Answer:
The correct option is;
D. -8·t² + 18·t + 6 = 10
Step-by-step explanation:
The given equation of the height toy cannon launched on top of a platform is given as follows;
h(t) = -8·t² + 18·t + 6...(1)
Where "h" represents the height in meters, at time "t" seconds after the ball is launched
When the height is 10 meters, we can write as follows;
The height of the ball, h(t) = 10
Therefore, by substituting the value of h(t) in equation (1), h(t) = -8·t² + 18·t + 6, when h(t) = 10 we get;
-8·t² + 18·t + 6 = 10.
Answer: The filled out table is shown below
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Explanation:
We have three variables p,q, and r. So we'll have 2^3 = 8 different rows as this table indicates. The 8 rows is to ensure that we handle all possible T/F values for the three variables.
This is where things could get tricky, but I recommend listing four copies of T in the first column, and then four copies of F right below it. That takes care of column p. For column q, we'll have two copies of TTFF to get 8 values total. Then finally column r will have four copies of T,F repeated. This takes care of all possible combos to help fill out the rest of the table.
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For the column labeled ~p, we'll basically flip everything you see in column p. If something is true, then flip it to false, or vice versa. This is the negation of p. The same will go for the ~r column as well.
For the ~p v q column, we'll do a disjunction between ~p and q. A disjunction is only false when both pieces are false; otherwise it's true. So ~p v q is only false when both ~p and q are together false. The v symbol stands for "or".
The last column is doing a conjunction between the (~p v q) column and the ~r column. A conjunction is only true when both pieces are true; otherwise it's false. It's effectively the reverse of a disjunction. The upside down v symbol stands for "and".
Again the filled out table is shown below. It might help to use a piece of paper to cover up some of the rows if things get too cluttered.
I think the answer is 35.28 square units. Because triangle ABC is 1/2 of triangle XYZ, the height must be halved. So, 3.36/2 is 1.68. Now, you times 42 by 1.68 to get 70.56. Then, divide that by 2 to get 35.28
Hi Lindsay882,
Your Question:
Use the conditional statement to answer the question.
If an angle measures 43°, then the angle is acute.
Are the statement and its inverse true?
Both the statement and its inverse are false.
The statement is true, but the inverse is false.
The statement is false, but the inverse is true.
Both the statement and its inverse are true.
Solution:
Any angle below 90 degrees is acute.
Any angle higher than 90 degrees its obtuse.
Answer:
43 degrees = acute angle
D. Both the statement and its inverse are true.
Answer:
b
Step-by-step explanation: