The strategy is called expanding notation.
Volume of a cylinder is calculated as pi x radius x radius x height
pi is 3.14
so volume = 3.14 x 6 feet x 6 feet x 12 feet = 1356.48 ft3
so the correct answer is C)1,357 ft3
4x^2 + 9xy - y^2 = 8
8x + 9xf'(x) + 9y - 2yf'(x) = 0
f'(x) (2y - 9x) = 8x + 9y
f'(x) = (8x + 9y)/(2y - 9x)
Answer:
The Proof for question no 20 and 21 are below.
Step-by-step explanation:
20.
Given:
∠PTR≅∠RSP
PT ≅ RS
To Prove:
ΔPQT ≅ ΔRQS
Proof:
In ΔPQT and ΔRQS
Statements Reasons
1. ∠PTR ≅ ∠RSP 1 .Given
2. ∠PQT ≅ ∠ROS 2. Vertical Opposite Angle Theorem.
3. PT ≅ RS 3. Given
4. ΔPQT ≅ ΔRQS 4. By A-A-S Congruence Postulate ....Proved
21.
Given:
PO ≅ SO
O is the Mid Point of NT
To Prove:
∠N ≅ ∠T
Proof:
In ΔPON and ΔSOT
Statements Reasons
1. PO ≅ S O 1 .Given
2. ∠PON ≅ ∠SOT 2. Vertical Opposite Angle Theorem.
3. NO ≅ TO 3. O is the Mid Point of NT
4. ΔPON ≅ ΔSOT 4. By S-A-S Congruence Postulate
5. ∠N ≅ ∠T 5. Corresponding Parts of Congruent Triangles are Congruent .( CPCTC )...Proved
