A car manufacturer advertises that its new sports car has a turning radius of only 16 feet. The front tires are 4.5 feet apart.
The path of the inside and outside tires is shown in the diagram. Compare the distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle.
2 answers:
Answer:
Solution given:
radius of small circle[r]=16-4.5ft=11.5ft
radius of large circle[R]=16ft
nowcircumference of small circle=2πr=2*3.14*11.5=72.22ft
circumference of large circle=2πR=2*3.14*16=100.48ft
distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle
=
ratio is <u>32:23.</u>
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Answer:
There are two possible solutions for the other two vertices of the rectangle:
(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)
Step-by-step explanation:
Geometrically speaking, the perimeter of a rectangle () is:
(1)
Where:
- Base of the rectangle.
- Height of the rectangle.
Let suppose that the base of the rectangle is the line segment between (4, -3) and (-1, -3). The length of the base is calculated by Pythagorean Theorem:
If we know that and
, then the height of the rectangle is:
There are two possible solutions for the other two vertices of the rectangle:
(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)
Answer:
C.Quadrilateral ABCD is not a rhombus because there are no pairs of parallel sides.
Complete question:
A. Quadrilateral ABCD is not a rhombus because opposite sides are parallel but the four sides do not all have the same length.
B. Quadrilateral ABCD is a rhombus because opposite sides are parallel and all four sides have the same length.
C. Quadrilateral ABCD is not a rhombus because there are no pairs of parallel sides.
D. Quadrilateral ABCD is not a rhombus because there is only one pair of opposite sides that are parallel.
Step-by-step explanation:
Rhombus states that a parallelogram with four equal sides and sometimes one with no right angle.
Given: The coordinate of the vertices of quadrilateral ABCD are A(−6, 3) , B(−1, 5) , C(3, 1) , and D(−2, −2) .
The condition for the segment to be parallel to
is matching slopes;
---->1
So, we have to check that AB || CD and AD || BC
First check AB || CD
A(−6, 3) , B(−1, 5) , C(3, 1) , and D(−2, −2)
substitute in [1],
-10 ≠ -15
Similarly,
check AD || BC
A(−6, 3) , D(−2, −2) , B(−1, 5) and C(3, 1)
Substitute in [1], we have
-20 ≠ -16.
Both pairs of sides are not parallel,
therefore, Quadrilateral ABCD is not a rhombus because there are no pairs of parallel sides.