All categories

2 years ago

Cuál es el volumen de un cilindro que tiene 42cm de radio y una altura de 1.20m?

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

8 0

Answer:

V = 665,012 cm^2 (centímetros cuadrados)

Step-by-step explanation:

V= (pi) x (r^2) x (h)

V = 3.14 x 1764 x 120cm = 665012 cm^2

You might be interested in

Express the function y(t)= 4 sin 2πt + 15 cos 2πt in terms of (a) a sine term only. (b) Determine the amplitude, the period, the

Bond [772]

Answer:

See the step by step solution

Step-by-step explanation:

Consider a more general case of the form $a\sin(x)+b\cos(x)$ . We want to express it as a sine term only by using the following formula $\sin(\alpha+\beta) = \sin(\alpha)\cos(\beta)+\sin(\beta)\cos(\alpha)$

The trick consists on find a number $\beta \in [0,2\pi]$ such that $\cos(\beta) = a, \sin(\beta)=b$ . But, note that since $\cos^2(\beta)+\sen^2(\beta)=1$ it is most likely that $a^2+b^2neq 1$ . Then, we will use the following equations:

$\cos(\beta) =\frac{a}{\sqrt[]{a^2+b^2}=A,\sin(\beta) =\frac{b}{\sqrt[]{a^2+b^2}=B$

Then, problem turns out to be

$a\sin(x)+b\cos(x)= \sqrt[]{a^2+b^2}(A\sin(x)+B\cos(x)) =\sqrt[]{a^2+b^2}(\sin(x)\cos(\beta)+\sin(\beta)\cos(x))=\sqrt[]{a^2+b^2}\sin(x+\beta)$ ,

where $\beta = \tan^{-1}(\frac{B}{A})= \tan^{-1}(\frac{b}{a}). So, note that the frequency is the same. Then, a) Taking a=4 and b= 15 we have that 4 sin 2πt + 15 cos 2πt= [tex]\sqrt[]{15^2+4^2}\sin(2\pi t + \tan^{-1}\frac{15}{4})$

b) The amplitude is $\sqrt[]{15^2+4^2} = \sqrt[]{241}$ . Since $2\pi rad/s = 1 Hz$ the frequency is 1 Hz. The period is given by \frac{2\pi}{2\pi} = 1.

c) The function's graph is attached

7 0

3 years ago

Read 2 more answers

For wages less than the maximum taxable wage base, Social Security contributions (including those for Medicare) by employees are

marin [14]

Answer:

y = 0.0765x

Step-by-step explanation:

We have that:

y is the total taxes paid.

x is the total wages earned.

The total taxes paid is a function of the total wages earned.

For wages less than the maximum taxable wage base, Social Security contributions (including those for Medicare) by employees are 7.65% of the employee's wages.

So 7.65% of the total wages earned are paid in taxes. We write the percentage as a decimal, so 7.65/100 = 0.0765

So the answer for a) is:

y = 0.0765x

4 0

3 years ago

How do you solve this? <br>Y x 49/36=7/12

Triss [41]

Divide both sides by 49/36 to get y by itself:

$\frac{7}{12} \div \frac{49}{36}$

$\frac{7}{12} \times \frac{36}{49} = \frac{254}{588}$

Simplify this fraction:

$\frac{254}{588} \div \frac{2}{2} = \frac{127}{294}$

Now you have your answer:

$y = \frac{127}{294}$

5 0

3 years ago

What is the relationship between 1 meter and 1 centimeter?

motikmotik

Answer:

there are 100 centimeters in a meter

Step-by-step explanation:

you can remember this by the prefix centi which means 100.

4 0

2 years ago

At sea level, earths atmosphere exerts a pressure of 1 atmosphere. Atmospheric pressure P (in atmospheres) decreases with altitu

PtichkaEL [24]

Answer:

Initial Amount=1

Decay Factor=0.99987

Decay Rate=0.013%

Step-by-step explanation:

If P = 0.99987ᵃ

I. Initial amount

The initial amount is when a=0

P = 0.99987⁰ = 1

The Pressure at Sea Level=1

II. Decay factor

This is like the decay constant. From the model, P = 0.99987ᵃ, the decay constant/factor is 0.99987.

III. Decay Rate = 1-0.99987 = 0.00013

Expressed in Percentage = 0.013%

5 0

3 years ago

Read 2 more answers