Answer:
4.333 meters
Step-by-step explanation:
Given:
We are told that the rope is cut into two pieces and that one (longer) piece is twice the length of the other (short) piece
let the length of the short piece = x meters
hence the length of the longer piece = 2x meters
we are also given that the total length of the two pieces is 6.5m
hence,
length of short piece + length of long piece = 6.5 m
in equation form:
x + 2x = 6.5
3x = 6.5 (divide both sides by 3)
x = 6.5/3 meters
we are asked to find the length of the long piece (i.e 2x)
hence
2x = 2 (6.5/3) = 4.333 meters (answer)
Answer:
Step-by-step explanation:
The denominator doesn't really matter here. You just have to add the numerators and then put the denominator back on again. The numerators are 3 and 1 and if you add 3 and 1 you will get 4. Now you have to put the denominator back on to the bottom of the numerator. So, if you but 5 on the bottom of 4 it will be 
.
<h3>
Answer: 161 degrees</h3>
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Explanation:
Line AE is a tangent while line AU is a secant. The angle formed by the secant and tangent lines connects with the arcs through this formula
secant tangent angle = (larger arc - smaller arc)/2
More specifically, we can say:
angle EAI = (arc EU - arc IE)/2
42 = ( (7m+5) - (3m-1) )/2
42*2 = (7m+5) - (3m-1)
84 = 7m+5 - 3m+1
84 = 4m+6
4m+6 = 84
4m = 84-6
4m = 78
m = 78/4
m = 39/2
m = 19.5
Use this value of m to compute each arc
- arc IE = 3m-1 = 3*19.5-1 = 57.5 degrees
- arc EU = 7m+5 = 7*19.5+5 = 141.5 degrees
Let's say arc IU is some unknown number x. It must add to the other two arc measures to form 360 degrees, which is a full circle.
(arc IU) + (arc IE) + (arc EU) = 360
x + 57.5 + 141.5 = 360
x + 199 = 360
x = 360-199
x = 161
The measure of minor arc IU is 161 degrees
The least common multiple of 8,9, and 10 is 360
A mile or two can add up to ether 5,280 or 1,760 I'm sorry I'm kinda good at math hope that helps
