Use the following ( a,b and c are the lengths of the 3 sides with a the longest side):-
If its acute then a^2 < b^2 + c^2
If the lines with those given slopes go trough 2 points then
A) is correct if the points are (6, 0) and (0, 3)
B) is correct if the points are (0, 0) and (-6, 3)
C) is correct if the points are (-6, 0) and (0, 3)
Answer:
42 student tickets and 98 adult tickets
Step-by-step explanation:
Let's call the number of student tickets 's' and the number of adult tickets 'a'.
Then, we can write the two equations below:
5s + 8a = 994
a = 2s + 14
Using the value of 'a' from the second equation in the first one, we have:
5s + 8*(2s + 14) = 994
5s + 16s + 112 = 994
21s = 882
s = 42
Now, finding the value of 'a', we have:
a = 2*42 + 14 = 98
Answer:
0.49
Explanation:
Given the expression:
tan 26°
Evaluating using calculator
tan 26° = 0.4877
Hence the decimal rounded to the nearest hundredth is 0.49
Answer: 248mL
Step-by-step explanation:
Given:
Concentration of buffer solution Cs = 1.24%w/v of boric acid
Concentration of boric acid solution Cb = 5 % w/v boric acid
For 1 liter of buffer solution, the weight of boric acid needed is:
mb = 1 × 1.24 = 1.24 unit weight
mb = Cb × Vb .....1
Cb = concentration of boric acid solution.
Vb = volume of boric acid solution needed.
mb = weight of boric acid needed.
From equation 1.
Vb = mb/Cb
Vb = 1.24/5
Vb = 0.248L
Vb = 248mL
