Let x be the speed of the motorboat and y be the speed of the current.
Then, for downstream, the speed is x + y.
Now, speed = distance/time.
Distance = 80 miles.
Time for downstream = 4 hours.
So, x + y = 80/4 = 20 (1)
Against the current, that is for upstream, the speed is x - y.
Time for upstream = 5 hours.
x - y = 80/5 = 16 (2)
Adding (1) and (2), we get,
2x = 36
x = 18
Hence, rate of the motorboat in calm water = 18 miles/hour.
Adjacent means next to or adjoining something else. therefore an adjacent angle to <DGE would be <HGJ
Step-by-step explanation:
Length of rectangle = 4 * 3.5cm = 14cm.
Perimeter of rectangle = 2(14 + 3.5) = 35cm.
Area of rectangle = 14 * 3.5 = 49cm².
Answer:
X=24, Y=7
Step-by-step explanation:
We use the concept of similarity.
By observing the figure, we notice that the hypotenuse is 50, and the hypotenuse of the smaller triangle is 25.
That means the hypotenuse of the larger triangle is double the hypotenuse of the smaller triangle. Meaning, the other sides of the larger triangle would be double the smaller sides of the smaller triangle.
We already have the sides of the larger triangle, divide them by two to get x and y.
X = 48/2 = 24
Y = 14/2 = 7
Answer:
(3, -1)
x is 3
y is -1
Step-by-step explanation:
Solving for x:
2x+y=5
<em>Subtract y from both sides</em>
2x= -y+5
<em>Subtract 5 from both sides</em>
2x-5= -y
<em>Multiply both sides by 4</em>
8x-20= -4y
5x+4y=11
<em>Subtract 4y from both sides</em>
5x= -4y+11
<em>Subtract 11 from both sides</em>
5x-11= -4y
<u>Combine equations:</u>
5x-11=8x-20
<em>Subtract 5x from both sides</em>
-11=3x-20
<em>Add 20 to both sides</em>
9=3x
3x=9
<em>Divide both sides by 3</em>
x=3
Solving for y:
2x+y=5
<em>Subtract y from both sides</em>
2x= -y+5
-y+5=2x
<em>Multiply both sides by 5</em>
-5y+25=10x
5x+4y=11
<em>Subtract 4y from both sides</em>
5x= -4y+11
-4y+11=5x
<em>Multiply both sides by 2</em>
-8y+22=10x
<u>Combine equations:</u>
-8y+22= -5y+25
<em>Add 8y to both sides</em>
22=3y+25
<em>Divide both sides by 25</em>
-3=3y
3y= -3
<em>Divide both sides by 3</em>
y= -1
