Answer:
A) 0 ≤ x ≥ 5
B) Number line is attached
C) Interval notation is; (0,5)
Step-by-step explanation:
We are told that the number is greater than zero and less than or equal to 5. If the number is x, then we can write the inequality as;
i) 0 ≤ x ≥ 5
ii) The solution graphed on a number line is attached.
iii) Since 0 ≤ x or x ≥ 5, then the interval notation is; (0,5)
Answer:
![\frac{5}{48}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B48%7D)
Step-by-step explanation:
Start by converting 8 feet to inches. Note that 1 feet = 12 inches.
We can set up a unit converter:
![8ft(\frac{12in}{1ft})](https://tex.z-dn.net/?f=8ft%28%5Cfrac%7B12in%7D%7B1ft%7D%29)
The feet cancel out leaving us with:
![8*12in=96in](https://tex.z-dn.net/?f=8%2A12in%3D96in)
The scale factor is:
![\frac{drawing}{real\ life}=\frac{10in}{96in}=\frac{10}{96}=\frac{5}{48}](https://tex.z-dn.net/?f=%5Cfrac%7Bdrawing%7D%7Breal%5C%20life%7D%3D%5Cfrac%7B10in%7D%7B96in%7D%3D%5Cfrac%7B10%7D%7B96%7D%3D%5Cfrac%7B5%7D%7B48%7D)
Answer:
D.130°
Step-by-step explanation:
An arc measure ia an angle an arc makes with the circle's centre and is proportional to the angle it subtends to the circumference, arc length.
-Given that AC and BC are diameters, then
since they are alternate angles.
![\angle AOB =\angle dOC=180\textdegree\\\\3x-70=x+10\\\\x=40\textdegree](https://tex.z-dn.net/?f=%5Cangle%20AOB%20%3D%5Cangle%20dOC%3D180%5Ctextdegree%5C%5C%5C%5C3x-70%3Dx%2B10%5C%5C%5C%5Cx%3D40%5Ctextdegree)
#Since angles on one side of a diameter sum up to 180°, mBC is calculated as:
![(3x-70)+m\angle BC=180\\\\M\angle BC=180+70-3\times 40\\\\=130\textdegree](https://tex.z-dn.net/?f=%283x-70%29%2Bm%5Cangle%20BC%3D180%5C%5C%5C%5CM%5Cangle%20BC%3D180%2B70-3%5Ctimes%2040%5C%5C%5C%5C%3D130%5Ctextdegree)
Hence, mBC=130°
Answer:
10+10-5=15
10-7=3
8
7+8
5
Step-by-step explanation: