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Novosadov [1.4K]
1 year ago
15

The period 7 (in seconds) of a pendulum is given by T = 2pi√( L divided by 32) where L stands for the length (in feet) of the pe

ndulum. If pi = 3.14, and the period is 12.56 seconds, what is the length?
The length of the pendulum is _____ feet.

Mathematics
1 answer:
oksano4ka [1.4K]1 year ago
5 0

Answer:

128 feet

Step-by-step explanation:

t = 2\pi \sqrt{\frac{l}{32} }

So now we will substitute the values of T and π into the equation.

12.56 = 2 \times 3.14 \sqrt{ \frac{l}{32} }

12.56 = 6.28 \sqrt{ \frac{l}{32} }

Divide both sides by 6.28

2 =  \sqrt{ \frac{l}{32} }

Square both sides.

4 =  \frac{l}{32}

Multiply both sides by 32

l = 4 \times 32 \\ l = 128 \: feets

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noname [10]
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4 0
3 years ago
A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defect
krek1111 [17]

Answer:

The probability that the first two electric toothbrushes sold are defective is 0.016.

Step-by-step explanation:

The probability of an event, say <em>E </em>occurring is:

P (E)=\frac{n(E)}{N}

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let <em>X</em> = number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is, <em>n</em> = 20.

Number of defective electric toothbrushes is, <em>x</em> = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

{20\choose 2}=\frac{20!}{2!(20-2)!}=\frac{20!}{2!\times 18!}=\frac{20\times 19\times 18!}{2!\times 18!}=190

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

{3\choose 2}=\frac{3!}{2!(3-2)!}=\frac{3!}{2!\times 1!}=3

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

                                                            =\frac{3}{190}\\

                                                            =0.01579\\\approx0.016

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

8 0
3 years ago
A student took a survey of the class. There are 42 students in the class. The student surveyed favorite foods. 10 said hamburger
8_murik_8 [283]

Answer:

52.38%

Step-by-step explanation:

Given that,

Total number of students in the class is 42

Out of 42, 10 like hamburgers, 22 like pizza, 8 like french fries, and 2 like salad.

We need to find the percentage of the class chose pizza. There are 22 student who like to have pizza. Required percentage is given by :

P=\dfrac{22}{42}\times 100\\\\P=52.38\%

So, 52.38% of students chose pizza.

7 0
2 years ago
Descompuneti in factori. x^2+4x-5=?
Lapatulllka [165]
<span>Assume that,
   x^2+4x-5 = 0 .......(1)
       Then, x^2+4x-5 = 0 x^2+5x-1x-5 =0
   x(x+5)-1(x+5) = 0
    (x+5) (x-1) = 0
       We get x=-5 and x=1
       Sub x=-5 in equ (1)
   (-5)^2+4(5)-5 = 0
     -25+20-5 = 0
    -25+25= 0
    0 = 0
       Sub x=1 in equ (1) (1)^2+4(1)-5 = 0
    1+4-5 = 0 5-5 = 0
     0 = 0
       Therefore x value is -5 and 1</span>
3 0
3 years ago
D) Pedro spends some of his money and at the end of the two
Ksenya-84 [330]

Answer:

it depend

Step-by-step explanation:

hopefully i help

5 0
2 years ago
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