Imelda, Susan, and Clara are driving go-carts around a track. Imelda takes 14 minutes, Susan takes 18 minutes, and Clara takes 1
1 answer:
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Answer:
<em>24 minutes</em>
<em></em>
Step-by-step explanation:
Given:
Distance per lap = 2 miles
Speed of Lou Lambert = 160 miles/hr
Speed of Ralph Redding = 170 miles/hr
Speed difference between the two = 170 - 160 = 10 miles/hr
Therefore, we can say that <em>Ralph gains 10 miles in 60 minutes </em>over Lou<em>.</em>
We have to find the time in which Ralph will gain 2 laps i.e. 2 2 = 4 miles.
Let us use unitary method to find the required time.
10 miles are gained by Ralph in 60 minutes
1 mile will be gained in
4 miles will be gained in 6 4 = <em>24 minutes</em>
Answer:
(5, -1)
Step-by-step explanation:
The three coordinates of a triangle are given as:
(5,3), (-5,3), (-5,-1).
To find:
The missing vertex = ?
Solution:
Let us label the vertices:
A (5,3),
B(-5,3),
C(-5,-1).
Let the missing vertex be ().
Let us recall the properties of a rectangle.
The <em>opposite sides</em> of the rectangle are equal and parallel to each other.
Let us consider the side AB, we can see that only x coordinate is changed from A to B.
Let us consider the side BC, we can see that only y coordinate is changed from B to C.
A and B are adjacent vertices.
Similarly the opposite vertices will be C and D.
Same pattern will be followed in CD as that of AB.
x coordinate will be changed by same difference as that of AB.
Change in x coordinate from D to C =
Change in x coordinate from A to B =
Equating them:
Same pattern is followed in BC and AD.
Their change in y coordinate will be same.
Missing vertex is <em>(5, -1)</em>.
Please refer to the attached image for the rectangle.
