Answer:
Incomplete question, check attachment for the necessary diagram
Step-by-step explanation:
Note in the attachment,
We have two identical straight line of lenght
L1 = L2 = 84.39m
We also have two identical semicircle or radius 36.5m to the first track lane
But this is not the radius of the circle, the radius of the circle will now be 36.5 plus the 6 track lane and we are told that one track lane is 1m, then, the track lane is 6m
So, radius = 36.5+6
r = 42.5m
Then, we need to calculate the perimeter of the semicircle using the formula of perimeter of a circle and dividing by2
P = 2πr/2
P =πr
P = 22/7 × 42.5
P = 133.57 m
Then, the arc 1 is equal to arc 2 which is equal to 133.57 m
A1 = A2 = 133.57 m
Now we have all the dimensions,
Then, the perimeter can be calculated by adding the length of the sides
The perimeter of the field = Lenght of the two straight lines plus the length of the two semicircle arc
P = L1 + L2 + A1 + A2
P = 84.39 + 84.39 + 133.57 + 133.57
P =435.923 m
So, to the nearest meter
P ≈ 436m
The perimeter of the track is 436m
Answer:
x = -5
Step-by-step explanation:
Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.
This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).
So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.
On the right side we are given 9 for AD, and 18 for DC.
9/18 = 0.5
This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:
If AD/DC = 0.5, then BE/EC will also = 0.5
BE = x+23
EC = x+41
Therefore:
Now we can solve by multiplying both sides by x+41 to eliminate the fraction:
Now we multiply out the brackets and move the terms to different sides:
And if we substitute the -5 into the equations:
-5+23 = 18
-5 + 41 = 36
We will see that -5 does indeed give us the same ratio between the lengths:
18/36 = 0.5
Hope this helped!
Answer:
1/7 or 14.3%
Step-by-step explanation:
30% of 750 = 225 (females who study chemistry)
60% of 2250 = 1350 (males who study chemistry)
1575 = total students studying chemistry
P (female chemistry student) = 225/1575 = 1/7 (simplified)
1/7 = 14.3%
Answer:
The center is [-1,-2
Step-by-step explanation:
Well, since the problem is talking about a right triangle, and one measurement is given, you can solve for the other one by simply subtracting 58 from 90.
so sin (theta)=cos 90 - 58
sin (32)=cos 58
