Answer: 6 x 6 is 6 squared (6^2)
Explanation:
Any number multiplied by itself is squared. (ie. 36 x 36 is 36 ^ 2, 2 x 2 is 2^2 etc)
Hope this helps!! :)
Answer: he collected 22 quarters and 8 fifty-cent pieces
Step-by-step explanation:
Given;
The total amount of money he is to collect is;
A = 20 - 10.50 = $9.50
Let x represent the number of quarter he collected.
Then the number of fifty-cent pieces he collected will be; 30-x
Therefore we can represent it with the equation below;
0.25x + 0.50(30-x) = 9.50
0.25x + 15 - 0.50x = 9.50
0.25x = 15-9.50
x = (15-9.50)/0.25
x = 5.50/0.25
x = 22
The number of fifty-cent is equal to;
30-x = 30-22 = 8
Therefore, he collected 22 quarters and 8 fifty-cent pieces
Answer:
2√5
cos x = -------------
5
Step-by-step explanation:
If tan x = 1/2 then what is cos x?
Recall that tan x is defined as the quotient sin x / cos x, so that in this case sin x / cos x = 1 / 2 = opp side / adjacent side. Also, recall that cos x = adj side / hypotenuse.
To determine cos x, we need to find the length of the hypotenuse. That, in turn, through use of the Pythagorean Theorem, is √(1^2+2^2), or √5.
Then cos x = adj side / hyp = 2/√5. Rationalizing the denominator, we get
2√5
cos x = -------------
5
