Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone =
r² +
r
(where r = radius of the base and
= slant height)
Given slant height
= 10 and surface area = 188.5
Surface area =
r² +
r
188.5 =
r² + 10
r
r² + 10
r - 188.5 = 0
r =
= 4.219621117...
Volume of a cone = (1/3)
r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of
using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² =
²
h² =
² - r²
h = √(
² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)
r²√(
² - r²)
Given slant height
= 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer:
n=3.5
Step-by-step explanation:
2²=4
14÷4=3.5
3.5×4=14
3.5×2²=14
Xy=10
x+y=29
subtract x from both sides for second equation
y=-x-29
subsitute in second equaiton
x(-x-29)=10
-x^2-29x=10
add x^2+29x to both sides
x^2+29x+10=0
quadratic formula
if you have
ax^2+bx+c=0,
x=

so
x^2+29x+10=0
a=1
b=29
c=10
x=
x=
x=

x=

x=

or

those are the 2 numbers
aprox=-28.65 and -0.349
Answer:
y = -3x +5. if y>-1
Step-by-step explanation:
-1 < -3x + 5
-6 < -3x
x < 2
Net worth day 2 day not really. look in wallet. month 2 month check saving/checking account. net worth isn't done on either normally.