Answer:
Circle B
3.14 cm
Step-by-step explanation:
1. The diameter is twice the radius, so the diameter of Circle B is ...
2 × 5 cm = 10 cm
This diameter is greater than the 9 cm diameter of Circle A, so Circle B is larger and will have a larger circumference.
2. The circumference is the product of π and the diameter. Then the difference between the two circumferences is ...
... (circle B circumference) - (circle A circumference) = π·(10 cm) - π·(9 cm)
... = π·(10 -9) cm = π·1 cm ≈ 3.14 cm
(2x-y = -3 × y = 0 × (0, 0) × ( -1, 1) × (1, -1) =
(2x - y = -3 × y =0 × (0)) ×, × 0 ×, × 1 ×, × -1
Answer:
C. 4.2a + 0.8
Step-by-step explanation:
Given:
The two binomials given for addition are:
and
Now, adding both the binomials, we get:
Distributing the positive sign inside the second binomial, we get:
Now, combining like terms using the commutative property of addition, we get:
Simplifying the above expression, we get:
Therefore, the resulting addition of the given binomials is
Hence, option C is the correct answer.
Answer:
The mean of the combined group is 76.67 ≈ 77
Step-by-step explanation:
- The sum of the grades in Tom's group is 20×70 = 1400
- The sum of grades in Alice's group is 10×90=900
- The sum of gradees in the combined group is =1400+900=2300
- Then the mean grade of the combined group is
where
- 2300 is the sum of the all grades in the combined group
- 30 is the total number of people in the group
Answer: b
Step-by-step explanation: