What is the area of this figure? 6cm, 7cm, 10cm, 21cm, and 6cm

Manita carries a box of mass 40 kg. What is the weight of the box?( g=9.8m/s)

Lilit [14]

Explanation:

Mass of boy = 40 kg

Mass of box = 20 kg

Total mass = 60 kg

Initial potential energy = 0 (since height would be 0 initially)

Final potential energy = mgh

Taking g as 10 m/s²,

=> 60 × 10 × 15

= 9,000 J

So, work done = final potential energy - initial potential energy

= 9,000 J

Power = Work/Time

=> Power = 9000/25

=> Power = 360 J/s

or 360 watt.

8 0

2 years ago

AB lies on a number line. The coordinate of point A is -6. Given that AB=20, what are two possible coordinates for point B?

Dafna1 [17]

Answer:

-26 or 14

Step-by-step explanation:

Given that

Coordinate of point A is -6.

Length of AB = 20

To find:

Coordinates for the point B = ?

Solution:

We are given that:

AB = 20

In other words, we can use modulus function to define the distance between A and B:

|Coordinates of B - Coordinates of A| = 20

Let the coordinates of B = $x$

Kindly refer to the attached image for the given situation.

Point B might be either on the left or on the right side of A.

That means:

$|x-(-6)| = 20\\\Rightarrow |x+6|=20$

Now, let us have a look at the modulus function:

$|y|=\left \{ {-{y}\ if\ y0} \right.$

So,

$|x+6|=\left \{ {-{(x+6)}\ if\ (x+6)0} \right.$

$(x+6 ) =20\\\Rightarrow x =14$

$-(x+6 ) =20\\\Rightarrow x =-26$

Therefore, the answer is:

-26 or 14

4 0

3 years ago

The temperature in Carla’s city is decreasing. For the past 9 days, the temperature has decreased by 3 degrees Fahrenheit each d

Sav [38]

Answer:

9/3

Step-by-step explanation:

7 0

2 years ago

Find the point of intersection (if any) of the following pairs of lines: a) x – 2y +1=0 2x + 3y – 7 = 0 b) x-2y+11=0 -x+2y-13 =

pychu [463]

Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

2x + 3y - 7 = 0

To find the point of intersection, we need to solve the system of equations and the result will be the point of intersection (x,y)

$x-2y+1=0\\x= 2y-1$

Now we substitute x in the second equation:

$2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7$

Now we substitute y in our first equation.

$x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7$ .

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

-x + 2y - 13 =0

We are going to follow the same procedure:

$x-2y+11=0\\x=2y-11$

$-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2$

Since this system of equations doesn't have a solution, the system has no point of intersection.

5 0

3 years ago

A password is required to be 12 to 16 characters in length. Characters can be digits (0-9), upper or lower-case letters (A-Z, a-

valkas [14]

Answer:

Step-by-step explanation:

You can find your answer in attached document.

4 0

3 years ago