All categories

3 years ago

A grandfather clock’s pendulum has a period of 4.5 seconds. What is its frequency? Round to the nearest hundredth.

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

7 0

Answer: 0.22hz

Step-by-step explanation:

Hi to answer this question we have to analyze the information given:

Period (T) = 4.5 Seconds

So, to calculate the frequency of the pendulum we have to apply the formula;

Frequency (f)= 1 / period

Replacing with the value given:

f = 1/ 4.5 sec = 0.22 hz

Feel free to ask for more if needed or if you did not understand something.

You might be interested in

Find the volume of a triangular prism with the following dimensions. Round to the nearest cubic unit.triangle base: 5 ft triangl

PIT_PIT [208]

Find the area of a triangle first

a=1/2bh(triangle)

a=1/2(15)

a=7.5

multiply that by the height of the prism

7.5*7.5

=56.25ft^3

you do the rounding

6 0

3 years ago

Ronald bikes 6.9 miles each day. How far has Ronald biked in seven days

FromTheMoon [43]

Answer: 48.3 6.9 times seven

8 0

3 years ago

Read 2 more answers

True or false? The law of cosines reduces to the pythagorean theorem for right triangles.

barxatty [35]

Law of cosine is :
c^2 = a^2 + b^2 − 2ab cos(theeta)
so in case of right triangle , angle is 90 degree:
putting 90 degrees into formula:
c^2 = a^2 + b^2 − 2ab cos(90)
As we know that:
cos90 = 0
c^2 = a^2 + b^2 − 2ab (0)
c^2 = a^2 + b^2 - 0
c^2 = a^2 + b^2 ( this is pythagorean theorem ).
So the above statement is True.

8 0

4 years ago

Read 2 more answers

The graph of f(x) is shown. Estimate f(-3). f(-3) = 1

Effectus [21]

Answer:

There is no graph.

But 1 would be a good estimate if f(-3)=1

Step-by-step explanation:

5 0

3 years ago

How much further up the wall does the ladder in figure 2 reach than

ASHA 777 [7]

The ladder in figure 2 reaches 3.2 feet further up than the ladder in figure 1.

Step-by-step explanation:

Step 1:

In both the given figures, the ladder, the wall and the floor form a right-angled triangle. The floor is the adjacent side, the wall is the opposite side and the ladder is the hypotenuse.

According to the Pythagorean theorem,

$a^{2}+b^{2}=c^{2}$ , where c is the length of the hypotenuse while a and b are the lengths of the other two sides.

Step 2:

For the ladder in figure 1, assume the distance from the floor to the ladder's top is x feet. So a = x, b = 8 and c = 10 (hypotenuse).

$a^{2}+b^{2}=c^{2}$ , $x^{2}+8^{2}=10^{2}$ , $x^{2}=100-64=36, x=\sqrt{36}=6 \text { feet }$ .

So the distance between the floor and the ladder's top is 6 feet.

Step 3:

For the ladder in figure 2, assume the distance between the floor and the ladder's top is y feet. So a = y, b = 4 and c = 10 (hypotenuse).

$a^{2}+b^{2}=c^{2}$ , $y^{2}+4^{2}=10^{2}$ , $y^{2}=100-16=48, x=\sqrt{84}=9.1651 \text { feet }$ .

So the distance between the floor and the ladder's top is 9.1651 feet.

Step 4:

The difference in heights = The wall height in figure 2 - the wall height in figure 1.

The difference in heights = 9.1651 feet - 6 feet = 3.1651 feet.

Rounding this off to the nearest tenth of a foot, we get 3.2 feet.

4 0

3 years ago