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MissTica
3 years ago
8

Once a week you babysit your neighbors toddler after school, usually going to a local playground. You notice that each swing on

the swing set takes about the same amount of time, about 3.1 seconds. Use the pendulum formula below to find out how long the swing is. Round your answer to the tenth place. T=2π√L/32
Mathematics
2 answers:
Marta_Voda [28]3 years ago
5 0

Answer:

The length of swing is 7.8 feet.

Step-by-step explanation:

Given: T=2\pi\sqrt{\dfrac{L}{32}}

We need to find L for T=3.1 seconds

We will substitute T=3.1 sec into formula and solve for L

3.1=2\pi\sqrt{\dfrac{L}{32}}

Divide by 2π both sides

0.4934=\sqrt{\dfrac{L}{32}}

Squaring both sides

0.2434=\dfrac{L}{32}

Multiply both sides by 32

L=7.789\approx 7.8

Hence, The length of swing is 7.8 feet.

aev [14]3 years ago
4 0
3.2 multiply pie by three
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1.1 solve for x, where 0°< x 90°. write your answer to one decimal place. 1.1.1 tanx=sin38° 1.1.2cosec( x+10°)=1.345​
snow_lady [41]

The value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345​ is 38.0

<h3>How to solve the trigonometry ratios?</h3>

The equations are given as:

tan(x)=sin38°

cosec( x+10°)=1.345​

In tan(x)=sin38°, we have:

tan(x)=0.6157

Take the arc tan of both sides

x = 31.6

Also, we have:

cosec(x+10°)=1.345​

Take the inverse of both sides

sin(x+10°) = 0.7434

Take the arc sin of both sides

x+10 = 48.0

Subtract 10 from both sides

x = 38.0

Hence, the value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345​ is 38.0

Read more about trigonometry ratios at:

brainly.com/question/11967894

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5 0
2 years ago
4 - 5/2 * (1/10x) = 1 what is the value of x
Inga [223]

4 - 5 / 2 * (1/10x) = 1\\

The first step is to identify the order in which the equation must be solved, by following PEMDAS (you might know it as BEDMAS):

Parenthesis (or Brackets)

Exponents

Multiplication and Division

Addition and Subtraction

My advice would be to add parenthesis, following these rules, if you are not very good at finding them immediately by sight.

So:

4 - 5 / 2 * (\frac{1}{10x})  = 1\\\\4 - [(5/2)*(\frac{1}{10x})]=1\\\\4-(2.5*\frac{1}{10x})=1\\\\4-\frac{2.5}{10x}-1=0\\3-\frac{x}{4}=0\\\frac{x}{4}=3\\x=3*4\\x=12

We check our answer:

x=12\\4 - [(5 / 2) * (1/10)*(x)] = 1\\4 - [(5 / 2) * (\frac{1}{10}) * (12))] = 1\\4 - [2.5 * (\frac{1}{10})*12] = 1\\4 - [(\frac{2.5}{10})*12] = 1\\4 - [(\frac{1}{4})*12] = 1\\4 - 3 = 1\\1=1

We are right!

So, x=12.

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