Okay so the equation given to you, tells you that the slope must be 4. The line must pass through the point (4,8). so, you have to put it into point-slope form in order to find your answer. the equation for point slope form is y-y1 =m(x-x1). in the equation, y1 and x1 are given in the point (4,8), so you point slope equation will be y-8=4(x-4). then you solve the equation. hope this helps! :)
Answer:
x = 182.53
Step-by-step explanation:
Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x
Let's solve.
✍️Finding the whole side length adjacent to 20°:
Opp = 87
Adjacent length = ? = a

Thus,

Plug in the values

Multiply both sides by a


Divide both sides by tan(20)



Finding the side length adjacent to 57°:
Opp = 87
Adjacent length = ? = b

Thus,

Plug in the values

Multiply both sides by b


Divide both sides by tan(57)



Therefore:
x = a - b
x = 239.03 - 56.50
x = 182.53
Answer: 1
B is the center of a circle of radius 1. A and C are on the circle 100 degrees apart. So arc AC is 100 degrees. Arc AC the long way around is 360-100=260 degrees. That means any point D on arc AC will subtend a 130 degree angle. BD is a radius for all of those, and the radius is 1.
The speed of a boat in still water (b) is 50km/h. It takes the same time (t) for the boat to travel 10km (x) upstream as it does to travel 20km (y) downstream. Find the speed of the current.
upstream speed (u) = speed in still water (b) - stream speed (s) = b-s = 50-s
downstream speed (d) = speed in still water (b) + stream speed (s) = 50+s
time (t) = x/u = y/d
10/(50-s) = 20/(50+s)
10(50+s) = 20(50-s)
500 + 10s = 1000 - 20s
30s = 500
stream speed (s) = 500/30 = 16.6 km/h
Answer:
tan 60 = opp/adj = a/10
a = 10×tan60 = (10 yd)×[(√3/2)/(1/2)]
= 17.3 yd
= 10√3 yd