Slope-
m = 0.5
--
Midpoint-
(-0.5, -3)
--
Distance between two points-
4.47213595
--
Equation of the line-
y = 0.5x - 2.75
--
y intercept-
b = -2.75
--
Graph-
Answer:
A)
58/3 = 19.33 hours
B)
84.00 hours
C)
2074.29 miles
Step-by-step explanation:
Under the assumption the earth is a perfect circle, then in a complete rotation ( 24 hours) the earth will rotate through 360 degrees or 2π radians.
A)
In one day or 24 hours the earth rotates through 360 degrees. We are required to determine the duration it takes to rotate through 290 degrees. Let x be the duration it takes the earth to rotate through 290 degrees, then the following proportions hold;
(24/360) = (x/290)
solving for x;
x = (24/360) * 290 = 58/3 = 19.33 hours
B)
In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it will takes the Earth to rotate through 7π radians. Let x be the duration it takes the earth to rotate through 7π radians, then the following proportions hold;
(24/2π radians) = (x/7π radians)
Solving for x;
x = (24/2π radians)*7π radians = 84 hours
C)
If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;
circumference = 2*π*R = π*D
= 7920*3.142
= 24891.43 miles
Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;
(24891.43miles)/(24 hours) = 1037.14 miles/hr
The distance covered by the point in 2 hours will thus be;
1037.14 * 2 = 2074.29 miles
Answer:
y = -4x + 8
Step-by-step explanation:
The equation of a line is written in slope-intercept form : y = mx+b
m is the slope
We are given two points, so let's find the slope of the line first:
Slope = ΔY/ΔX = 4 - (-4) / 1 - 3 = 8 / -2 = -4
The slope is -4
So far, our equation is y = -4x + b
We can input a point's x and y value to find b, the y-intercept
Let's use point (1, 4)
4 = -4(1) + b
4 = -4 + b
b = 4 + 4
b = 8
The equation is y = -4x + 8
-Chetan K
Answer:
6
Step-by-step explanation:
Answer:
7.1 (7.06 rounded to the tenth)
Step-by-step explanation:
The formula for Area of a Circle is: π·r²
R = Radius
π = pi, or 3.14
As long as you know the formula, this is easy!
In class, you may have already been told that the radius is <em>half </em>of the diameter.
1. Half of 3 ft is 1.5 ft.
2. Plug 1.5 in for r, in your calculator
3. Do the calculation, and you should come out to get 7.06858347058
4. Round it!
Finding area for a circle is satisfying, isn't it? xD
