Can someone please help me? The question is: Which statement best describes (3 × 4) × 6 = 3 × (4 × 6)?

Mathematics

1 answer:

Elza [17]3 years ago

7 0

Answer:

Step-by-step explanation:

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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

∠QPS is a right angle and m∠QPR = 71°, what is m∠RPS?

natta225 [31]

Answer: <RPS = 161

Step-by-step explanation:

P is the common vertex in all of these angles. From this we know that these have to be adjacent angles (<QPR and <QPS) that equal the whole angle (<RPS)

<QPR+<QPS= <RPS

71+90= 161

(<QPS is a right angle. Right angles are equal to 90 degrees.)