1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Harrizon [31]
3 years ago
5

Determine whether the forces are pulling at right angles to each other. Explain. 3.5 lb, 6.2 lb, resultant force 9.1 lb

Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0
The resultant force in this item, is that which connects the heads of the magnitude of the given vectors. The magnitude of the resultant force can be calculated through the Pythagorean theorem which states that the square of the resultant force should be equal to the sum of the squares of the smaller forces. That is,
          A² + B² = C²

Investigating the vector values, 
 A² + B² = (3.5 lb)² + (6.2 lb)² = 50.69 lb²
C² = (9.1 lb)² = 82.81 lb²

Since the Pythagorean theorem is not satisfied by the given set of forces then, the forces are not in right angle. 

The answer to the question is letter C. 
You might be interested in
Which of the following is the correct equation for the distance formula for the points (x1, y1) and (x2,y2)?
svp [43]

Answer:

  A. D=sqrt( (x2-x1)^2+(y2-y1)^2 )

Step-by-step explanation:

The distance between two points is the root of the sum of the squares of the differences in their corresponding coordinates. The equation of choice A is the usual formulation.

__

<em>Comment on answer choices</em>

Because the square of a number is the same as the square of its opposite, the formula in choice D is also correct.

4 0
3 years ago
Set up a linear system and solve
crimeas [40]

Answer:

1300 and 700 respectively.

Step-by-step explanation:

Let x be invested in first account and y be invested in second account.

ATQ, x+y=2000 and 101=(4)*x/100+7*y/100. Solving it will give us x=1300 and y=700

6 0
3 years ago
Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research
kolbaska11 [484]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

Yes the researcher can  conclude that the supplement has a significant effect on cognitive skill

b

d =  0.5778

c

The result of this hypothesis test shows that there is sufficient evidence to  that the supplement had significant effect.The measure of effect size is  large due to the large value of Cohen's d (0.5778 > 0.30 )

Step-by-step explanation:

From the question we are told that

  The sample size is  n=16

    The sample mean is  M  =  50.2

    The standard deviation is \sigma  = 9

    The  population mean is  \mu =  45

     The level of significance is  \alpha =  0.05

The null hypothesis is H_o  \mu =45

The alternative hypothesis is H_a  \mu \ne 45

Generally the test statistics is mathematically represented as

          z =  \frac{M -  \mu}{\frac{\sigma}{\sqrt{n} } }

=>       z =  \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }

=>       z =  2.31

Generally the p-value is mathematically represented as

     p-value  =  2 *  P(Z >  z )

      p-value  =  2 *  P(Z >  2.31 )

From the z-table  

      P(Z >  2.31 ) = 0.010444

=>     p-value  =  2 *  0.010444

=>     p-value  =  0.021

From the obtained values we see that p-value <  0.05

 Decision Rule

 Reject the null hypothesis

Conclusion

There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults

Generally the Cohen's d for this study is mathematically represented as

    d =  \frac{M  -  \mu}{\sigma }

=>  d =  \frac{50.2 -45}{9 }

=>  d =  0.5778

3 0
3 years ago
Jacob bought one bulb of elephant garlic for $2. How many bulbs can Stephanie buy if she has $12?
Marysya12 [62]

Answer:

She can buy six bulbs of garlic

Step-by-step explanation:

Well you know that each bulb of garlic is 2 dollars.  You also know that Stephanie has 12 dollars.  In order to solve this you need to take the amount of money Stephanie has and divide it by the price per bulb in order to find out how many bulbs she can buy.

12/2 = 6

She can buy 6 bulbs of garlic

5 0
3 years ago
Read 2 more answers
Hmingsanga sells a washing machine for Rs 13,500. He loses 20% in the bargain. What was the price at wich he bought it?
Serggg [28]

Answer:

10800

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • The bus driver made 6 stops on his way into town. No passengers left the bus. By stop 3, there were 9 passengers on the bus. How
    13·2 answers
  • What is the solution to this system of equations? 3x + y = 17 x + 2y = 49
    12·1 answer
  • A bicyclist started riding at 8:00 A.M. The diagram below shows the distance the bicyclist had traveled at different times. What
    8·1 answer
  • HELP ME PLEASEEEE! Thank you
    15·1 answer
  • Jeff earns money mowing lawns. His earnings and hours worked represent a direct variation. He worked for 5 hours and earned $37.
    14·1 answer
  • Lina has a total of 72 blue and red marbles in a box. The probability of choosing a blue marble at random from the box is 4/9
    7·1 answer
  • In the figure, what is the value of a?<br> a<br> 35<br> 48<br> 21
    12·1 answer
  • In which quadrant does the given point lie?<br><br> (-1,5)
    9·1 answer
  • Please help me thank you
    5·1 answer
  • What is the rate of change of the line through (2,3) and (3,8)?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!