That is a central angle and each central angle = 360° / #sides
x = 360° / 8
x = 45°
Answer:
2 groups of CDs
Step-by-step explanation:
Charmaine has 6 CDs total
6 divided by 3 = 2
Answer:
Refer to Image.
3 went 0 to 5 times
2 went 6 to 10 times
3 went 11 to 15 times
1 went 16 to 20 times
3 went 21 to 25 times
Step-by-step explanation:
When making a histogram, it's good practice to first gather all the frequencies of each number.
1 - 1
3 - 1
4 - 1
6 - 1
10 - 1
11 - 2
12 - 1
16 - 1
20 - 2
22 - 1
Now that we have the total number of frequencies of each number, we can then combine the frequencies for each age range.
0 - 5: 3
6 - 10: 2
11 - 15: 3
16 - 20: 1
21 - 25: 3
The histogram shows that out of the 12 visitors.
3 went 0 to 5 times
2 went 6 to 10 times
3 went 11 to 15 times
1 went 16 to 20 times
3 went 21 to 25 times
Answer:
d = 1.46 m
Step-by-step explanation:
We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:
From the question given above,
F is inversely proportional to square of d. This can be written as:
F ∝ 1/d²
F = K/d²
Cross multiply
K = Fd²
But:
Force (F) = 0.006 N
Distance (d) = 4 m
Constant (K) =?
K = Fd²
K = 0.006 × 4²
K = 0.006 × 16
K = 0.096 Nm²
Therefore, the relationship between the force (F) and the distance (d) is:
F = K/d²
F = 0.096 / d²
Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:
Force (F) = 0.045 N
Constant (K) = 0.096 Nm²
Distance (d) =?
F = K/d²
0.045 = 0.096 / d²
Cross multiply
0.045 × d² = 0.096
Divide both side by 0.045
d² = 0.096 / 0.045
Take the square root of both side.
d = √(0.096 / 0.045)
d = 1.46 m.
Answer:
Step-by-step explanation:
Simplify the expression:
Grouping like terms, 10x² + 5x² + 4 x - 4 x - 1 + 3 = (10 x² + 5x²) + (4 x - 4 x) + (-1 + 3):
10x² + 5x² = 15x²:
3 - 1 = 2:
4 x - 4 x = 0: