Answer:
3052 cm^3 (Answer C)
Step-by-step explanation:
The formula for the circumference of a circle of radius r is C = 2(pi)(r). We know that C = 56.52 cm and want to find the model's radius:
C 56.52 cm
Solving for r, we get ---------- so that in this case r = ------------------ or
2(pi) 6.28
r = 9 cm.
The formula for the volume of a sphere of radius r is V = (4/3)(pi)(r^3), which here comes out to:
V = (4/3)(3.14)(9 cm)^3 = 3052 cm^3 (Answer C)
Answer:
B
Step-by-step explanation:
The first term of the binomial needs to be multiplied by the entire trinomial. We'll use the distributive property to expand. Now we do the same process for the second term. The last step is to combine the two parts and simplify.
You have to shoe that the angles between adjacent sides = 90 degrees. You do do this by showing the adjacent sides are perpendicular by comparing their slopes.
The answer is D.
In the expression, the fraction must be larger than 1/4, yet smaller than 7/8.
It can't be A because 1/5 is smaller than 1/4. See below.
1/5 = 4/20
1/4 = 5/20
It also can't be B because 8/9 is larger than 7/8. See below.
8/9 = 64/72
7/8 = 63/72
Lastly, the answer cannot be C because 2/10 is smaller than 1/4.
1/4 = 5/20
2/10 = 4/20
Answer D works because:
10/20 = 2/4 > 1/4
10/20 = 80/160 < 140/160
