Answer:

Step-by-step explanation:
tanx=
sin60°/cos60°=
= 
Answer:
The closest measurement to the volume of hat is 84.82 in.³.
Step-by-step explanation:
Given:
The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.
Now, to find the volume of cone:
Putting the formula
.
Radius(r) is not given, finding the radius:
Radius(r)=half of the diameter(d)


.
Then, 
=
=
(
)
=
=
=
in.³
So, the volume is 84.78 in.³ .
Therefore, the closest measurement to the volume of hat is 84.82 in.³.
Answer:
1. 8
2. 4
3a. -6 and -4
3b. -1/2 and -5
Step-by-step explanation:
3a explanation:
Factor x^2+10x+24
(x+4)(x+6)
Set the factors equal to 0
x + 4 = 0
x + 6 = 0
-4 and -6
3b.
Factor left side of equation.
(2x+1)(x+5)=0
Set factors equal to 0.
2x + 1 = 0 or
x + 5 = 0
x = −1/2
x = -5
-5 and -1/2
Answer:
-20 or +4
Step-by-step explanation:
(x+20)*(x-4)=0
x+20=0 or x-4=0
X= -20 or +4
Answer: D
Step-by-step explanation:
Formula: A = 2(wl+hl+hw)
A = 2(5*3 + 7*3 + 7*5)
A = 2(15 + 21 + 35)
A = 2(71) = 142 sq inches