Correct answers are:

1) 1/3 (NOT 3/10). .3 repeating is not 3/10, 3/10 is .3.
2) 1/8. To solve, .125 has three places, so use 1000. 1000/125 is 8, that is your denominator. 125/125 is 1 is your numerator.
3) 1/6 (divide 100/16, which is 6 ¼ - round to 6. If you carry this out to 1,000,000/166,667, it is very close to 6.
4) 1/10
5) 2/3 (NOT 3/5)
6) 1/5 (2/10 reduced to 1/5)
7) 3/4 (75/100 reduced)

7 0

3 years ago

A force of 4 pound acts in the direction of 48degree to the horizontal. The force moves an object along a straight line from the

Dafna11 [192]

Answer:

Work Done = 27.66 Joules

Step-by-step explanation:

The work done is:

$W=F*d*Cos \theta$

Where

F is the fore

d is the distance moved

$\theta$ is the angle

The force is "4"

The distance is the distance from (1,7) to (8,10)

The distance is the square root of change in y coordinates, squared and sum of change in x coordinates, squared. Hence, distance is:

$\sqrt{(10-7)^2+(8-1)^2}\\=\sqrt{3^2+7^2}\\\sqrt{58}$

The angle is gotten by the formula:

$Cos\phi = \frac{Force in x direction}{Distance}\\Cos\phi = \frac{8-1}{\sqrt{58}}\\Cos\phi=\frac{7}{\sqrt{58}}\\\phi = Cos^{-1}\frac{7}{\sqrt{58}}\\\phi = 23.21$

So, now:

$\theta = 48 - 23.21 = 24.79$

Work Done = $F*d * Cos\theta = 4 * \sqrt{58} * Cos(24.79)$

Work Done = 27.66 Joules

6 0

3 years ago

which of the following represents a relation that is not a function? a. x -8 -6 7 10 y 33 31 39 33 b. x -8 -6 0 3 y 33 31 39 33

boyakko [2]

X => -8 -6 -8 3
y => 33 31 39 33
is not a function because the x value -8 results to two different y-values 33 and 39.

8 0

4 years ago