Answer:
All are correct there are just disorganized.
Answer:
26,400 feet is 5 miles, so 5,280 fph.
Step-by-step explanation:
1 foot is equal to 0.000164 mile.
If you need an explanation, let me know. Hope this helps!!
Answer:
Total number of 1 2/3 feet long pieces that will be cut=8 pieces
Step-by-step explanation:
This can be expressed as;
Total length of the board=length per piece×number of pieces
where;
Total length of board=14 1/4 feet
Length per piece=1 2/3 feet
Number of pieces=n
Replacing;
14 1/4=1 2/3×n
(57/4)=(5/3)n
n=(57/4)×(3/5)=8.55
Total number of 1 2/3 feet long pieces that will be cut=8 pieces
Three important properties of the diagonals of a rhombus that we need for this problem are:
1. the diagonals of a rhombus bisect each other
2. the diagonals form two perpendicular lines
3. the diagonals bisect the angles of the rhombus
First, we can let O be the point where the two diagonals intersect (as shown in the attached image). Using the properties listed above, we can conclude that ∠AOB is equal to 90° and ∠BAO = 60/2 = 30°.
Since a triangle's interior angles have a sum of 180°, then we have ∠ABO = 180 - 90 - 30 = 60°. This shows that the ΔAOB is a 30-60-90 triangle.
For a 30-60-90 triangle, the ratio of the sides facing the corresponding anges is 1:√3:2. So, since we know that AB = 10, we can compute for the rest of the sides.



Similarly, we have



Now, to find the lengths of the diagonals,


So, the lengths of the diagonals are 10 and 10√3.
Answer: 10 and 10√3 units
Answer:
x = -13
Step-by-step explanation:
Distribute:
8 - 6x + 10x - 15 = 20 - 5x
Combine like terms:
4x - 7 = 20 - 5x
Isolate Variable
-x = 13
-1(-x) = -1(13)
x = -13