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professor190 [17]
3 years ago
5

The function L = 0.8T^2 models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the

pendulum. Which value is closest to the period in seconds for a pendulum that is 30 ft long?
a 5.4s
b 4.9s
c 6.8s
d 6.1s
Mathematics
1 answer:
Semmy [17]3 years ago
7 0
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>
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60 oz

Step-by-step explanation:

Although 60 is the correct answer, you might want to double check because you just used two different systems of measurement in one problem.

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2 years ago
Draw to explain how you would make a ten to find 5+8.
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3 years ago
John accepted a reduction of 15% on his salary when his company was not doing well. Now his company's financial position has imp
o-na [289]
To reverse a percentage decrease you divide it by the decrease (+ 100%)
For example we will pick the number, 100, which is decreased by 15% to 85.

To make 85 back to 100 we divide it by the decrease (1-0.15):
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6 0
3 years ago
45x+10y+50=?<br> PLZ HELP ASAP DUE TODAY!
Viktor [21]

Answer:

5(9x + 2y + 10)

or

x = 0

y = -5

Step-by-step explanation:

If you are just factoring this, you will factor a 5 out from everything.

5(9x + 2y + 10)

or if you are trying to solve just isolate one of the variables and then substitute it into the original equation

45x + 10y = 50

10y = 50 - 45x

y = 5 - 4.5x

45x + 10(5-4.5x) + 50

45x + 50 - 45x + 50

x=0

45(0) + 10y + 50

0 + 10y + 50

10y + 50

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7 0
2 years ago
The interior angle of a regular polygon is five times its corresponding exterior angle. Find the
tiny-mole [99]

Answer:

12

Step-by-step explanation:

Regular polygon is one in which each angle and sides is congruent.

Sum of all the exterior angles of any polygon is 360.

Sum of all the  interior angles of any polygon is (2n-4)*90

where is n is the no. of sides of polygon.

Let n be the no. of sides of polygon required

Therefore,

Sum of all the  interior angles of  polygon = (2n-4)*90

since no of sides of polygon is n

therefore, value of each  interior angles of the polygon = (2n-4)*90/n  (A)

Sum of all the exterior angles of any polygon = 360.

value of each  exterior angles of the polygon = 360/n  (B)

Given that

The interior angle of a regular polygon is five times its corresponding exterior angle   (c)

using the statement A, B and C

(2n-4)*90/n = 5*360/n

1/n is common on both side, hence it gets cancelled.

(2n-4)*90 = 5*360

=> (2n-4) = 5*360 /90 = 20

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=> n = 24/2 = 12.

the  number of sides of the polygon is 12

6 0
3 years ago
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