Answer:
180 miles
Step-by-step explanation:
Going North
<em><u>Formula</u></em>
d = r * t
<em><u>Givens</u></em>
r = 60 mph
t = 5.2 hours
d = ?
<em><u>Solution</u></em>
d = 5.2 * 60 = 312 miles north
Going South
<em><u>Givens</u></em>
r = 55 mph
t = 2.4 hours
<em><u>Solution</u></em>
d = r * t
d = 55 * 2.4
d = 132
Distance from home
Formula: Distance from home = Distance North - Distance South
Distance North = 312 - 132 = 180 miles
Given :
Area of rectangle.
To Find :
The dimensions of a rectangle (in m) with area 1,728 m2 whose perimeter is as small as possible.
Solution :
Let, the dimensions of rectangle is x and y.
Area, A = xy.
x = A/y. ....1)
Perimeter, P = 2( x + y )
Putting value of x in above equation, we get :
For minimum P,
SO, it is a square.
Therefore, the dimensions are .24\sqrt{3}
Hence, this is the required solution.
Answer:
$90.
Step-by-step explanation:
We have been given that Philip is going on a 4000 kilometer road trip with three friends. The car consumes 6 liters of gas per 100 kilometers.
Let us find how many liters the car will consume per kilometer.
Now let us find total consumption of gas for the whole trip.
Now let us find total cost of gas for whole trip by multiplying the number of liters gas consumed in whole trip by cost of one liter of gas.
Philip and his 3 friends has gone for the road trip, so the total number of people gone for road trip will be 4.
Therefore, each person will have to pay $90 to split the cost of gas evenly.
The vertices of triangle QRS have coordinates Q(1, −2), R(3, −2), and S(2, −4). The coordinates are the coordinates of the vertices of triangle QꞌRꞌSꞌ when triangle QRS is reflected across the x-axis <span>Qꞌ(1, 2), Rꞌ(3, 2), Sꞌ(2, 4). The answer is letter B.</span>