Circumference = 2 · π · r or π · d
Radius = 7.8
7.8 × 2 = 15.6
15.6 × 3.14(π) = 48.984
Circumference = 48.984 rounded = 49
Area = π · r²
Radius = 7.8
7.8 × 7.8 = 60.84
60.84 × 3.14(π) = 191.0376
Area = 191.0376 rounded = 191
Hope this helped☺☺
m∠RSV = 3x + 5, m∠RST = 8x - 14 <em>given</em>
m∠RSV ≅ m∠VST <em>definition of segment bisector</em>
m∠RSV + m∠VST = m∠RST <em>angle addition postulate</em>
(3x + 5) + (3x + 5) = (8x - 14) <em>substitution</em>
6x + 10 = 8x - 14 <em>simplify (added like terms)</em>
10 = 2x - 14 <em>subtraction property of equality</em>
24 = 2x <em>addition property of equality</em>
12 = x <em>division property of equality</em>
Answer: x = 12
Let's set up this problem.
k+7=34
Subtract k from both sides.
k=27
Answer: each of the students took 1/4 of an eraser home.
Step-by-step explanation:
On the last period our teacher had 1/2 of an eraser left. She gave it equally to 2 students. This means that the amount of eraser that each student takes home would be
(1/2)/2 = 1/2 × 1/2 = 1/4 of an eraser. Converting to decimal, it becomes 0.25 of an eraser.
Answer:
38.77 yd³
Step-by-step explanation:
The volume of the sphere can be determined by using the formula 4πr³/3.
[Where "r" is the radius of the circle].
<u>We are given that:</u>
Radius of circle = 2.1 yd
<u />
<u>When we substitute the radius in the formula, we get;</u>
⇒ 4 × π × (2.1)³/3
<u>Let π be substituted as 3.14. Then;</u>
⇒ 4 × π × (2.1)³/3
⇒ 4 × (3.14) × (2.1)³/3
<u>When evaulating the cube of 2.1, we get;</u>
⇒ 4 × (3.14) × (2.1)³/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
<u>When simplified, we get;</u>
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (0.7)
⇒ 4 × (3.14) × (4.41) × (0.7)
⇒ (12.56) × (4.41) × (0.7)
⇒ 38.77272 ≈ 38.77 yd³ (Rounded to nearest hundredth)
Therefore, the volume of the sphere is 38.77 yd³.
