Step-by-step explanation:
everything can be found in the picture
Answer:
$78
Step-by-step explanation:
$65 x 1.20 = $78
or
$65 x 0.20 = $13
$65 + $13 = $78
The value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
<h3>What are the trigonometric ratios?</h3>
Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle. The value of tangent of angle is equal to the ratio of sine of that angle to the cosine of that angle.
Here, θ is the angle.
The value of angle given in the problem are,
- Cosine a = 0.352
- Sine a = 0.936.
Put these values in the above fromula as,
Hence, the value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
Learn more about the trigonometric ratios here;
brainly.com/question/24349828
Answer:
(–2.2, –1.2)
Step-by-step explanation:
o divide the segment into a 3:2 ratio, we need to divide the segment into five identical parts, and find the point that divides the segment into 3/5 and 2/5. To do this we have to calculate the distance between the two points of the segment, in x and y, we can do this by just subtracting the two "y" coordinates and the two "x" coordinates:
Δy=║-4-3║=7
Δx=║-1-(-4)║=3
Then we divide those differences by 5.
7/5=1.4
3/5=0.6
and now, we multiply those results by 3 and subtract them or add them from the coordinates of the point G (subtract them from the coordinate y and add it to the coordinate x, because we are moving down and right).
Px=-4+3*0.6=-2.2
Py=3-3*1.4=-1.2
so the coordinates of the point we are looking for (which I called "P") are:
P(-2.2, -1.2).
point 1 = ( -1 , 5 ) point 2 = ( 5 , -5 )
equation of a line: y = mx + b
Find Slope (m):
( 5 - (-5)) / (-1 - 5))
= 10 / -6
= -3 / 2
slope = -3/2
Find y-intercept (b):
y = mx + b
y = -3/2 * x + b
5 = -3/2 * -1 + b <-------------- use the x and y coordinate of one of the . points. I used point 1 ( -1 , 5 )
b = 7/2 or 3.5
Assemble:
y = -3/2 * x + 3.5