Answer: ZB = 48 degree
Explanation:
Complementary angle means 2 angel add together and create a right angle (90 degree).
Thus, ZA + ZB = 90 degree
But ZA = 42 degree
=> 42 degree + ZB = 90 degree
=> ZB = (90 - 42)degree
=> ZB = 48 degree
Answer:
The vertex of this parabola, 
, can be found by completing the square.
Step-by-step explanation:
The goal is to express this parabola in its vertex form:
,
where 
, 
, and 
are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at 
.
The vertex form can be expanded to obtain:
.
Compare that expression with the given equation of this parabola. The constant term, the coefficient for 
, and the coefficient for 
should all match accordingly. That is:
.
The first equation implies that is equal to 
. Hence, replace the "
" in the second equation with 
to eliminate 
:
.
.
Similarly, replace the "" and the "" in the third equation with and 
, respectively:
.
.
Therefore, 
would be equivalent to 
. The vertex of this parabola would thus be:
.
2/3 of 30 9/10 = (30*10 + 9)/10 = 309/10 kilograms of glass is blue or there are:
(2/3)(309/10) = (2*309)/(3*10) = (2*103)/10 = 206/10 = 10.6 kg of blue glass.
C=4
This is the answer to the equation
Answer:
Use trigonometric ratio
Step-by-step explanation:
Since it is one side and angle of the triangle that is given, it is assumed that the triangle is a right-angled triangle
To solve for one of the two unknown lengths, use trigonometric ratio
There are 3 basic trigonometric ratio namely Sine (sin), Cosine (cos) and Tangent (tan)
Sine of the angle given = opposite side ÷ hypotenuse side
Cosine of the angle given = adjacent side ÷ hypotenuse side
Tangent of the angle given = opposite side ÷ adjacent side
Assuming the length given is the hypotenuse side and the angle is inclined to the horizontal
To find the opposite side of the triangle, multiply the hypotenuse side by the sine of the angle given
