Answer:
Height of cylinder (h) = (4/3)R
Step-by-step explanation:
Given:
Radius of cylinder (r1) = R
Height of cylinder (h) = H
Radius of sphere (r2) = R
Volume of cylinder = volume of sphere
Find:
Height of cylinder (h) = H = ?
Computation:

Height of cylinder (h) = (4/3)R
Answer:
<em>The total amount of tax paid for the land was $126</em>
Step-by-step explanation:
<u>Proportions</u>
The land tax charged is 0.7 per each $100 of the land value. For easy calculations, we find the ratio or proportion to be applied to the value of the land as:
0.7 / 100 =0.007
This factor can be used to obtain the tax charged for a given value of the land.
The plot of land of the question is valued at $18,000.
The tax charged is, then:
0.007*18,000 = 126
The total amount of tax paid for the land was $126
Answer:
136+ m ≥ 189 is the required inequality : m: The earning in 4th week
Arthur needs to earn AT LEAST $53 in the fourth week to buy the coat which costs at least $189.
Step-by-step explanation:
The amount earned by Arthur in first 3 weeks = $136
The amount needed to buy a coat = AT LEAST $189
Let us assume the amount Arthur needs to earn more to buy coat = $m
⇒ $ 136 + Amount Earned in 4th week ≥ $189
⇒ 136+ m ≥ 189
The above equation is the NEEDED inequality of the given situation.
Now, solving for the value of m, we get:
136+ m ≥ 189
⇒ m ≥ 189 - 136 = 53
or, m ≥ $53
Hence, Arthur needs to earn AT LEAST $53 in the fourth week to buy the coat which costs at least 189.
Answer:
x=83º
Step-by-step explanation:
The interior angle sum of a Hexagon is 720º
146+169+59+129+134+x=720
x=720-637
x=83
Answer:
6
Step-by-step explanation:
Multiply 7x+3 by 2. When you get 14x+6, set equal to 90 and solve for x.