Answer:
B
Step-by-step explanation:
Radius: r=18 feet
Cental Angle: A=44°
Each cycle (one back and forth) lasts 12 seconds
In each cycle the pendulum swings:
L=(A/360°) 2 pi r
L=(44°/360°)(2)(3.141592654)(18 feet)
L=(0.122222222)(113.0973355 feet)
L=13.82300764 feet
Rounded to 3 decimal places:
L=13.823 feet
Each minute (60 seconds) the pendulum makes:
Number of cycles: n=(60 seconds) / (12 seconds)→n=5 cycles
Then, each minute, the pendulum swings:
T=nL=5(13.823 feet)→T=69.115 feet
Answer: Each minute, the pendulum swings 69.115 feet.
Using the Heron's formula, the area of the triangle is: D. 95 square inches.
<h3>What is the Heron's Formula?</h3>
Area = √[s(s - a)(s - b)(s - c)] where s is half the perimeter, or (a + b + c)/2.
Given the following:
s = semi-perimeter = 1/2(50) = 25 in.
a = length of side a = 22 in.
b = length of side b = 13 in.
c = length of side c = 50 - 22 - 13 = 15 in.
Plug in the values
Area = √[25(25 - 22)(25 - 13)(25 - 15)]
Area = √[25(3)(12)(10)]
Area ≈ 95 square inches.
Learn more about the Heron's formula on:
brainly.com/question/10713495
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12 congruent sections through the numbers 1 through 12.
Step-by-step explanation:
Each person's donation ratio is:
Donation 1 is 4/15 of 75
Donation 2 is 4/15 of 75
Donation 3 is 7/15 of 75
4/15(75) = 5 * 4 = 20
7/15(75) = 5 * 7 = 35
Each person's donation amount is:
$20
$20
$35
Check out work:
20 + 20 + 35 = 75!
