Answer:
Choice A. 3.
Step-by-step explanation:
The triangle in question is a right triangle.
- The length of the hypotenuse (the side opposite to the right angle) is given.
- The measure of one of the acute angle is also given.
As a result, the length of both legs can be found directly using the sine function and the cosine function.
Let
denotes the length of the side opposite to the
acute angle, and
be the length of the side next to this
acute angle.
.
Similarly,
.
The longer leg in this case is the one adjacent to the
acute angle. The answer will be
.
There's a shortcut to the answer. Notice that
. The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the
angle will be the longer leg. There will be no need to find the length of the opposite leg.
Does this relationship
holds for all acute angles? (That is,
?) It turns out that:
To solve your X int you substitute 0 for y.
X int-
-5x+9(0)=-18
-5x=-18
X= 18/5 and the coordínate is (18/5,0)
Then to solve for y int you substitute 0 for x.
-5(0)+9y=-18
9y=-18
Y= -2 and the coordinate is (0,-2)
Answer: 77
Step-by-step explanation:
Answer:
60 liters
Step-by-step explanation:
360/12=30
30x2=60 liters
Hope this helps! :)
If the equation is -(2/3) x - (1/4) y = 1/3, it is a straight line, so you can use some special points to identify the graph.
It is easier is you solve the equation for y:
(1/4)y = - 1/3 - (2/3) x
y = (-4/3) - (8/3)x
That is the slope -y-intercept form of the equation.
That means that the slope is -8/3, and the y-intercept is -4/3.
Use this points to identify the graph:
x = 0 => y = - 4/3 ---> (0, - 4/3)
y = 0 => x = - 1/2 -----> (-1/2, 0)
Now you can punt those two points on the graph and draw the line that joins them.
With this procedure you can find the graph of any straight line.