Answer:
120
Step-by-step explanation:
As x goes from 1 to 2, y increases by 4 from 4 to 8
As x goes from 2 to 3, y increases by 4 from 8 to 12
We increase by 4 each time
The formula for an arithmetic sequence is
an = a1+d(n-1)
where a1 is the first term which is 4
d is the common difference or the number we add each time which is 4
n is the term we are looking for which is 30
a30 = 4 +4 (30-1)
a30 = 4+4(29)
= 4+116
= 120
Answer: 3234 cubic units
Step-by-step explanation:
Volume of cylinder: πr²h
The diameter of the cylinder is 14 units so the radius is 7 units.
Now we'll substitute.
π = 22/7
h = 21
πr²h
π × 7² × 21
22/7 × 49 × 21 = 3,234
The volume is 3,234 cubic units.
Answer: 9
Step-by-step explanation:
A=(a+b)/2 *h
135= 30/2* h
135= 15 * h
135/15= h
9=h
Answer:
-12
Step-by-step explanation:
Since we can subtract 12 from -2 and get -14, we might try subtracting 12.
Answer:
Proof with Statement and Reason is below.
Step-by-step explanation:
Given:
In The Figure
BF ⊥ AC,CE ⊥ AB
To Prove:
Δ ACE ≅ Δ ABF
Proof:
In Δ ACE and Δ ABF
STATEMENT REASONS
1. BF ⊥ AC,CE ⊥ AB Given
2. m∠ BFA = 90°,m∠ CEA = 90° { Perpendicular Lines BF ⊥ AC,CE ⊥ AB }
3. AE = FA Given
4. m∠ A = m∠ A {Reflexive property}
5. Δ ACE ≅ Δ ABF By AAS Congruence Postulate
