Answer:
Length short if I walk diagonally across the park rather than along two sides of it = 1 mile
Step-by-step explanation:
Given:
Shape of park is a rectangle
Length of park =2 miles
Width of park = 1.5 miles
Walking path is diagonally across the park.
So, we need to find length of diagonal of the park.
The diagonal of a rectangle cuts the rectangle into two right triangles as all angles of a rectangle is at right angles. So, we can apply Pythagorean theorem to find the diagonal of the rectangle.
Applying Pythagorean theorem [ ]
For the rectangle,
where represents length of diagonal
represents length of park
represents width of park
Substituting values.
Taking square root both sides to find .
miles.
So, length of my walk = 2.5 miles
Length along two sides of the park = miles
Length short if I walk diagonally across the park rather than along two sides of it = mile (Answer)
Answer:length of wire = 116 ft
Explanation:The attached image shows a diagram on the scenario given.
Now, we can note that the string forms a right-angled triangle with the tower and the ground. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
Now, from the given, we can find that:
θ = 34°
opposite is the tower = 65 ft
hypotenuse is the string length that we want to find
Substitute with the givens in the sin function to get the length of string as follows:
sin (34) = 65 / string
string = 65 / sin(34)
string = 116.2 which is approximately 116 ft
Hope this helps :)
Answer:
Sum of the interior angles of a polygon
Step-by-step explanation:
When given a convex polygon with a number of sides (n), we use the formula S = 180(n - 2) to find the sum of the measure of the interior angles.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
A.) f(x)=1/3x + 1 and g(x)=1/3(6x)+1
Step-by-step explanation:
because firs you see the graph of intercepts or vertex.
see y-intercepts : our graph crosses though 1
the first choice crosses at 1 both f(x) & g(x)
the second choice crosses at 1 both f(x) & g(x)
the third choice crosses at -8 both f(x) & g(x) so this can't be answer.
the forth choice crosses at 1 both f(x) & g(x)
see x-intercept : f(x) crosses -3 and g(x) crosses at approximately -1/2
the first choice crosses at -3 at f(x) & - 1/2g(x)
the second choice crosses at -1/2 at f(x) & - 1/6g(x)
the third choice crosses at 8/3 at f(x) & 8/15g(x)
the forth choice crosses at -3 at f(x) & - 3/4(x)
the graph seems crosses at 1/2 at g(x).
so the answer if the first choice.
The answer is the second option, 2x-3y<7