Penny needs 30 cubic ft of sand to fill a sandbox. She plans to buy 10 bags of sand for her sandbox. Each bag contains 2.9 cubic
1 answer:
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Answer:
The correct option is the second option;
a. Division property of equality
b. Symmetric property of congruency
c. Multiplication property of equality
Step-by-step explanation:
a. For the equation in part a., we have;
6·a = 30
Therefore;
6·a/6 = 30/6
a = 5
Which is of the form, if a = b then a ÷ c = b ÷ c, which is the division property of equality
b. For the relationship in part b., we have;
∠ABC ≅ ∠LMN
∠LMN ≅ ∠ABC
The above relationship is of the form, if a ≅ b then b ≅ a, which is the symmetric property of congruency
c. For the equation in part c., we have;
Multiply both sides by 3, to get;
Cancel like terms on the left hand side of the equation, to get;
2·(x - 6) = 24
Which is of the form, if a = c, then a × c = b × c which is the multiplication property of equality
Answer:
0.0221 feet per minute.
Step-by-step explanation:
If the Base Diameter = Height of the Cone
The radius of the Cone = h/2
Therefore,
Rate of Change of the Volume,
Since gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. Therefore, the Volume of the cone is increasing at a rate of 10 cubic feet per minute.
We want to determine how fast is the height of the pile is increasing when the pile is 24 feet high.
We have:
When the pile is 24 feet high, the height of the pile is increasing at a rate of 0.0221 feet per minute.