Find the range and vertex for f(x) = -2|x + 1| - 5
1 answer:
You might be interested in
Formula of the Volume of a hemisphere:
V =
r³
144
= r³
Multiply by 3 to cancel fraction in the right side
144 × 3 = 2 r³
432 = 2r³
Divide by 2 on either sides to isolate r³
= 
r³
2 and 
cancel out
216 = r³
Take cube root to find the radius
![\sqrt[3]{216}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B216%7D%20)
= ![\sqrt[3]{r^3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Br%5E3%7D%20)
6 = r
Radius is 6 units
The formula of the surface area of a hemisphere is:
S.A = 2r² + r²
=
(6)² + (6)²
=2 × 36 + 36
= 72 + 36
= 108 units² (in terms of )
≈ 339.12 units²
Surface area = 108 units
V =
144
Multiply by 3 to cancel fraction in the right side
144
432
Divide by 2
2
216 = r³
Take cube root to find the radius
6 = r
Radius is 6 units
The formula of the surface area of a hemisphere is:
S.A = 2
=
=2
= 72
= 108
≈ 339.12 units²
Surface area = 108
Answer:
168 cm³
Step-by-step explanation:
The base of the prism is a right triangle whose hypotenuse is 10 cm and one other side is 6 cm.
So, the third side of the triangle = cm.
{Since we have applied the Pythagoras theorem.}
Hence, the area of the base triangle is cm².
Therefore, the volume of the prism is = cm³ {Since volume of a prism is given by ( Area of the base triangle ) × ( Height of the prism )}
(Answer)