Answer: The speed of rowing is 3.56 miles per hour and speed of current is 1.06 miles per hour.
Step-by-step explanation:
Since we have given that
Let the speed of boat in still water be 'x'.
Let the speed of current be 'y'.
Distance = 1 mile
For Upstream, speed would be
For downstream, speed would be
By graphing method we get that
x = 3.558 miles/hr
and y = 1.058 miles/hr
Hence, the speed of rowing is 3.56 miles per hour and speed of current is 1.06 miles per hour.
You have 2 right triangles here: the one created by Adrian and the one by Sofie. Let's do Adrian's first. If he is standing 12 feet from the the tree, that is the base leg of the triangle, and the vertical leg is the 5 foot tall tree. We need to find the other base angle in order to work this problem. Tan A = 5/12; tanA = .41666666; tan^-1(.416666)=22.6 degrees. Now use this degree measure and the sin ratio to find the length of the hypotenuse. sin(22.6)=5/x; x=5/sin(22.6); x=13.01. Do the same exact procedure for Sofie. Her base leg is 4 though. Tan A=5/4; tan A=1.25; tan^-1(1.25)=51.34. Now use the sin ratio to find the length of the hypotenuse. sin(51.34) = 5/x; x = 5/sin(51.34); x=6.4
Answer:
4%
Step-by-step explanation:
Formula for volume of a right rectangular prism is;
V = lwh
Where;
l is length
w is width
h is height
We are given l = 367; w = 24; h = 19
Thus;
Volume is;
V_full = 367 × 24 × 19
V_full = 167352 in³
We are told that Alex filled the aquarium with 6039 in³ of water.
Thus, percentage of the aquarium filled with water is;
(6039/167352) × 100% = 3.61%
Approximating to nearest percent gives; 4%
The length can be found using the Pythagorean Theorem...
c^2=a^2+b^2 and in this case:
d^2=(dx^2)+(dy^2)
d^2=(3-7)^2+(12-9)^2
d^2=-4^2+3^2
d^2=16+9
d^2=25
d=5
So the length of AB=5 units.
<u><em>Answer:</em></u>
<u><em>Explanation:</em></u>
We know that the initial value of a function is the output of the function when the input is zero.
In other words, it is the value of f(x) when x = 0
<u>Now, checking the given table, we can find that:</u>
at x = 0 ...............> f(x) =
<u>This means that</u> the output is when the input is zero which means that our initial value is
Hope this helps :)