Answer:
y = (5/2)x + 4
Step-by-step explanation:
We'll look for an equation in the format y = mx + b, where mn is the slope and b the y-intercept (the value of y when x = 0).
y = mx + b
m is (5/2)
y = (5/2)x + b
We need a value of b that will force the line through point (-2,-1). Enter the point (-2,-1) in the equation and solve for b:
y = (5/2)x + b
-1 = (5/2)(-2) + b
-1 = -5 + b
b = 4
<u>The equation is y = (5/2)x + 4</u>
See attached image.
Answer:
Angle, θ = 0.20207 Radian or 11.58°
Step-by-step explanation:
Distance between Boston, Mass and Columbus, Ohio= 800 miles
We known that the radius of the earth= 3959 miles
We known that,
⇒Arc length = theta × radius of earth
⇒(800) miles = θ × (3959) miles
⇒
Therefore, θ = 0.20207 Radian
Now, converting this value in terms of degrees,
Answer:
101.1%
Step-by-step explanation:
The two batteries are in the shape of cylinder.
The total surface area of a cylinder
SA = (2πr^2 + 2πrh ) =
For AAA battery
h = 0.8mm
r = 1.9 mm
SA = (2π(1.9)^2 + 2π × 1.9 × 0.8 )
SA = 22.68 + 9.55
SA = 32.23 mm^2
For AA battery
h = 1 mm
r = 2.75 mm
SA = (2π(2.75)^2 + 2π×2.75× 1 )
SA = 47.52 + 17.28
SA = 64.80 mm^2
Increase in SA = 64.80 - 32.23
Increase in SA = 32.57
% increase = increase in SA/AAA × 100
% increase in SA = 32.57/32.23 × 100
% increase in SA = 101.1%
