Answer:
The equation is y = 4x + 5
Step-by-step explanation:
To find the equation to this table, pick two ordered pairs and use the slope formula to find the slope. For this we'll use (4, 21) and (8, 37).
m(slope) = (y2 - y1)/(x2 - x1)
m = (37 - 21)(8 - 4)
m = 16/4
m = 4
Now we can use that slope along with any point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 21 = 4(x - 4)
y - 21 = 4x - 16
y = 4x + 5
Step-by-step explanation:
We have,
Diameter of cylinder, d = 39.2 mm
Radius, r = 19.6 cm
Height of the cylinder, h = 39.2 mm
It is required to find the surface area of this cylinder. The formula of the surface area of cylinder is given by :

Putting all values we get :

Observe attached picture.
On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft
When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.
We can apply trigonometry rules to find height of flagpole.
From small triangle containing sign we can find tangens function:

Similarly we can do for large triangle containing flagpole:

We see that these two equations have same left sides. This means that their right sides must also be same:

We can solve for A:

Height of flagpole is 48 feet.
Answer:

Step-by-step explanation:
Since 1 hour contains 60 minutes, So 1 hour would by divided by 60
So, the required expression is,
=> 
Answer:
B- 17
Step-by-step explanation:
Add 8+9
= 17
17 units away.