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3 years ago

9

Long ago, people decided to divide the day into units called hours. They chose 24 as the number of hours in one day. Why is 24 a

more convenient choice than 23 or 25?

1 answer:

jasenka [17]3 years ago

7 0

Because 24 is an even number. This means it has more factors and is easier to divide into integers than 23 or 25.

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The angle looking up at the sun is 70°. A flagpole casts a shadow of 15 ft. Draw a diagram and find the height of the flagpole

dangina [55]

Answer:

The length of the flagpole be 41.2 ft .

Option (A) is correct .

Step-by-step explanation:

As given

The angle looking up at the sun is 70°.

A flagpole casts a shadow of 15 ft .

Now by using the trignometric identity .

$tan \theta = \frac{Perpendicular}{Base}$

$\ theta = 70^{\circ}$

$tan\ 70^{\circ} = \frac{AB}{BC}$

BC = 15 ft

tan 70° = 2.75 (Approx)

$2.75 = \frac{AB}{15}$

AB = 2.75 × 15

= 41.2 ft

Therefore the length of the flagpole be 41.2 ft .

Option (A) is correct .

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This equation shows how the total number of pieces Lamar has learned depends on the number of weeks he has taken piano lessons.

Dominik [7]

Answer:

19 weeks

Step-by-step explanation:

Given equation:

P = w

Where,

w = the number of weeks he has taken piano lessons

p = the total number of pieces he has learned

how many weeks of piano lessons will Lamar need before he will be able to play a total of 19 pieces?

Find w when p = 19

P = w

p = 19

Since P = w

19 = w

Therefore,

w = 19

Lamar need 19 weeks before he will be able to play a total of 19 pieces

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3 years ago

Solve this equation: -72 + 12 - 2.x = 23 + 13.2

natta225 [31]

Answer:

x =-48.1

Step-by-step explanation:

-72 + 12 - 2.x = 23 + 13.2

Combine like terms

-60 -2x = 36.2

Add 60 to each side

-2x -60+60 = 36.2+60

-2x = 96.2

divide by -2

-2x/-2 = 96.2/-2

x =-48.1

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3 years ago

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Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x – 2 points

olga2289 [7]

Answer:

(6x+5)(9x-2)

Step-by-step explanation:

Area = Length x Width

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3 years ago

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Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure. x 1 plus 2 x

tankabanditka [31]

Answer:

The solution to the system is:

$\begin{array}{ccc}x_1&=&-8\\x_2&=&2\end{array}$

Step-by-step explanation:

To find the solution to the system of linear equations

$\left\begin{array}{cccccc}x_1&+&2x_2&=&-4\\3x_1&+&8x_2&=&-8\end{array}\right$

using elementary row operations.

First, state the problem in matrix form. A matrix is a grid of numbers without the vertical line.

$\left[\begin{array}{cc|c}1&2&-4\\3&8&-8\end{array}\right]$

This is called an augmented matrix. The word “augmented” refers to the vertical line, which we draw to remind ourselves where the equals sign belongs.

Now,

Row Operation 1: add -3 times the 1st row to the 2nd row

$\left[\begin{array}{cc|c}1&2&-4\\0&2&4\end{array}\right]$

Row Operation 2: multiply the 2nd row by 1/2

$\left[\begin{array}{cc|c}1&2&-4\\0&1&2\end{array}\right]$

Row Operation 3: add -2 times the 2nd row to the 1st row

$\left[\begin{array}{cc|c}1&0&-8\\0&1&2\end{array}\right]$

Next, interpret the reduced row echelon form

$\left[\begin{array}{cc|c}1&0&-8\\0&1&2\end{array}\right] \rightarrow \begin{array}{ccc}x_1&=&-8\\x_2&=&2\end{array}$

The solution to the system is:

$\begin{array}{ccc}x_1&=&-8\\x_2&=&2\end{array}$

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