Answer:
a. Emily should begin her turn as the third driver at point (1, -0.5).
b. Emily's turn to drive end at point (-2.5, -3.75).
Step-by-step explanation:
Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:
Hometown
San Antonio
Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:
Steph
(1)
Andra
(2)
Emily
(3)
a. <em>If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver? </em>
Emily's beginning point is the Andra's stop point, that is, .
Emily should begin her turn as the third driver at point (1, -0.5).
b. <em>At what point does Emily's turn to drive end?</em>
Emily's turn to drive end at point (-2.5, -3.75).
Answer:
48 in
Step-by-step explanation:
The diagonal of the inscribed square equals the diameter of the circle.
1. Calculate the diagonal of the square
d = 2r = 2 × 6√2 in =12√2 in
2. Calculate the side of the square
∆ACB is an isosceles right triangle.
We can use Pythagoras' Theorem to calculate the length of a side s.
3. Calculate the perimeter of the square
P = 4s = 4 × 12 in = 48 in
The perimeter of the square is 48 in.
Line r is parallel because they don’t intersect
Answer:
947.131
Step-by-step explanation:
2.14 * 3 / 49 + 947
Order Of Operations
PEMDAS(Please Excuse My Dear Aunt Sally)
Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction
From left to right
Multiply 2.14 by 3
6.42 / 49 + 947
Divide 6.42 by 49 estimated to the nearest thousandth
0.131 + 947
Add
947.131
6*9)/2 = 27.
1/2 base * height is the area of a triangle.