now, the angle of θ, can only have a "y" value that is positive on, well, y is positive at 1st and 2nd quadrants
and "x" is positive only in 1st and 4th quadrants
now, that angle θ, can only have those two fellows, "y" and "x" to be positive, only in the 1st quadrant, and also both to be negative on the 3rd quadrant.
and that those two fellows, can also be both negative in the 3rd quadrant
3/1 = 3, and -3/-1 = 3
so, the solutions can only be "3", when both "y" and "x" are the same sign, and that only occurs on the 1st and 3rd quadrants
6 nickels is 30 cents and 30 cents is 3/10 of a dollar which is 30% of a dollar.
Answer:
-x - 3
Step-by-step explanation:
(3x - 4) - (4x - 1) =
The first set of parentheses is unnecessary, so you can just remove it.
= 3x - 4 - (4x - 1)
To remove the second set of parentheses, you must distribute the negative sign to its left by the terms inside the parentheses. To do this, change every sign inside the parentheses.
= 3x - 4 - 4x + 1
Now combine like terms. Terms with x are like terms and are combined together. Therms without x are like terms and are combined together.
= 3x - 4x - 4 + 1
= -x - 3
1 liter=.26 gallons so 20 liters= 20*.26= 5.2 gallons.
You need to use .75 ounces of soda ash per gallon so you must multiply .75 by 5.2.
.75*5.2 = 3.9 ounces
Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
First, we start with the vertical line h that divides y, that is <u>opposite to an angle of 30º, with hypotenuse 34</u>, hence:
sin(30º) = h/34
0.5 = h/34
h = 17.
Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:
x = 24.
y is divided into two segments.
- The first is the adjacent to the angle of 30º, while the hypotenuse is 34.
- The second is adjacent to the angle of 45º, while the hypotenuse is 24.
Then:
Then, the value of y is given by:
.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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