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natita [175]
3 years ago
12

A pendulum on a grandfather clock swings side to side once every second. If the length of the pendulum is 8ft and the angle is 2

0 degrees, how far does it travel in 1 second?
Mathematics
2 answers:
larisa86 [58]3 years ago
8 0

Answer:

73.66 miles per hour

or if 40 degree whole swing of pendulum then ;

147.33 miles per hour.

Divide by 3600 for p/second

Step-by-step explanation:

sin x = opp /hyp  = 8 x sin (20) = 1.113384808 = 1.11ft

1.1ft p/s

5290 feet in every mile

5290/1.113384808 = 4751.27733 feet

3500 seconds in an hour

3500/4751.27733 x 100 = 73.6644013 m/ph

Scenario 2

or 2.2 feet per second depending on whether the angle from central each side is 20 degrees = 1.1 x 2 = 2.2 feet.

5290/2.22676962 =2375.63866

3500 seconds in an hour

3500/2375.63866 x 100 =  147.328803 m/ph

GarryVolchara [31]3 years ago
4 0

Step-by-step explanation:

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Jóin me

g-meet

besmfyotjp

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*If diagonal of a square is of length 10√2 cm then the perimeter of square is ...............cm.*
Artyom0805 [142]

Answer: 1️⃣ 40

Step-by-step explanation:

<em>x - is the side of the square</em>

<em />x^{2} +x^{2}   =(10\sqrt{2})^{2}  \\2x^{2}}  =200\\2x^{2} \div  2=200 \div  2 \\x^{2} =100\\x=\sqrt{100} \\x=10 \:  [cm] - side \: of  \: a \: square<em />

<em>Find the perimeter of the square.</em>

<em>Perimeter of the square = 4 × 10 cm = 40 cm</em>

<em />

8 0
3 years ago
Can someone help please?
Katyanochek1 [597]

Answer:

(6,9)

Step-by-step explanation:

the x place is counting by 2 and the y place is going up by 3

7 0
3 years ago
Read 2 more answers
What is the inverse of the function f(x) = x +3?
MAXImum [283]

Answer:

f⁻¹(x) = x - 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Functions
  • Function Notation
  • Inverse Functions

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = x + 3

<u>Step 2: Find</u>

  1. Swap:                                                                                                                 x = y + 3
  2. [Subtraction Property of Equality] Isolate <em>y</em>:                                                      x - 3 = y
  3. Rewrite:                                                                                                             f⁻¹(x) = x - 3
6 0
3 years ago
How do you solve the three forms: Slope Y-intercept form Standard Form Point slope form
Nostrana [21]

Answer:An equation in the slope-intercept form is written as

y=mx+b

Where m is the slope of the line and b is the y-intercept. You can use this equation to write an equation if you know the slope and the y-intercept.

Example

Find the equation of the line

Choose two points that are on the line

Calculate the slope between the two points

m=y2−y1x2−x1=(−1)−33−(−3)=−46=−23

We can find the b-value, the y-intercept, by looking at the graph

picture28

b = 1

We've got a value for m and a value for b. This gives us the linear function

y=−23x+1

In many cases the value of b is not as easily read. In those cases, or if you're uncertain whether the line actually crosses the y-axis in this particular point you can calculate b by solving the equation for b and then substituting x and y with one of your two points.

We can use the example above to illustrate this. We've got the two points (-3, 3) and (3, -1). From these two points we calculated the slope

m=−23

This gives us the equation

y=−23x+b

From this we can solve the equation for b

b=y+23x

And if we put in the values from our first point (-3, 3) we get

b=3+23⋅(−3)=3+(−2)=1

If we put in this value for b in the equation we get

y=−23x+1

which is the same equation as we got when we read the y-intercept from the graph.

To summarize how to write a linear equation using the slope-interception form you

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

Once you've got both m and b you can just put them in the equation at their respective position.

4 0
3 years ago
Choose the correct converse.
PIT_PIT [208]
B is the answer to your question
7 0
3 years ago
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