Answer: 4th graph
Explanation:
3x _> 3
x _> 3/3
x _> 1
9x > 54
x > 6
We can write x like this:
1 <_ x < 6
Meaning that x is bigger or equal to 1 but less than 6
Answer:
Step-by-step explanation:
Volumes of two spheres A and B = 648 cm³ and 1029 cm³
Things to remember:
1). Scale factor of two objects =
[
and
are the radii of two circles]
2). Area scale factor = 
3). Volume scale factor = 
Volume scale factor Or Volume ratio = 
![\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }](https://tex.z-dn.net/?f=%5Cfrac%7Br_1%7D%7Br_2%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B648%7D%7B1029%7D%20%7D)
![\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}](https://tex.z-dn.net/?f=%5Cfrac%7Br_1%7D%7Br_2%7D%3D%5Cfrac%7B6%28%5Csqrt%5B3%5D%7B3%7D%29%7D%7B7%28%5Csqrt%5B3%5D%7B3%7D%29%7D)

Therefore, scale factor =
≈ 6 : 7
Area scale factor Or area ratio = 
= 
≈ 36 : 49
Volume scale factor or Volume ratio = 
= 
≈ 216 : 343
Answer:
51 were the total number of the tickets sold at a school carnival were early-admission tickets.
Step-by-step explanation:
Total number of tickets sold by = 100
Let
be the early-admission tickets sold by the school.
As 51% of the tickets sold at a school carnival were early-admission tickets.
so


Therefore, 51 were the total number of the tickets sold at a school carnival were early-admission tickets.
Answer: r>13
Step-by-step explanation:
The sign is less than so r +8 has to be 20 or less.
Answer:
BC 4 in
Step-by-step explanation:
The steps for construction;
- Using a ruler draw line AB 4 inches and label the end points A and B
- At point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inches
- Mark that point C.
- Using the ruler, join point C and B and measure BC.
From calculation, length BC can be found by the formula;
------where a=b=4 in , cos A = cos 60°

BC = 4 in