The answer is 72 (--> second choice).
I can prove it without calculator so you believe me:
Answer: 3.61km or √13
Step-by-step explanation:
Given Data:
Sides of hexagon = 2km each
Distance walked by Ama = 5km
Therefore;
Let Ama starting position be the origin.
With this She would travel along two edges and then go halfway along a third.
Her new x- coordinate would be
= 1 + 2 + 1/2 = 7/2
Because she travels a distance of 5km which translates to 2 and half side of the Hexagon
= 2*1/2
= 1km. On her x-coordinates
For her y-coordinate we use same principles as x-coordinates
= √3 + 0 - √3/2
= √3/2
Therefore her distance walked
= √ ( (7/2)^2 + (√ 3/2)^2 )
= √ ( 49/4 + 3/4 )
= √ 13
= 3.61km
The slope is 3/5 just count the units up and to the side
The answer for this question is 8 km
Answer:
45 degrees for 8
135 degrees for 9
48 for 10
Yes a square is a rectangle
Next ones.
Sut = 21 becuase x=5
7
Step-by-step explanation:
Last one:
x^2 + 8 = 3x + 36
- 8 - 8
x^2 = 3x + 28
-3x -3x
x^2 - 3x = 28
(x · x) - 3x = 28.
This was were a little guess work was used,
I found that any number lower than 7 is less than 28 when pluged into x and any above is higher.
Hence x = 7
So
x^2 + 8 = 7^2 + 8
7 x 7 = 49. 49 + 8 = 57.
and
3x+36 = 7 x 3 + 36
7x3 = 21. 21 + 36 = 57.
Both lines are equal so x is indeed 7.
The RSTU rectangle
3x+6 = 5x-4
+4 +4
3x+10 = 5x
-3x -3x
10 = 2x
10/2 = 5
5 = x or x = 5
plug it in now
3 x 5 = 15. 15 + 6 = 21
and
5 x 5 = 25. 25 - 4 = 21
so x = 5
8-10
QRS = 45 degrees because bisects the square with a diagonal line from corner to corner
PTQ is a 135 degrees because it is wider than a 90 degrees angle and meets both upper corner from the middle of the square making it 135 degrees.
SQ = 48 because RT = 24 and RT is half the length of SQ meaning its length would be 48
Or
SQ= 24 degrees because RT = 24 and if RT was to continue on the line it is on it will reach the length of SQ.
