Answer:
384π
Step-by-step explanation:
From the diagram,
Diameter ( d ) = 16
Height ( h ) = 16
To find : Surface area of Cylinder = ?
Radius ( r ) = ?
Formula : -
r = d / 2
r = 16 / 2
r = 8
Formula : -
Surface area of Cylinder = 2πr ( r + h )
Surface area of Cylinder = 2πr ( r + h )
= 2π x 8 ( 8 + 16 )
= 16π x 24
Surface area of Cylinder = 384π
18 x 3 = 54. So the correct answer is D. 54 pounds.
Answer:
1.345*10^7
Step-by-step explanation:
Here we need to rewrite 13,450,000 in scientific notation, which looks like x.xx*10^n.
To move the decimal point in 13,450,000 to its proper place between the 3 and the 4, a move of 7 digits, we need to multiply 1.345 by 10^7.
13,450,000 in scientific notation is 1.345*10^7.
Answer:
The Proof and Explanation for
Part C ,
Qs 9 and
Qs 10 are below.
Step-by-step explanation:
PART C .
Given:
AD || BC ,
To Prove:
ΔAED ≅ ΔCEB
Proof:
Statement Reason
1. AD || BC 1. Given
2. ∠A ≅ ∠C 2. Alternate Angles Theorem as AD || BC
3. ∠AED ≅ ∠CEB 3. Vertical Opposite Angle Theorem.
4. AE ≅ EC 4. Given
5. ΔAED ≅ ΔCEB 5. By A-S-A congruence test....Proved
Qs 9)
Given:
AB ≅ BC ,
∠ABD ≅ ∠CBD
To Prove:
∠A ≅ ∠C
Proof:
Statement Reason
1. ∠ABD ≅ ∠CBD 1. Given
2. AB ≅ CB 2. Given
3. BD ≅ BD 3. Reflexive Property
4. ΔABD ≅ ΔCBD 4. By S-A-S congruence test
5. ∠A ≅ ∠C 5. Corresponding parts of congruent Triangles Proved.
Qs 10)
Given:
∠MCI ≅ ∠AIC
MC ≅ AI
To Prove:
ΔMCI ≅ ΔAIC
Proof:
Statement Reason
1. ∠MCI ≅ ∠AIC 1. Given
2. MC ≅ AI 2. Given
3. CI ≅ CI 3. Reflexive Property
4. ΔMCI ≅ ΔAIC 4. By S-A-S congruence test