PLease find attached the question

Mathematics

1 answer:

Jlenok [28]4 years ago

5 0

Answer: 102.9m

Step-by-step explanation: From A to C you can go from the diagonal path and then go around the circular path and then continue the diagonal path. In order to work out the length of the diagonal, you can simply use pythagoras as the triangle is right angled. So to find the length of the whole diameter, you should do 50 squared plus 80 squared and then square root the answer to get 94.34. But then you have to subtract the part of the diagonal line which the circle takes up, so we already know that the diameter of the circle is 15m so we simply do 94.34-15 to get 79.34. This means that we have found the length of the two diagonals, but now we need to find the length of half the circumference of the circle so that the path is complete and to find half the circumference, we'd do Pi multiplied by the diameter (15) and then divide the answer by 2 (because we are only finding the circumference for half of the circle as we have you go around the circle), leaving us with the answer of 23.56. We then add this to the 79.34 to get the answer of 102.9m. We know this is the shortest route as going along the edges of the rectangle would be 130m which is longer than 102.9m.

You might be interested in

On a coordinate plane, point B is at (1, negative 1). Point B has coordinate B(1, –1). What is the coordinate of B' under a scal

Ray Of Light [21]

Answer:

(3,-3)

Step-by-step explanation:

If a coordinate (x, y) is dilated by a factor k, the resulting coordinate will be (kx, ky)

Given the coordinate (1, -1), if dilated by a factor of 3, the resulting coordinate will be (3(1), 3(-1)) = (3, -3)

Hence the required coordinate will be (3,-3)

6 0

3 years ago

Which graph represents exponential decay?

xz_007 [3.2K]

Answer:

(d) -- see attached

Step-by-step explanation:

A graph that shows exponential decay is one that tends toward a horizontal asymptote as x gets large.

A basic (parent) exponential decay curve is concave upward and tends toward zero as x gets large. The fractional change in any interval is the same as for any other interval of equal size. The curve attached decreases by a factor of 2 when x increases by 1.