Answer: the speed of the current is 9 mph.
Step-by-step explanation:
Let x represent the speed of the current.
A boat can travel 21 mph in still water. If it travels 270 miles with the current. It means that the total speed with which the boat travelled with the current is (21 + x) mph.
Time = distance/speed
Time spent by the boat in travelling 270 miles is
270/(21 + x)
In the same length of time, it travels 108 miles against the current. It means that the total speed with which the boat travelled against the current is (21 - x) mph.
Time = distance/speed
Time spent by the boat in travelling 108 miles is
108/(21 - x)
Since the time is the same, then
270/(21 + x) = 108/(21 - x)
270(21 - x) = 108(21 + x)
5670 - 270x = 2268 - 108x
108x + 270x = 5670 - 2268
378x = 3402
x = 3402/378
x = 9
Answer:
The correct answer is option B.
m<3 = m<6
Step-by-step explanation:
From the figure we an see that, a and b are parallel lines and line t is the traversal on the lines.
<u>To find the correct option</u>
From the given figure we get
Corresponding angles are,
<1 & <5, <2&<6, <2&<7 and <4 &<8
Alternate interior angles are,
<3 & <6 and <4 &<5
Alternate interior angles are equal.
m<3 = m<6
Therefore the correct answer is optionB
Answer:
∠B = 62°
Step-by-step explanation:
Because ∠A and ∠B are vertical angles they are equal hence we can write
∠A = ∠B
8x + 14 = 2x + 50
Now we have to solve for x
To do so, subtract 2x on both sides of the equation:
6x + 14 = 50
Now, subtract 14 on both sides of the equation
6x = 36
Now, divide 6 on both sides of the equation
x = 6
To find m∠B you have to you have to plug in x = 6 back into the ∠B equation
∠B = 2(6) + 50
∠B = 62°
Answer:
14
Step-by-step explanation:
Let's find (f-g)(x)
Now let's plug in x=2, so to find (f-g)(2)
Answer:
6 feet
Step-by-step explanation:
cos = adj/hyp
cos76 = adj/24
multiply both sides by 24
24 * cos76 = adj
5.806125494392025 = adj
Rounded
6 feet
