6÷100can you help me
1 answer:
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Answer:
A'(0,-1), B'(1,0) , C'(3,-2), and D'(2,-3)
Step-by-step explanation:
The coordinates of rectangle ABCD are A(-1,0), B(0,-1), C(-2,-3), (-3,-2).
The mapping for a rotation through 90° clockwise about the origin is
Therefore:
Therefore the image rectangle has coordinates:
A'(0,-1), B'(1,0) , C'(3,-2), and D'(2,-3)
The first choice is correct.
Answer:
Step-by-step explanation:
Solve for the value of :
-Use <u>Distributive Property</u>:
-Take and add it to
:
-Subtract both sides by :
-Divide both sides by :
Therefore, the value of is
.
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