A square garden plot has an area of 75 ft2.
a. Find the length of each side in simplest radical form.
First, a square area (A) = length (l)^2
A(ft2) = l^2 --> so l(ft) = square root (sr) of A
l = srA = sr75
Next, factor out 75 into number with even roots: 25•3 = 75
So l = sr25•sr3 --> l = 5•sr3 ft
5•sr3 is in the simplest radical form
b. Calculate the length of each side to the nearest tenth of a foot.
l = sr3 = 1.732 --> so 5•1.732 = 8.66ft
Tenth is one place to the right of the decimal, so l = 8.7 ft
Answer:
-4x+ 1/10
Step-by-step explanation:
−1/2x−1/5−5x+3/10+3/2x
Combine like terms
-1/2x -5x + 3/2x -1/5 + 3/10
Get a common denominator for each group
-1/2x -10/2x + 3/2x -2/10 + 3/10
-8x/2 + 1/10
Simplify
-4x + 1/10
-4x + 1/10
The length of midpoint connected size is half of the size of the triangle that it's parallel to. that's means lengh of sizes are half of the original.
area of triangle with known side a, b, c
s = (a+b+c)/2
area = sqrt(s(s-a)(s-b)(s-c))
area of midpoint triangle wih side a/2, b/2, c/2
s' = (a/2+b/2+c/2)/2 = (a+b+c)/4 = s/4
area' = sqrt(s'(s'-a/2)(s'-b/2)(s'-c/2))
= sqrt(s/2(s/2-a/2)(s/2-b/2)(s/2-c/2))
= (1/4)sqrt(s(s-a)(s-b)(s-c)) = (1/4)area
answer is 1/4
Answer:
B and D both lead to failure. I have no idea how to pick which one is right. I guess D but don't be surprised if it is B. The question tries to do too much.
D
Step-by-step explanation:
No.
You need one more fact.
You can't pick A. Angles are not noted.
B: there is no mention of parallel sides. This is why the proposition fails to give a parallelogram.
C: you haven't got both sides being parallel. You haven't even got one set of opposite sides being parallel
D: This is probably another alternative. You don't know anything about 1 set of opposite sides.
E: No angles are marked.
The first thing you should know for this problem is the definition of speed.Speed is defined as the quotient between distance and time.
v = d / t.
Substituting the values, we have:
v = (100 + 400) / (30) = 16.67 m / s
answer
the train going at 16.67 m / s
