R(t) = 4t
A(r) = π(r^2)
a) A(t) = A[r(t)] = π[r(t)]^2 = π[4t]^2 = 16π(t^2)
b) t = 4,
A(4) = 16*3.14*(16)^2 = 12,861.44
Answer:
32 units
Step-by-step explanation:
∠LON = 2(∠LMN) = 2(60°) = 120°
120°/360° = 1/3
length of minor arc LN = (1/3)(96) = 32 units
Answer:
Step-by-step explanation:
3. The tree increased in height each month until the time period between month 9 and month 11.
Step-by-step explanation:
We have been given a table that shows the height of the tree that Margo planted over an 11-month period.
Let us see which of the given statement can be supported by the information in the table.
1. The tree increased in height each month during the entire 11-month period.
We can see from our table of data that Margo's tree increased till 9 months and its height decreased between 9 to 11 months from 3 feet to 1.8 feet, therefore, first statement is not true.
2. The tree decreased in height each month during the entire 11-month period.
We can see from our table that height of Margo's tree increased till 9 months from 1.4 feet to 3 feet and its height decreased between 9 to 11 months from 3 feet to 1.8 feet, therefore, second statement is not true.
3. The tree increased in height each month until the time period between month 9 and month 11.
We can see that height of tree increased for 9 months (1.4 ft to 3 ft) and between 9 to 11 months height decreased (3 ft to 1.8 ft), therefore, our 3rd statement is true and the information given in the table is supporting this statement.
4. The tree decreased in height each month until the time period between month 9 and month 11.
We have seen that the tree increased in height each month until the time period between month 9 and month 11, therefore, our 4th statement is not true.
i hope this helps
Answer:
21
Step-by-step explanation:
inverse means opposite so it's a positive
Answer:
Step-by-step explanation:
According to the diagram we observe:
- ∠ACD is the exterior angle of triangle ABC.
As we know the exterior angle is same as the some of the remote interior angles.
It can be shown as:
Substitute the values and solve for x:
- 5x - 18 = 3x - 2 + x + 14
- 5x - 18 = 4x + 12
- 5x - 4x = 12 + 18
- x = 30
Find the measure of m∠ABC:
The matching <u>answer</u> choice is D.
