Answer: 15.3 miles
Step-by-step explanation:
From the question, we are informed that Martin would like to start training to run a marathon and that first week he runs a total of 15 miles.
We are further told that he would like to run 0.3 more miles each week than the week before. There, the number of miles that Martin will run the second week will be:
= 15 miles + 0.3 miles
= 15.3 miles
Answer:
Maximum area possible
f(max) = 3906,25 ft²
Dimensions:
a = 62,5 ft
w = 62,5 ft
Step-by-step explanation:
Perimeter of the rectangular fencing P = 250 feet
And sides of the rectangle a and w (width of rectangle)
Then
A = a*w
2a + 2w = 250 ⇒ a = (250 -2w)/ 2 ⇒ a = 125 - w
f(w) = (125 - w ) *w f(w) = 125w - w²
Taking derivatives both sides of the equation
f´(w) = 125 - 2w f´(w) = 0 125 - 2w = 0
w = 125/2
w = 62,5 ft ⇒ a = 125 - 62,5
a = 62,5 ft
f(max) = ( 62,5)²
f(max) = 3906,25 ft²
<h3>
Answer:</h3>
The transformation is a rotation.
<h3>
Step-by-step explanation:</h3>
The incorrect answers can be ruled out as follows:
- dilation would change the size, but not the directions of the lines
- reflection would change the DEF ordering from clockwise to counterclockwise
- translation would move the figure, but not change the directions of the lines
The image is the same size as the original. Each of the sides of the triangle is moved through the same angle. The transformation is a rotataion.
The center of rotation can be found as the point of intersection of the perpendicular bisectors of DD', EE' and FF'
Answer:
True, r represents the distance from a point to the pole when plotting that point in polar coordinates.
Step-by-step explanation:
Given: The statement '' The value of r represents the distance from a point to the pole when plotting that point in polar coordinates ''
To state: whether the given statement is true or false
Solution:
In the cartesian coordinate system, any point is represented by the coordinates 
In polar-coordinates system, distance of the point from the origin (pole)(r) and the angle 
that the line joining the point to the origin makes with the positive x
-axis are used as polar coordinates. Polar coordinates are of form 
True, r represents the distance from a point to the pole when plotting that point in polar coordinates.
Answer:
Your answer is D.
Step-by-step explanation:
Although A and C are also correct, according to a graph using the free online program Desmos
