Answer:
Theta = 0, 60 degrees.
Step-by-step explanation:
2 sin^2 theta + 3 cos theta = 3
Using the identity sin ^2 theta = 1 - cos^2 theta :
2(1 - cos^2 theta) + 3 cos theta = 3
2 - 2cos^2 theta) + 3 cos theta = 3
2 cos^2 theta - 3 cos theta + 3 - 2 = 0
2 cos^2 theta - 3 cos theta + 1 = 0
(2 cos theta - 1)(cos theta - 1) = 0
cos theta = 1/2 , cos theta = 1
Theta = 60 degrees or theta = 0
The absolute value for 2x+3=11 is x=4
Answer:
3/5
Step-by-step explanation:
Sine = opp/hypotenuse
The opposite of a is 3, and the hypotenuse is 5. Therefore, the sine is 3/5.
Hope this helps :)
Profit made by jeweler from buying and reselling ounces of gold is 140.89 per ounce
<u>Solution:</u>
Given that
Price at which jeweler buy gold = 1235.55 per ounce
Price at which jeweler resells gold = 1376.44 per ounce
We need to calculate profit.
Buying price of 1 ounce of gold = 1235.55
Reselling price of 1 ounce of gold = 1376.44
<em>Profit = Reselling price – buying price</em>
So profit on 1 ounce of gold = 1376.44 – 1235.55 = 140.89
Hence profit made by Buying and Selling gold will be 140.89 per ounce
Answer:
Step-by-step explanation:
When equal bases are multiplied, the powers add.
The bases of both expressions is x.
The powers are 5 and 7.
The answer is x^(5 + 7) = x^(12)
