the correct answer is:
Carlos could have written 0.333, 0.334, and 0.3335.
side notes:
hope this helps or is correct!
Answer: length of DE is about 3.3 ft
Step-by-step explanation: A calculator is necessary!
DE is the unknown hypotenuse of the triangle
get the sine of 23° = 0.3907311285
Use the equation for sine
<em>sin = o/h</em> .
To find h, Substitute values for sin and o. O is EC, Opposite the 23° angle D
<em>0.3907311285 = 1.3/h</em> multiply both sides by h
h(0.3907311285) = 1.3 divide both sides by 0.3907311285
h = 1.3/0.3907311285
3.327096065 = h, the length of the hypotenuse, DE.
The midpoint, where the rest area is, will just be the average of the coordinates of Springfield and Columbus.
Rest Area=((1+7)/2, (-4+1)/2)
Rest Area=(4, -1.5)
The distance between the two cities can be found using the Pythagorean Theorem, which used in the manner is often referred to as the "distance" formula between two points.
d^2=(x2-x1)^2+(y2-y1)
d^2=(7-1)^2+(1--4)^2
d^2=36+25
d^2=61
d=√61 and we are told that each unit is equal to 5.38mi so the distance from Springfield to Columbus is:
D=5.38√61 mi
D≈42.02mi (to nearest hundredth of a mile)
