Don’t mind my hand writing
If t8 = 4 and t12 = −2, find the first three terms of the arithmetic sequence.
1 answer:
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Answer:
Given :
ABC is a right triangle in which ∠ABC = 90°,
Also, Legs AB and CB are extended past point B to points D and E,
Such that,
To prove :
Proof :
In triangles AEC and EBA,
∠EAC= ∠ABE ( right angles )
∠CEA = ∠AEB ( common angles )
By AA similarity postulate,
,
Similarly,
Now, In triangles ADC and CBD,
∠ACD = ∠CBD ( right angles )
∠ADC= ∠BDC ( common angles )
By AA similarity postulate,
,
Similarly,
From equations (1) and (2),
The corresponding sides of similar triangles are in same proportion,
Hence, proved....
Answer:
1177.5 inches
Step-by-step explanation:
Volume of a cylinder = , where h is the height
Radius = 10/2 = 5 radius is half the diameter
Height = 3*5 = 15 height is 3 times the radius
V = 3.14 * (5^2) * (15)
= 3.14 *25 * 15
= 1177.5