Answer:
x is any number less than -64; i.e. -66
Step-by-step explanation:
Inequality
3x + 23y - 15 < 0
where point (x,9) satisfies this
Substitute 9 for y
3x + 23(9) - 15 < 0
3x + 207 - 15 < 0
3x + 192 < 0 Take away 192 from both sides
3x < -192 Divide both sides by 3 to isolate x
x < -64
Check:
3(-64) + 23(9) -15 < 0
-192 + 207 - 15 < 0
-192 + 192 < 0
Therefore x must be less that -64 to satisfy the point (x, 9) in this inequality.
AD BC are parallel because the lines are equal
Answer:
<u>65.4 cubic inches</u>
Step-by-step explanation:
Formula for the volume of a cone :
<u><em>Volume (cone) = 1/3πr²h</em></u>
<u><em /></u>
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Given :
⇒ diameter = 5 in. → radius = <u>2.5 in.</u>
⇒ height = <u>10 in.</u>
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Solving :
⇒ Volume (cone) = 1/3 × π × (2.5)² × 10
⇒ Volume (cone) = 62.5π/3
⇒ Volume (cone) = <u>65.4 cubic inches</u>
Answer:
3
Step-by-step explanation:
