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3 years ago

How is kinetic energy measured

Mathematics

1 answer:

spin [16.1K]3 years ago

5 0

Kinetic energy is usually measured in units of Joules and can be written as “J”.

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Find the measures of ZX and ZY.

Ulleksa [173]

mzh=hahsvvrbhegdvvbehe

6 0

3 years ago

Read 2 more answers

[25 POINTS] A cylinder has a volume of 400π cm3. Find the dimensions that minimize its surface area.

miss Akunina [59]

Answer:

r = 5.848cm, h = 11.696cm

Step-by-step explanation:

Surface area: $SA=2\pi rh+2\pi r^2$

Volume: $V=\pi r^2h$

Therefore, the height of a cylinder given its volume would be $h=\frac{V}{\pi r^2}$ , thus:

$SA=2\pi r(\frac{V}{\pi r^2})+2\pi r^2\\\\SA=\frac{2V}{r}+2\pi r^2\\\\SA=\frac{2(400\pi)}{r}+2\pi r^2\\\\SA=\frac{800\pi}{r}+2\pi r^2$

We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:

$\frac{d(SA)}{dr}=-\frac{800\pi}{r^2}+4\pi r$

$0=-\frac{800}{r^2}+4\pi r$

$0=800\pi+4\pi r^3$

$-800\pi=4\pi r^3$

$-200=r^3$

$r\approx5.848$

If $0If [tex]r>5.848$ , then the surface area of the cylinder increases

Therefore, the surface area is minimized when the radius is $r=5.848cm$ , making the minimum height $h=\frac{V}{\pi r^2}=\frac{400\pi}{\pi(5.848)^2}\approx11.696cm$ .

In conclusion, the 2nd option is correct.

3 0

2 years ago

Solve it in elimination method 4x+3y=10

zhenek [66]

There is another equation to solve it simultaneously

6 0

3 years ago

A right triangle has a hypotenuse of 155 centimeters and a leg of 124 centimeters. Which of these is the length of the other leg

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Using Pythagoras' identity on the right triangle

let x be the other leg to be found, then

155² = 124² + x²

24025 = 15376 + x² ( subtract 15376 from both sides )

8649 = x² ( take the square root of both sides )

$\sqrt{8649}$ = x

Hence x = 93 cm ← length of other leg → a

8 0

3 years ago

#6 - Calculate the monthly payment necessary to retire the following loan

klemol [59]

9514 1404 393

Answer:

A) $1350

B) $5850

C) $162.50

Step-by-step explanation:

A) The interest is given by the formula ...

I = Prt

where P is the principal amount, r is the interest rate, and t is the number of years.

I = $4500×0.10×3 = $1350

The interest owed is $1350.

B) At maturity, the principal and interest are due. That amount is ...

$4500 +1350 = $5850

The maturity value is $5850.

C) If the maturity value is paid in 36 equal monthly installments, each is ...

$5850/36 = $162.50

The monthly payment is $162.50.

4 0

3 years ago