Answer:
(6 , -9) (7, -9)
Or
(6, 11) (7, 11)
Step-by-step explanation:
Given: Two of the vertices of a rectangle are (6,1) and (7,1)
Perimeter= 18 units
To get the value of "x"
The distance between Two point can be calculated as (6-7)=-1
Then x= -1
We can get the value of "y" by using expression for perimeter,
The perimeter P= 2x+2y=18
= 2(-1)+2y= 18
-2+2y=18
2y=18+2
2y= 20
y=10
The "y" coordinate can move up or can move down
y1=( 1-10)=-9
Or
y2=( 1+10)=11
Hence, the two other points are;
(6 , -9) (7, -9)
Or
(6, 11) (7, 11)

= 7.348469228
this is irrational, because it cannot be written in the form

2. Irrational
DC/AC=EC/BC
x/(x+3)=10/16
10(x+3)=16x
10x+30=16x
30=6x
x=5
DC=x=5
DC=5 units long
10/16=DE/AB, DE=y
10/16=y/10
16*y=10*10
y=6.25≈6.3
DE≈6.3
The more painstaking way would be to divide the spinner up into 100 pieces, and shade in 5 of those pieces. Since 5/100 = 0.05 = 5% this means that landing on any of the 5 pieces has a 5% chance of happening.
A better way to do this is to use 20 slices instead. This works because 5/100 reduces to 1/20 (divide top and bottom by 5). Instead of shading in 5 slices, Mark should shade in 1. If you use a calculator, you should see that 1/20 = 0.05 = 5% as well.
The second option is more practical but even then a spinner with 20 sections is still a lot. I think it might be better for Mark to pull random numbers out of a hat, or let the computer generate random numbers.
Answer:
6/12 or 1/2 or 50% or 0.5
Step-by-step explanation:
You have two 6-sided dice, and there are 3 odd numbers on each.
So, you put 6 on top, (the total number of odd outcomes) and 12 on the bottom. (12 total outcomes for both dice.) This simplifies to 1/2 or 50% or .5.