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MatroZZZ [7]
3 years ago
7

In one day, by how much does the distance traveled by the tip of the minute hand exceed the distance traveled by the tip of the

hour hand?
Mathematics
1 answer:
lidiya [134]3 years ago
7 0
In one day, there are 24 hours. In 1 hour, there are 3,600 seconds. So, that means that there are 86,400 seconds. Also, in 1 day, the short hand which denotes the number of hours, makes 2 revolutions around the clock. Its distance traveled would be twice the perimeter of the circle. 

Distance traveled by hour hand = 2(2πr) = 4πr₁

In 60 s, the long hand, which denotes numbers of minutes, makes one revolution around the clock. Since there are 86,400 seconds in a day, that would be a total of 1,440 revolutions.

Distance traveled by minute hand = 1,440(2πr) = 2,880πr₂

Difference = 2880πr₂ - 4πr₁ = 4π(720r₂ - r₁), where r₁ is the length of hour hand and r₂ is the length of minute hand.
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PLEASE PLEASE HELP WILL GIVE GIVE BRAINLIEST PLS!!!!!!!!!! Create a factorable polynomial with a GCF of 3x. Rewrite that polynom
Naily [24]

Answer:

Step-by-step explanation:

you can think in a reverse way:

Take

3x(x^2+2x+3y^2)= 3x^3+6x^2+9xy^2.

So the answer is

3x^3+6x^2+9xy^2 = 3x(x^2+2x+3y^2)

6 0
3 years ago
What is the row echelon form of this matrix?
USPshnik [31]

The row echelon form of the matrix is presented as follows;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

\begin{bmatrix}-3 &6  &15  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

The conditions of a matrix in the row echelon form are as follows;

  1. There are row having nonzero entries above the zero rows.
  2. The first nonzero entry in a nonzero row is a one.
  3. The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

\begin{bmatrix}1 &-2  &-5  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 1&0  &-1  \\\end{bmatrix}

Subtracting Row 1 from Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&2  &4  \\\end{bmatrix}

Adding Row 2 to Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&0  &18  \\\end{bmatrix}

Dividing Row 2 by -2, and Row 3 by 18 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

The above matrix is in the row echelon form

Learn more about the row echelon form here:

brainly.com/question/14721322

#SPJ1

8 0
1 year ago
Ok so, 67 out of 206 species of birds found in the Badlands nest there. 824 species were found in the Badlands. How many of thos
gulaghasi [49]

Answer: 268

Step-by-step explanation:

From the question, we are informed that 67 out of 206 species of birds found in the Badlands nest there and that 824 species were found in the Badlands. The number of those that nest there would be:

= 67 × 824/206

= 67 × 4

= 268

6 0
2 years ago
Ms. Hanuanaer helped students prepare juice. The recipe was 320 ounces of cranberry juice, 320 ounces of sprite, and a splash of
salantis [7]
This is a two step word problem so first your gonna have to subtract 320-50= 270 then divide to find your final answer so 270 divided by 8 is 33.75
4 0
3 years ago
Whats -33 + -20 , show how you can describe it.”
Advocard [28]

Step-by-step explanation:

-33 + -20 is -53. and I don't how

8 0
3 years ago
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