The correct option is "d".
Given that L = 0.8T²
length of pendulum = 30ft
L= 0.8T²
30 = 0.8T²
T² = 30 / 0.8
T² = 37.5
T = √37.5 = 6.1 seconds
<span>So, 6.1 is the closest to the period in seconds for a pendulum that is 30 ft long.</span>
Answer:
c
Step-by-step explanation:
7^5 means that there are 5 7s eg 2^4 would be 2×2×2×2
Answer x = 12 and y = 9
Step by step
First identify the equations
The sum of two numbers is 21
x + y = 21
Change to y intercept for ease of math
y = 21 - x ( call this equation a)
Three times the larger is equal to four times the smaller
3x = 4y (call this equation b)
Now substitute the value of y = 21 -x into equation b
3x = 4(21-x)
Distribute
3x = 84 - 4x
Now we want to isolate x by adding 4x to each side
3x + 4x = 84 -4x + 4x
Combine like terms
7x = 84
Now solve for x by dividing both sides by 7
x = 12
Now to find y
Using equation a from above
y = 21 - x
Substitute our x value of 12 into equation
y = 21 - 12
solve for y
y = 9
Now check your work
x = 12 and y = 9
The sum of two numbers is 21
12 + 9 = 21
Three times the larger (x) is equal to four times the smaller (y)
3x12 = 4x9
36 = 36
Problem solved!!
Step-by-step explanation:
Answer:
<h2><em><u>x</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>9</u></em></h2>
Step-by-step explanation:
<em><u>Let</u></em><em><u>,</u></em>
The unknown number be = x
<em><u>And ,</u></em>
Given number to be added = 9
<em><u>Hence</u></em><em><u>, </u></em>
The sum occurred = <em><u>x + 9</u></em> (sum of a number and 9)
