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept,
y-y1=m(x-x1)
y-1=-3/4(x-(-8))
y-1=-3/4(x+8)
Answer:
x : y = 9 : 13
Step-by-step explanation:
Given that
3x - y : x + 2y = 2 : 5
Express the ratio in fractional form, that is
= 
( cross- multiply )
5(3x - y) = 2(x + 2y) ← distribute parenthesis on both sides )
15x - 5y = 2x + 4y ( subtract 2x from both sides )
13x - 5y = 4y ( add 5y to both sides )
13x = 9y ( divide both sides by 13 )
x = 
y ( divide both sides by y )
= , that is
x : y = 9 : 13
Given end points of diameter,
(x1,y1)=(-3,-4)
(x2,y2)=(0,0)
Now,
the equation of circle is,
(x-x1)(x-x2)+(y-y1)(y-y2)=0
or, (x+3)(x-0)+(y+4)(y-0)=0
or, x^2 +3x +y^2 +4y =0
or, x^2 +y^2 +3x + 4y=0
which is in the form of x^2 +y^2 +2gx +2fy + c=0
where,
g=3/2
h=2
c=0
Now,
